SUBROUTINE FILLHIGGS2(NSMIN,NSSIN,SMPARA_H,SSPARA_H,NFLAG,IFLAG_H . ,MCH,HMASS,OMIX_OUT) ************************************************************************ * --- * |1| RAUX_H(10) is reserved for the charged Higgs boson POLE mass * --- when IFLAG_H(11)=0 but an effective potential mass when * IFLAG_H(11)=1. * --- * |2| New flag IFLAG_H(12) * --- * 1 : same as the old one but without CP phase regulator * 2 : 1+Including threshold corrections to CPI_Q * 3 : 1+Including threhsold corrections to X1L1-X1L4 * 4 : 1+Pole mass improvement * 5 : full improvement 1+2+3+4+5 * * --- * |3| New flag IFLAG_H(60) * --- * IFLAG_H(60)=1 returned when iteration for the on-shell Higgs masses * fails. * --- * |4| The plan of calculating the Higgs masses depending on IFLAG_H(12) * --- is as follows: * * Call GET_MASQ for MA^2(s=MCH^2) * * Call GET_CMNH for CMNH[4,4](s=0), the neutral Higgs-boson * mass squared matrix at s=0. As a result we have EP3[3] and * OMIX_0[3,3] * * Then we treat two cases seperately depending on IFLAG_H(12) * * -+=>> When IFLAG_H(12)=1,2,3: * Call GET_CMNH for CMNH[4,4](s=EP3[3]^2) and, as a result, we * have HP3[3] together with OMIX_0[3,3] taking the way used in * the previous FILLHIGGS routine * * -+=>> When IFLAG_H(12)=4,5: * Call GET_CMNH for CMNH[4,4](s=HP3[3]^2) and, as a result, we * have HP3[3] together with OMIX_{1,2,3}[3,3]. The numerical * iteration is needed * * Then finally, * * -+=>> If IFLAG_H(11)=1: * HMASS[3]=EP[3], MCH_OUT=MCH^eff., OMIX_OUT[3,3]=OMIX_0[3,3] * * * -+=>> If IFLAG_H(11)=0: * HMASS[3]=HP[3], MCH_OUT=MCH^pole, OMIX_OUT[3,3]=OMIX_0[3,3] * In this case, the reordering may need. * * N.B. We are returning the mixing matrix at s=0 for, specifically, * the couplings of the Higgs bosons * ************************************************************************ IMPLICIT REAL*8(A-H,M,O-Z) * REAL*8 SMPARA_H(NSMIN),SSPARA_H(NSSIN) INTEGER*8 IFLAG_H(NFLAG) REAL*8 HMASS(3),OMIX_OUT(3,3) * *----------------------------------------------------------------------- *+CDE HC_ COMMON BLOCKS: COMMON /HC_SMPARA/ AEM_H,ASMZ_H,MZ_H,SW_H,ME_H,MMU_H,MTAU_H,MDMT_H . ,MSMT_H,MBMT_H,MUMT_H,MCMT_H,MTPOLE_H,GAMW_H . ,GAMZ_H,EEM_H,ASMT_H,CW_H,TW_H,MW_H,GW_H,GP_H . ,V_H,GF_H,MTMT_H * COMMON /HC_RSUSYPARA/ TB_H,CB_H,SB_H,MQ3_H,MU3_H,MD3_H,ML3_H,ME3_H * COMPLEX*16 MU_H,M1_H,M2_H,M3_H,AT_H,AB_H,ATAU_H COMMON /HC_CSUSYPARA/ MU_H,M1_H,M2_H,M3_H,AT_H,AB_H,ATAU_H * *NEW COMMON BLOCKS for V2 * REAL*8 RAUX_H(999) COMPLEX*16 CAUX_H(999) COMMON /HC_RAUX/ RAUX_H COMMON /HC_CAUX/ CAUX_H DATA NAUX/999/ *----------------------------------------------------------------------- *Local COMPLEX*16 CDELHB,CDELHB1,CDELHB2 COMPLEX*16 CDELHT,CDELHT1,CDELHT2 COMPLEX*16 HT_CP,HB_CP COMPLEX*16 CMNH(4,4),CTMP3(3,3) COMPLEX*16 CTR23,CDET23,CD23 * REAL*8 NH3(3,3),EV3(3),AUX3(3) REAL*8 EP3(3),HP3(3) REAL*8 HP3_TMP(3),OMIX_TMP(3,3) REAL*8 OMIX_0(3,3),OMIX_1(3,3),OMIX_2(3,3),OMIX_3(3,3) * REAL*8 DMH3(3,3),DET_DMH3 * PI=2.D0*DASIN(1.D0) * *------------------------------------------------------------------------- *Several SFermion mass scales *------------------------------------------------------------------------- * QQT2=SSPARA_H(11)**2+MTPOLE_H**2 QTT2=SSPARA_H(12)**2+MTPOLE_H**2 QST2=DMAX1(QQT2,QTT2) QQB2=SSPARA_H(11)**2+MBMT_H**2 QBB2=SSPARA_H(13)**2+MBMT_H**2 QSB2=DMAX1(QQB2,QBB2) QSF2=DMAX1(QST2,QSB2) * print*,'>> Check 1 (NEW) : ',QST2,QSB2,QSF2 RAUX_H(11)=QST2 RAUX_H(12)=QSB2 RAUX_H(13)=QSF2 * print*,'Scales^2:',qst2,qsb2,qsf2 * *------------------------------------------------------------------------- * VEVs and Yukawa Couplings at SFermion scales without including the * Threshold corrections *------------------------------------------------------------------------- * *.....At Mt_pole : HTSM=DSQRT(2.D0)*MTMT_H/V_H HT =DSQRT(2.D0)*MTMT_H/V_H/SB_H HB =DSQRT(2.D0)*MBMT_H/V_H/CB_H GS2 =4.D0*PI*ASMT_H BTSM=1.D0/16.D0/PI**2*(9.D0*HTSM**2/2.D0-8.D0*GS2) BBSM=1.D0/16.D0/PI**2*(HTSM**2/2.D0-8.D0*GS2) BT=1.D0/16.D0/PI**2*(9.D0*HT**2/2.D0+HB**2/2.D0-8.D0*GS2) BB=1.D0/16.D0/PI**2*(9.D0*HB**2/2.D0+HT**2/2.D0-8.D0*GS2) V1=V_H*CB_H V2=V_H*SB_H * print*,'>> Check 2 (NEW) : ',HTSM,HT,HB,GS2 IF(MCH.GT.MTPOLE_H) THEN ! MTpole < MCH < MSfermion * two-step running from MTpole to Sfermion scale * *......VEVs at MCH TB_MCH=TB_H*(1.D0 . -3.D0*(HT**2-HB**2)/32.D0/PI**2*DLOG(MCH**2/MTPOLE_H**2)) CB_MCH= 1.D0/DSQRT(1.D0+TB_MCH**2) SB_MCH= TB_MCH/DSQRT(1.D0+TB_MCH**2) XISM=1.D0+3.D0*HTSM**2/32.D0/PI**2*DLOG(MCH**2/MTPOLE_H**2) V_MCH=V_H/XISM V1_MCH=CB_MCH*V_MCH V2_MCH=SB_MCH*V_MCH * print*,'>> Check 3 (NEW) : ',TB_MCH,XISM,V_H,V1_MCH,V2_MCH *......Yukawa Couplings at MCH HT_MCH=HT*(1.D0+2.D0*BTSM*DLOG(MCH**2/MTPOLE_H**2))**0.25D0 HB_MCH=HB*(1.D0+2.D0*BBSM*DLOG(MCH**2/MTPOLE_H**2))**0.25D0 *......VEVs and anomalous-dim factors at Sfermion scale XI1H_ST=1.D0+3.D0*HB**2/32.D0/PI**2*DLOG(QST2/MCH**2) XI1H_SB=1.D0+3.D0*HB**2/32.D0/PI**2*DLOG(QSB2/MCH**2) XI1H_SF=1.D0+3.D0*HB**2/32.D0/PI**2*DLOG(QSF2/MCH**2) XI2H_ST=1.D0+3.D0*HT**2/32.D0/PI**2*DLOG(QST2/MCH**2) XI2H_SB=1.D0+3.D0*HT**2/32.D0/PI**2*DLOG(QSB2/MCH**2) XI2H_SF=1.D0+3.D0*HT**2/32.D0/PI**2*DLOG(QSF2/MCH**2) V1_ST=V1_MCH/XI1H_ST V1_SB=V1_MCH/XI1H_SB V1_SF=V1_MCH/XI1H_SF V2_ST=V2_MCH/XI2H_ST V2_SB=V2_MCH/XI2H_SB V2_SF=V2_MCH/XI2H_SF XI1_ST=1.D0+3.D0*HB**2/32.D0/PI**2*DLOG(QST2/MTPOLE_H**2) XI1_SB=1.D0+3.D0*HB**2/32.D0/PI**2*DLOG(QSB2/MTPOLE_H**2) XI1_SF=1.D0+3.D0*HB**2/32.D0/PI**2*DLOG(QSF2/MTPOLE_H**2) XI2_ST=1.D0+3.D0*HT**2/32.D0/PI**2*DLOG(QST2/MTPOLE_H**2) XI2_SB=1.D0+3.D0*HT**2/32.D0/PI**2*DLOG(QSB2/MTPOLE_H**2) XI2_SF=1.D0+3.D0*HT**2/32.D0/PI**2*DLOG(QSF2/MTPOLE_H**2) * print*,'>> Check 4 (NEW) : ',V1_ST,V1_SB,V1_SF,V2_ST,V2_SB,V2_SF *......Yukawa Couplings and its CP phases at fermion and Sfermion scales HT_MT=HT HT_ST=HT_MCH*(1.D0+2.D0*BT*DLOG(QST2/MCH**2))**0.25D0 HT_SF=HT_MCH*(1.D0+2.D0*BT*DLOG(QSF2/MCH**2))**0.25D0 HT_CP=DCMPLX(1.D0,0.D0) HB_MT=HB HB_SB=HB_MCH*(1.D0+2.D0*BB*DLOG(QSB2/MCH**2))**0.25D0 HB_SF=HB_MCH*(1.D0+2.D0*BB*DLOG(QSF2/MCH**2))**0.25D0 HB_CP=DCMPLX(1.D0,0.D0) * print*,'>> Check 5 (NEW) : ',HT_ST,HT_SF,HB_SB,HB_SF * ELSE ! MCH < MTpole < M_Sfermion : One-step from Mtpole to Sfermion scales * *......VEVs and anomalous-dim factors at Sfermion scale XI1_ST=1.D0+3.D0*HB**2/32.D0/PI**2*DLOG(QST2/MTPOLE_H**2) XI1_SB=1.D0+3.D0*HB**2/32.D0/PI**2*DLOG(QSB2/MTPOLE_H**2) XI1_SF=1.D0+3.D0*HB**2/32.D0/PI**2*DLOG(QSF2/MTPOLE_H**2) XI2_ST=1.D0+3.D0*HT**2/32.D0/PI**2*DLOG(QST2/MTPOLE_H**2) XI2_SB=1.D0+3.D0*HT**2/32.D0/PI**2*DLOG(QSB2/MTPOLE_H**2) XI2_SF=1.D0+3.D0*HT**2/32.D0/PI**2*DLOG(QSF2/MTPOLE_H**2) V1_ST=V_H*CB_H/XI1_ST V1_SB=V_H*CB_H/XI1_SB V1_SF=V_H*CB_H/XI1_SF V2_ST=V_H*SB_H/XI2_ST V2_SB=V_H*SB_H/XI2_SB V2_SF=V_H*SB_H/XI2_SF *......Yukawa Couplings and its CP phase at fermion and Sfermion scale HT_MT=HT HT_ST=HT*(1.D0+2.D0*BT*DLOG(QST2/MTPOLE_H**2))**0.25D0 HT_SF=HT*(1.D0+2.D0*BT*DLOG(QSF2/MTPOLE_H**2))**0.25D0 HT_CP=DCMPLX(1.D0,0.D0) HB_MT=HB HB_SB=HB*(1.D0+2.D0*BB*DLOG(QSB2/MTPOLE_H**2))**0.25D0 HB_SF=HB*(1.D0+2.D0*BB*DLOG(QSF2/MTPOLE_H**2))**0.25D0 HB_CP=DCMPLX(1.D0,0.D0) * print*,'>> Check 4 (NEW) : ',V1_ST,V1_SB,V1_SF,V2_ST,V2_SB,V2_SF * print*,'>> Check 5 (NEW) : ',HT_ST,HT_SF,HB_SB,HB_SF * print*,HB,BB,2.D0*BB*DLOG(QSF2/MTPOLE_H**2) * ENDIF ! IF( MCH > MTpole ) * * RAUX_H(14)=V1 * RAUX_H(15)=V1_ST * RAUX_H(16)=V1_SB * RAUX_H(17)=V1_SF * print*,'V1: Before corrections',v1,v1_st,v1_sb,v1_sf * RAUX_H(18)=V2 * RAUX_H(19)=V2_ST * RAUX_H(20)=V2_SB * RAUX_H(21)=V2_SF * print*,'V2: Before corrections',v2,v2_st,v2_sb,v2_sf RAUX_H(22)=HT_MT RAUX_H(23)=HB_MT * print*,'HT,HB (Before Corrections):',ht_mt,hb_mt *------------------------------------------------------------------------- * Threshold corrections when IFLAG_H(10)=0: Resummed by iteration with * N_iteration <= 100. If N_iteration > 100, IFLAG_H(54)=1 returned * The Yukawa couplings at Sfermions mass scales including the threshold * corrections has been calculated. The results calculated without corrections * in the above are used as inputs. *------------------------------------------------------------------------- * *.....Some gauge couplings GWY2=GW_H**2/8.D0/CW_H**2 GXT2=(GW_H**2-5.D0*GW_H**2*SW_H**2/CW_H**2/3.D0)/4.D0 GXB2=(GW_H**2-GW_H**2*SW_H**2/CW_H**2/3.D0)/4.D0 *.....Alpha_S(Stop, Sbottom) B6=( 11.D0 - 2.D0*6.D0/3.D0 )/(4.D0*PI) AS_ST = ASMT_H/( 1.D0 + B6*ASMT_H*DLOG(QST2/MTPOLE_H**2) ) AS_SB = ASMT_H/( 1.D0 + B6*ASMT_H*DLOG(QSB2/MTPOLE_H**2) ) *.....Not Corrected Yukawa couplings HB_NC=HB_SB HT_NC=HT_ST * * print*,'HT (Before Corrections):',ht_mt,ht_st,ht_sf * print*,'HB (Before Corrections):',hb_mt,hb_sb,hb_sf * IF(IFLAG_H(10).EQ.0) THEN * print*,'Threshold corrections ON:' *.....ITeRations ITR=0 ITRMAX=100 EPS_TR=1.D-3 * EPS_TR=1.D-9 ! to test precision *.....An approximated maximal value is used for the initial b-quark Yukawa coupling. *.....The results are independent of the initial values of the Yukawa couplings. *JSL;03/MAR/2006, we add 1 GeV to AB to avoid pole in initial HB_R. IF(CDABS(CB_H*DCONJG(AB_H)-MU_H*SB_H).EQ.0.D0) THEN HB_R=DSQRT((SSPARA_H(11)**2+MBMT_H**2)*QSB2) . /MTPOLE_H/CDABS(CB_H*DCONJG(AB_H+1.D0)-MU_H*SB_H) ELSE HB_R=DSQRT((SSPARA_H(11)**2+MBMT_H**2)*QSB2) . /MTPOLE_H/CDABS(CB_H*DCONJG(AB_H)-MU_H*SB_H) ENDIF * HT_R=0.D0 HT_R=HT_NC * 111 CONTINUE ITR=ITR+1 C.....stop and sbottom masses**2 (Note it's squared!) 110 CONTINUE SUM_ST=SSPARA_H(11)**2+SSPARA_H(12)**2+HT_R**2*V2_ST**2 . +GWY2*(V1_ST**2-V2_ST**2) DIF_ST2=(SSPARA_H(11)**2-SSPARA_H(12)**2 . +GXT2*(V1_ST**2-V2_ST**2)/2.D0)**2 . +2.D0*HT_R**2*CDABS(DCONJG(AT_H)*V2_ST-MU_H*V1_ST)**2 MSQ_ST2=(SUM_ST+DSQRT(DIF_ST2))/2.D0 MSQ_ST1=(SUM_ST-DSQRT(DIF_ST2))/2.D0 SUM_SB=SSPARA_H(11)**2+SSPARA_H(13)**2+HB_R**2*V1_SB**2 . +GWY2*(V2_SB**2-V1_SB**2) DIF_SB2=(SSPARA_H(11)**2-SSPARA_H(13)**2 . +GXB2*(V2_SB**2-V1_SB**2)/2.D0)**2 . +2.D0*HB_R**2*CDABS(DCONJG(AB_H)*V1_SB-MU_H*V2_SB)**2 MSQ_SB2=(SUM_SB+DSQRT(DIF_SB2))/2.D0 MSQ_SB1=(SUM_SB-DSQRT(DIF_SB2))/2.D0 * IF(MSQ_SB1.LT.0.D0) THEN ! Tachyonic sbottom_1 * print*,'WARNING : SB1 becomes tachyonic! HB_R -> 0.9*HB_R',hb_r HB_R=0.9D0*HB_R GOTO 110 ENDIF *JSL:09/MAR/2006 Is it needed? I think so IF(MSQ_ST1.LT.0.D0) THEN ! Tachyonic stop_1 * print*,'WARNING : ST1 becomes tachyonic! HT_R -> 0.9*HT_R',ht_r HT_R=0.9D0*HT_R GOTO 110 ENDIF * print*,'>> Check 6 (NEW) : ',ITR,MSQ_ST1,MSQ_ST2,MSQ_SB1, * . MSQ_SB2,HT_R,HB_R * print*,'>> Check 6 (NEW) : ',ITR,HT_R,HB_R ! simplified check *.....Threshold Corrections CDELHB1 = -2.D0*AS_SB/(3.D0*PI)*DCONJG(M3_H)*AB_H . *F_I(MSQ_SB1,MSQ_SB2,CDABS(M3_H)**2) . -HT_R**2/(16.D0*PI**2)*CDABS(MU_H)**2 . *F_I(MSQ_ST1,MSQ_ST2,CDABS(MU_H)**2) CDELHB2 = 2.D0*AS_SB/(3.D0*PI)*DCONJG(M3_H*MU_H) . *F_I(MSQ_SB1,MSQ_SB2,CDABS(M3_H)**2) . +HT_R**2/(16.D0*PI**2)*DCONJG(AT_H*MU_H) . *F_I(MSQ_ST1,MSQ_ST2,CDABS(MU_H)**2) CDELHB = CDELHB1 + CDELHB2*V2_SB/V1_SB CDELHT1 = 2.D0*AS_ST/(3.D0*PI)*DCONJG(M3_H*MU_H) . *F_I(MSQ_ST1,MSQ_ST2,CDABS(M3_H)**2) . +HB_R**2/(16.D0*PI**2)*DCONJG(AB_H*MU_H) . *F_I(MSQ_SB1,MSQ_SB2,CDABS(MU_H)**2) CDELHT2 = -2.D0*AS_ST/(3.D0*PI)*DCONJG(M3_H)*AT_H . *F_I(MSQ_ST1,MSQ_ST2,CDABS(M3_H)**2) . -HB_R**2/(16.D0*PI**2)*CDABS(MU_H)**2 . *F_I(MSQ_SB1,MSQ_SB2,CDABS(MU_H)**2) CDELHT = CDELHT1*V1_ST/V2_ST + CDELHT2 * print*,'Iterating ...',itr,cdelhb1,cdelhb2 * print*,'Iterating ...',itr,cdelht1,cdelht2 * HB_OLD=HB_R HT_OLD=HT_R HB_R=HB_NC/CDABS(1.D0+CDELHB) HT_R=HT_NC/CDABS(1.D0+CDELHT) IF(ITR.GE.ITRMAX) THEN IFLAG_H(54)=1 RETURN ENDIF IF(DABS(HB_OLD-HB_R)/DABS(HB_OLD+HB_R).GT.EPS_TR .OR. . DABS(HT_OLD-HT_R)/DABS(HT_OLD+HT_R).GT.EPS_TR ) THEN GOTO 111 ENDIF * * print*,'... Iteration ends :',itr,cdabs(cdelhb1),cdabs(cdelhb2) * print*,'... Iteration ends :',itr,cdabs(cdelht1),cdabs(cdelht2) * print*,'... Iteration ends : CDELHB',itr,cdelhb * print*,'... Iteration ends : CDELHT',itr,cdelht *Killing threshold corrections BY HAND: * print*,'Killing threshold corrections BY HAND:',ht_nc,hb_nc * HB_R=HB_NC * HT_R=HT_NC *.....Absoulte values of Yukawa couplings and its CP phases *.....including the threshold corrections *JSL 09/Sep/2009, ht(mt^pole) and hb(mt^pole) improved HT_ST=HT_R * HT_MT=HT_ST*(1.D0+2.D0*BT*DLOG(MTPOLE_H**2/QST2))**0.25D0 IF(MCH.GT.MTPOLE_H) THEN ! MTpole < MCH < MSfermion HT_MCH=HT_ST/(1.D0+2.D0*BT*DLOG(QST2/MCH**2))**0.25D0 HT_MT =HT_MCH/(1.D0+2.D0*BTSM*DLOG(MCH**2/MTPOLE_H**2))**0.25D0 HT_SF =HT_MCH*(1.D0+2.D0*BT*DLOG(QSF2/MCH**2))**0.25D0 ELSE ! MCH < MTpole < M_Sfermion HT_MT=HT_ST/(1.D0+2.D0*BT*DLOG(QST2/MTPOLE_H**2))**0.25D0 HT_SF=HT_MT*(1.D0+2.D0*BT*DLOG(QSF2/MTPOLE_H**2))**0.25D0 ENDIF ! IF(MCH.GT.MTPOLE_H) THEN HT_CP=CDABS(1.D0+CDELHT)/(1.D0+CDELHT) * HB_SB=HB_R * HB_MT=HB_SB*(1.D0+2.D0*BB*DLOG(MTPOLE_H**2/QSB2))**0.25D0 IF(MCH.GT.MTPOLE_H) THEN ! MTpole < MCH < MSfermion HB_MCH=HB_SB/(1.D0+2.D0*BB*DLOG(QSB2/MCH**2))**0.25D0 HB_MT =HB_MCH/(1.D0+2.D0*BBSM*DLOG(MCH**2/MTPOLE_H**2))**0.25D0 HB_SF =HB_MCH*(1.D0+2.D0*BB*DLOG(QSF2/MCH**2))**0.25D0 ELSE ! MCH < MTpole < M_Sfermion HB_MT=HB_SB/(1.D0+2.D0*BB*DLOG(QSB2/MTPOLE_H**2))**0.25D0 HB_SF=HB_MT*(1.D0+2.D0*BB*DLOG(QSF2/MTPOLE_H**2))**0.25D0 ENDIF ! IF(MCH.GT.MTPOLE_H) THEN HB_CP=CDABS(1.D0+CDELHB)/(1.D0+CDELHB) * print*,'>> FILLHIGGS ',hb_r,ht_r * print*,'>> FILLHIGGS ',hb_mt,ht_mt * print*,'>> FILLHIGGS ',bb,bt * ENDIF ! IF ( IFLAG_H(10)=0 ) *.....Check of perturbativity for h_t(M_SUSY) and h_b(M_SUSY) IF(HT_ST.GT.2.D0.OR.HB_SB.GT.2.D0) THEN IFLAG_H(55) = 1 RETURN ENDIF * RAUX_H(14)=V1 RAUX_H(15)=V1_ST RAUX_H(16)=V1_SB RAUX_H(17)=V1_SF * print*,'V1: After corrections (no changes)',v1,v1_st,v1_sb,v1_sf RAUX_H(18)=V2 RAUX_H(19)=V2_ST RAUX_H(20)=V2_SB RAUX_H(21)=V2_SF * print*,'V2: After corrections (no changes)',v2,v2_st,v2_sb,v2_sf * * print*,'>> Check 7 (NEW) : ',HT_ST,HT_SF,HB_SB,HB_SF * print*,'>> FILLHIGGS ',cdelhb1,cdelhb2,cdelht1,cdelht2 * RAUX_H(24)=HT_MT RAUX_H(25)=HT_ST RAUX_H(26)=HT_SF * print*,'HT (After Corrections):',ht_mt,ht_st,ht_sf RAUX_H(27)=HB_MT RAUX_H(28)=HB_SB RAUX_H(29)=HB_SF * print*,'HB (After Corrections):',hb_mt,hb_sb,hb_sf * CAUX_H(1)=HT_CP CAUX_H(2)=HB_CP * print*,'HT and HB Phases (After Corrections):',ht_cp,hb_cp *----------------------------------------------------------------------- *RG-improved Higgs-boson mass matrix in the Weak basis (phi_1,phi_2,a,G) *at S=0 *----------------------------------------------------------------------- *.....The squared off-shell momentum of the Higgs-boson propagator *.....or the c.o.m. energy squared for Higgs production at colliders *.....RG-improved MASQ: mass squared of the would-be CP-odd scalar CALL GET_MASQ(MCH**2,MCH,NFLAG,IFLAG_H . ,QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 . ,XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF . ,V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF . ,HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF . ,HT_CP,HB_CP . ,MASQ_P,REPI22_P,BL4VSQ_P,BARL4_P) MASQ =MASQ_P RAUX_H(30)=MASQ RAUX_H(31)=REPI22_P RAUX_H(32)=BL4VSQ_P RAUX_H(33)=BARL4_P * print*,'MA^2',masq * print*,'Re(Pi22),L4/2*V^2,L4',REPI22_P,BL4VSQ_P,BARL4_P * *.....The complex 4X4 neutral Higgs mass matrix CMNH CALL GET_CMNH(0.D0,MCH,MASQ,NFLAG,IFLAG_H . ,QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 . ,XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF . ,V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF . ,HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF . ,HT_CP,HB_CP,BARL1,BARL2,BARL34 . ,CMNH) * print*,'L1,L2,L34:',BARL1,BARL2,BARL34 RAUX_H(34)=BARL1 RAUX_H(35)=BARL2 RAUX_H(36)=BARL34 * DO I=1,3 DO J=1,3 NH3(I,J)=DREAL(CMNH(I,J)) * if (j.ge.i) print*,'MASS^2 matrix at s=0 ',i,j,nh3(i,j) ENDDO ENDDO * CALL DIAGRS(3,3,NH3,EV3,AUX3,IERR_DIAGRS) * Z12=NH3(1,1)*NH3(1,2)+NH3(2,1)*NH3(2,2)+NH3(3,1)*NH3(3,2) Z13=NH3(1,1)*NH3(1,3)+NH3(2,1)*NH3(2,3)+NH3(3,1)*NH3(3,3) Z23=NH3(1,2)*NH3(1,3)+NH3(2,2)*NH3(2,3)+NH3(3,2)*NH3(3,3) Z21=NH3(2,1)*NH3(1,1)+NH3(2,2)*NH3(1,2)+NH3(2,3)*NH3(1,3) Z31=NH3(3,1)*NH3(1,1)+NH3(3,2)*NH3(1,2)+NH3(3,3)*NH3(1,3) Z32=NH3(3,1)*NH3(2,1)+NH3(3,2)*NH3(2,2)+NH3(3,3)*NH3(2,3) * print*,'ZEROs? ',z12,z21 * print*,'ZEROs? ',z13,z31 * print*,'ZEROs? ',z23,z32 IF( (DABS(Z12).GT.1.D-14) .OR. (DABS(Z21).GT.1.D-14) .OR. . (DABS(Z13).GT.1.D-14) .OR. (DABS(Z31).GT.1.D-14) .OR. . (DABS(Z23).GT.1.D-14) .OR. (DABS(Z32).GT.1.D-14) ) THEN * print*,'Check Orthognality of OMIX_0 at s=0' IFLAG_H(52)=1 RETURN ENDIF * IF(EV3(1).LE.0.D0.OR.EV3(2).LE.0.D0.OR.EV3(3).LE.0.D0) THEN * print*,'MHSQ(EFF) =',ev3(1),ev3(2),ev3(3) IFLAG_H(51)=1 RETURN ENDIF IF(IERR_DIAGRS.GT.0) THEN * print*,'DIAGRS Error at sqrt(s) = 0' IFLAG_H(52)=1 RETURN ENDIF *The effective potential masses and the mixing matrix OMIX_0 at s=0 EP3(1)=DSQRT(EV3(1)) EP3(2)=DSQRT(EV3(2)) EP3(3)=DSQRT(EV3(3)) DO I=1,3 DO J=1,3 OMIX_0(I,J)=NH3(I,J) * print*,'OMIX_0',omix_0(i,j) ENDDO ENDDO * print*,'>> S=0 : Effective potential masses' * write(*,3) ep3(1),ep3(2),ep3(3) * print*,'>> Mixing matrix O at S=0' * write(*,3) oh3(1,1),oh3(1,2),oh3(1,3) * write(*,3) oh3(2,1),oh3(2,2),oh3(2,3) * write(*,3) oh3(3,1),oh3(3,2),oh3(3,3) * *----------------------------------------------------------------------- *The Pole and On-Shell Masses : Iterative method is needed *Try On-Shell mass which is the same as the Pole Masses at one-loop level, *by solving det{s^OS - Re[M^2(s=s^OS)]}=0 interatively where s^OS is real. *----------------------------------------------------------------------- DO I=1,3 DO J=1,3 OMIX_1(I,J)=0.D0 OMIX_2(I,J)=0.D0 OMIX_3(I,J)=0.D0 ENDDO ENDDO *>>>>> IF(IFLAG_H(12).EQ.1 .OR. . IFLAG_H(12).EQ.2 .OR. IFLAG_H(12).EQ.3) THEN *>>>>> * DO IH=1,3 MPOLE=EP3(IH) ! The effective potential masses * and mixing matrix at zero momentum transfer are used CALL GET_CMNH(MPOLE**2,MCH,MASQ,NFLAG,IFLAG_H . ,QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 . ,XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF . ,V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF . ,HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF . ,HT_CP,HB_CP,BARL1,BARL2,BARL34 . ,CMNH) * print*,'L1,L2,L34:',BARL1,BARL2,BARL34 * DO JH=1,3 CTMP3(IH,JH)=DCMPLX(0.D0,0.D0) DO IA1=1,3 DO IA2=1,3 CTMP3(IH,JH)=CTMP3(IH,JH) . +OMIX_0(IA1,IH)*CMNH(IA1,IA2)*OMIX_0(IA2,JH) ENDDO ENDDO * print*,'CTMP3(',IH,JH,') = ',ctmp3(ih,jh) ENDDO ! JH * IF(DREAL(CTMP3(IH,IH)).LE.0.D0) THEN * print*,'MHSQ(OLD) =',ctmp3(1,1),ctmp3(2,2),ctmp3(3,3) IFLAG_H(51)=1 RETURN ENDIF *......M^pole MPOLE=DSQRT( DREAL(CTMP3(IH,IH)) ) HP3(IH)=MPOLE ENDDO ! IH *.....Improving Pole masses DH23=DABS( EP3(3)**2 - EP3(2)**2 )/10.D0 IF(DH23.LT.CDABS(CTMP3(2,3)+CTMP3(3,2))) THEN * HSQ23 = (EP3(2)**2 + EP3(3)**2 )/2.D0 CALL GET_CMNH(HSQ23,MCH,MASQ,NFLAG,IFLAG_H . ,QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 . ,XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF . ,V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF . ,HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF . ,HT_CP,HB_CP,BARL1,BARL2,BARL34 . ,CMNH) * print*,'L1,L2,L34:',BARL1,BARL2,BARL34 DO IH=1,3 DO JH=1,3 CTMP3(IH,JH)=DCMPLX(0.D0,0.D0) DO IA1=1,3 DO IA2=1,3 CTMP3(IH,JH)=CTMP3(IH,JH) . +OMIX_0(IA1,IH)*CMNH(IA1,IA2)*OMIX_0(IA2,JH) ENDDO ENDDO ENDDO ! JH ENDDO ! IH CTR23 = CTMP3(2,2)+CTMP3(3,3) CDET23 = CTMP3(2,2)*CTMP3(3,3) - CTMP3(2,3)*CTMP3(3,2) CD23 = CTR23**2 - 4.D0*CDET23 HP3(2) = DSQRT( 0.5D0*DREAL( CTR23 - CDSQRT(CD23) ) ) HP3(3) = DSQRT( 0.5D0*DREAL( CTR23 + CDSQRT(CD23) ) ) IFLAG_H(53)=1 * * print*,'>> Improved Pole masses :' * print*,hp3(1) * print*,hp3(2) * print*,hp3(3) * ENDIF ! Improving Pole masses * *>>>>> ELSEIF (IFLAG_H(12).EQ.4 .OR. IFLAG_H(12).EQ.5) THEN *>>>>> ITRHP_MAX=200 DO IH=1,3 MPOLE=EP3(IH) ! Initially, the effective potential masses * and mixing matrix at zero momentum transfer are used * print*,'%-------- MPOLE_START = ',MPOLE DO ITRHP=1,ITRHP_MAX CALL GET_CMNH(MPOLE**2,MCH,MASQ,NFLAG,IFLAG_H . ,QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 . ,XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF . ,V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF . ,HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF . ,HT_CP,HB_CP,BARL1,BARL2,BARL34 . ,CMNH) * print*,'L1,L2,L34:',BARL1,BARL2,BARL34 DO I=1,3 DO J=1,3 NH3(I,J)=DREAL(CMNH(I,J)) DMH3(I,J)=-DREAL(CMNH(I,J)) IF(I.EQ.J) DMH3(I,J)=MPOLE**2+DMH3(I,J) ! s^OS - Re[M^2(s=s^OS)]} ENDDO ENDDO CALL DIAGRS(3,3,NH3,EV3,AUX3,IERR_DIAGRS) IF(EV3(IH).LE.0.D0) THEN * print*,'MHSQ(OS) =',ev3(1),ev3(2),ev3(3) IFLAG_H(51)=1 RETURN ENDIF IF(IERR_DIAGRS.GT.0) THEN * print*,'DIAGRS Error at sqrt(s) = ', MPOLE IFLAG_H(52)=1 RETURN ENDIF DET_DMH3=DMH3(1,1)*DMH3(2,2)*DMH3(3,3) . -DMH3(1,1)*DMH3(2,3)*DMH3(3,2) . -DMH3(2,1)*DMH3(1,2)*DMH3(3,3) . +DMH3(2,1)*DMH3(1,3)*DMH3(3,2) . +DMH3(3,1)*DMH3(1,2)*DMH3(2,3) . -DMH3(3,1)*DMH3(1,3)*DMH3(2,2) DMH_IH=MPOLE-DSQRT(EV3(IH)) *Monitoring Iterations... * print*,'IH = ',ih,' ITR = ',itrhp * . ,mpole,dsqrt(ev3(ih)),det_dmh3/mch**6,dmh_ih *Mpole and Omix(M^pole) if(itrhp.le.itrhp_max-150) then MPOLE=DSQRT(EV3(IH)) else ! to treat some oscillatory case mpole=(mpole+DSQRT(EV3(IH)))/2.d0 endif * DO I=1,3 DO J=1,3 IF(IH.EQ.1) OMIX_1(I,J)=NH3(I,J) IF(IH.EQ.2) OMIX_2(I,J)=NH3(I,J) IF(IH.EQ.3) OMIX_3(I,J)=NH3(I,J) ENDDO ENDDO *Exit iteration... IF(DABS(DET_DMH3/MCH**6).LT.1.D-6 .AND. . DABS(DMH_IH).LT.1.D-3) GOTO 88 IF(ITRHP.EQ.ITRHP_MAX) THEN IFLAG_H(60)=1 * print*,'ITERATION for the on-shell Higgs masses FAILS !' RETURN ENDIF * ENDDO ! ITRHP 88 HP3(IH)=MPOLE ENDDO ! IH * *>>>>> ELSE * print*,'Invalid IFLAG_H(12)' RETURN *>>>>> ENDIF ! IFLAG_H(12) *>>>>> *----------------------------------------------------------------------- *Effective-Potential Mass or Pole mass?? *----------------------------------------------------------------------- *>>>>> IF(IFLAG_H(11).EQ.1) THEN *>>>>> HMASS(1)=EP3(1) HMASS(2)=EP3(2) HMASS(3)=EP3(3) CALL GET_MASQ(0.D0,MCH,NFLAG,IFLAG_H . ,QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 . ,XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF . ,V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF . ,HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF . ,HT_CP,HB_CP . ,MASQ_0,REPI22_0,BL4VSQ_0,BARL4_0) *-The inverse of propagator s-M_0^2+Pi^hat(s) with the tree-leve mass M_0 *-The effective potential mass M_eff^2 = M_0^2-Real[Pi^hat(0)] *-The pole mass M_pole^2 = M_0^2-Real[Pi^hat(M_pole^2)] *-Threfore we have M_eff^2 = M_pole^2+Real[Pi^hat(M_pole^2)-Pi-hat(0)] MCHSQ_EP=MCH**2+REPI22_P-REPI22_0 MCH_OUT =DSQRT(MCHSQ_EP) DO IH=1,3 DO JH=1,3 OMIX_OUT(IH,JH)=OMIX_0(IH,JH) ENDDO ENDDO *>>>>> ELSEIF(IFLAG_H(11).EQ.0) THEN *Pole Masses for the neutral and charged Higgs bosons *>>>>> *.....Reordering of HP(3) and OMIX_0 .............................. IF(HP3(1)-HP3(2).GT.0.D0 .OR. . HP3(2)-HP3(3).GT.0.D0 .OR. . HP3(1)-HP3(3).GT.0.D0) THEN * IH_MIN=1 DO IH=1,3 IF(HP3(IH).LT.HP3(IH_MIN)) IH_MIN=IH ENDDO * IH_MAX=3 DO IH=1,3 IF(HP3(IH).GT.HP3(IH_MAX)) IH_MAX=IH ENDDO * IH_MID=6-IH_MIN-IH_MAX * print*,'>>>> NEW Reordering...',HP3(1),HP3(2),HP3(3),' --> ' * . ,IH_MIN,IH_MID,IH_MAX * DO IH=1,3 HP3_TMP(IH)=HP3(IH) DO IA=1,3 OMIX_TMP(IA,IH)=OMIX_0(IA,IH) ENDDO ENDDO * HP3(1)=HP3_TMP(IH_MIN) HP3(2)=HP3_TMP(IH_MID) HP3(3)=HP3_TMP(IH_MAX) DO IA=1,3 OMIX_0(IA,1)=OMIX_TMP(IA,IH_MIN) OMIX_0(IA,2)=OMIX_TMP(IA,IH_MID) OMIX_0(IA,3)=OMIX_TMP(IA,IH_MAX) ENDDO * ENDIF *.....End of Reordering............................................. HMASS(1)=HP3(1) HMASS(2)=HP3(2) HMASS(3)=HP3(3) MCH_OUT =MCH DO IH=1,3 DO JH=1,3 OMIX_OUT(IH,JH)=OMIX_0(IH,JH) ENDDO ENDDO ELSE WRITE(6,*) 'INVALID OPTION OF IFLAG(11)' RETURN ENDIF *Fill some HC_AUX COMMON Blocks with MCH_OUT RAUX_H(10)=MCH_OUT * print*,'RAUX_H[10]',mch_out *----------------------------------------------------------------------- *Print results *----------------------------------------------------------------------- IF(IFLAG_H(2).EQ.1) . CALL DUMP_HIGGS(NFLAG,IFLAG_H,MCH_OUT,HMASS,OMIX_OUT) ************************************************************************ RETURN END SUBROUTINE GET_MASQ(SPRO,MCH,NFLAG,IFLAG_H . ,QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 . ,XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF . ,V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF . ,HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF . ,HT_CP,HB_CP . ,MASQ,REPI22,BL4VSQ,BARL4) ************************************************************************ * * RG-improved MASQ: mass squared of the would-be CP-odd scalar at m_t-pole * * M_A^2 = MCH^pole - lambda4/2 v^2 + Re [Pi-hat(s=MCH^pole^2,mtpole)] * [Eq.(3.8) of NPB625(2002)345] * * MASQ = MCH^2 - BARL4/2*V^2 + Re[CPICH(H^+,H^-)] * = MCH^2 - BARL4/2*V^2 - Re[CMCH_1L(H^+,H^-)] * where * CMCH_1L(H^+,H^-)=CMCH_1L(1,1)*SB^2-[CMCH_1L(1,2)+CMCH_1L(2,1)]*CB*SB * +CMCH_1L(2,2)*CB^2 at mtpole and * CMCH_1L(I,J) = -CM0_1L(I,J)-CPI_SQ(I,J)-CPI_Q(I,J) is a 2X2 charged * Higgs-boson mass matrix in (phi_1^pm,phi_2^pm0) basis dropping the two-loop * Born-improved term at the scale m_t-pole * * CM0_1L : One-loop part of tree-level-form mass matrix at the scale Q_tb * after multiplying anomalous dim. factors XI_I and XI_J * given by Eq. (2.9) * CPI_SQ : Squark contributions to the self energy at Q_tb * after multiplying anomalous dim. factors XI_I and XI_J * CPI_Q : Quark contributions to the self energy at m_t * * For explict forms, see (B.12), (B.13), (B.15), and (B.16)(d) of * NPB625(2002)345 * *---> SPRO,MCH ! S and Charged Higgs-boson pole mass *---> QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 ! sfermion scales *---> XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF ! anomalous dimensions * : ST=Stop mass scale * : SB=Sbottom mass scale * : SF=Sfermion mass scale *---> V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF ! vevs * : V1, V2 at Mtpole *---> HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF ! Yukawa couplings * : HT , HB at Mtpole without threshold corrections * : HT_MT, HB_MT at Mtpole with threshold corrections *---> HT_CP,HB_CP ! CP phases of Yukawa couplings * : HT_X(complex)=HT_X*HT_CP with X=none, MT, ST, SF * : HB_X(complex)=HB_X*HB_CP with X=none, MT, SB, SF ************************************************************************ IMPLICIT REAL*8(A-H,M,O-Z) * INTEGER*8 IFLAG_H(NFLAG) *----------------------------------------------------------------------- *+CDE HC_ COMMON BLOCKS: COMMON /HC_SMPARA/ AEM_H,ASMZ_H,MZ_H,SW_H,ME_H,MMU_H,MTAU_H,MDMT_H . ,MSMT_H,MBMT_H,MUMT_H,MCMT_H,MTPOLE_H,GAMW_H . ,GAMZ_H,EEM_H,ASMT_H,CW_H,TW_H,MW_H,GW_H,GP_H . ,V_H,GF_H,MTMT_H * COMMON /HC_RSUSYPARA/ TB_H,CB_H,SB_H,MQ3_H,MU3_H,MD3_H,ML3_H,ME3_H * COMPLEX*16 MU_H,M1_H,M2_H,M3_H,AT_H,AB_H,ATAU_H COMMON /HC_CSUSYPARA/ MU_H,M1_H,M2_H,M3_H,AT_H,AB_H,ATAU_H *----------------------------------------------------------------------- *Local COMPLEX*16 HT_CP,HB_CP COMPLEX*16 DELTA(2,2),UT3(2,2),UB3(2,2) COMPLEX*16 CF1TT(2,2),CF2TT(2,2),CF1BB(2,2),CF2BB(2,2),CA1TT(2,2), . CA2TT(2,2),CA1BB(2,2),CA2BB(2,2),CP1TB(2,2),CP2TB(2,2), . CPP1TT(2,2),CPP2TT(2,2),CPP1BB(2,2),CPP2BB(2,2) COMPLEX*16 CHTR,CHBR,CXI COMPLEX*16 C0U,C1UB,C1UT,C2U COMPLEX*16 CTB11A,CTB11B,CTB11C,CTAD11 COMPLEX*16 CTB12A,CTB12B,CTB12C,CTAD12 COMPLEX*16 CTB21A,CTB21B,CTB21C,CTAD21 COMPLEX*16 CTB22A,CTB22B,CTB22C,CTAD22 COMPLEX*16 CB0_H COMPLEX*16 CM0_1L(2,2),CPI_SQ(2,2),CPI_Q(2,2),CMCH_1L(2,2) COMPLEX*16 CMCH22,CPICH22 * PI=2.D0*DASIN(1.D0) CXI=DCMPLX(0.D0,1.D0) * ************************************************************************ S=SPRO *at top-quark pole mass scale GS2 =4.D0*PI*ASMT_H *------------------------------------------------------------------------- *BARL4 at mtpole * Eq.(3.6) NPB586(2000)92 IF(IFLAG_H(12).EQ.3 .OR. IFLAG_H(12).EQ.5) THEN HBX=HB_MT HTX=HT_MT ELSE HBX=HB HTX=HT ENDIF * X1L4=3.D0/(16.D0*PI**2)*( HTX**2*HBX**2*(DLOG(QQT2/MTPOLE_H**2) . +DLOG(DMAX1(QTT2,QBB2)/MTPOLE_H**2)) . -GW_H**2/2.D0*(HTX**2-GW_H**2/4.D0) . *DLOG(QQT2/MTPOLE_H**2)-GW_H**2/2.D0 . *(HBX**2-GW_H**2/4.D0)*DLOG(QQB2/MTPOLE_H**2) ) *Threshold corrections have NOT included in two-loop couplings * Eqs.(3.11) and (3.12) NPB586(2000)92 X2L4=3.D0*HB**2*HT**2/(16.D0*PI**2)**2*(HT**2+HB**2-8.D0*GS2) .*( (DLOG(QQT2/MTPOLE_H**2))**2 . +(DLOG(DMAX1(QTT2,QBB2)/MTPOLE_H**2))**2 ) * *.....Computation of the chargino and neutrlino contributions to the *.....couplings \lambda_1, \lambda_2, \lambda_{34} = \lambda_3+\lambda_4, *.....and \lambda_4: XINO1, XINO2, XINO34, XINO4 *.....In this determination the formulas in Appendix C of H.E. Haber and *.....R. Hempfling, Phys. Rev. D48 (1993) 4280, are used. * TWINO=0.D0 THINO=0.D0 TCHI1=0.D0 TCHI2=0.D0 TCHI12=0.D0 * IF( QSF2.GT.CDABS(M2_H)**2 ) THEN TWINO=-DLOG( QSF2/CDABS(M2_H)**2 ) IF(MTPOLE_H.GT.CDABS(M2_H)) TWINO=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * IF( QSF2.GT.CDABS(MU_H)**2 ) THEN THINO=-DLOG( QSF2/CDABS(MU_H)**2 ) IF(MTPOLE_H.GT.CDABS(MU_H)) THINO=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * IF( QSF2.GT.DMAX1(CDABS(MU_H)**2,CDABS(M1_H)**2) ) THEN TCHI1=-DLOG( QSF2/DMAX1(CDABS(MU_H)**2,CDABS(M1_H)**2) ) IF(MTPOLE_H.GT.DMAX1(CDABS(MU_H),CDABS(M1_H))) . TCHI1=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * IF( QSF2.GT.DMAX1(CDABS(MU_H)**2,CDABS(M2_H)**2) ) THEN TCHI2=-DLOG( QSF2/ DMAX1(CDABS(MU_H)**2,CDABS(M2_H)**2) ) IF(MTPOLE_H.GT.DMAX1(CDABS(MU_H),CDABS(M1_H))) . TCHI2=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * IF( DSQRT(QSF2).GT. . DMAX1(CDABS(MU_H),DMAX1(CDABS(M1_H),CDABS(M2_H))) ) THEN TCHI12=-2.D0*DLOG(DSQRT(QSF2) . /DMAX1(CDABS(MU_H),DMAX1(CDABS(M1_H),CDABS(M2_H))) ) IF( MTPOLE_H.GT. . DMAX1(CDABS(MU_H),DMAX1(CDABS(M1_H),CDABS(M2_H))) ) . TCHI12=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * XINO4=GW_H**4/(192.D0*PI**2)*( . 6.D0*SW_H**2/CW_H**2*TCHI1 + 24.D0*SW_H**2/CW_H**2*TCHI12 .-6.D0*TCHI2 - 4.D0*THINO - 8.D0*TWINO ) * BARL4 = GW_H**2/2.D0 + X1L4 + X2L4 + XINO4 * *------------------------------------------------------------------------- *CM0_1L at Q_tb and including running from Q_tb to mtpole * * Eq.(3.6) NPB586(2000)92 X1L4Q=3.D0/(16.D0*PI**2)*( HT_SF**2*HB_SF**2*(DLOG(QQT2/QSF2) . +DLOG(DMAX1(QTT2,QBB2)/QSF2)) . -GW_H**2/2.D0*(HT_SF**2-GW_H**2/4.D0) . *DLOG(QQT2/QSF2)-GW_H**2/2.D0 . *(HB_SF**2-GW_H**2/4.D0)*DLOG(QQB2/QSF2) ) * Eq.(3.7) NPB586(2000)92 XRM12Q=3.D0/(16.D0*PI**2) .*(HT_SF**2*DREAL(MU_H*AT_H)*DLOG(QST2/QSF2) . +HB_SF**2*DREAL(MU_H*AB_H)*DLOG(QSB2/QSF2) ) * Eq.(2.8) NPB586(2000)92 TANB_SF=V2_SF/V1_SF FAC_CM0=X1L4Q*V1_SF*V2_SF/2.D0+XRM12Q CM0_1L(1,1)=DCMPLX(FAC_CM0*TANB_SF,0.D0)/XI1_SF/XI1_SF CM0_1L(1,2)=DCMPLX(-FAC_CM0 ,0.D0)/XI1_SF/XI2_SF CM0_1L(2,1)=DCMPLX(-FAC_CM0 ,0.D0)/XI2_SF/XI1_SF CM0_1L(2,2)=DCMPLX(FAC_CM0/TANB_SF,0.D0)/XI2_SF/XI2_SF * print*,DCMPLX(FAC_CM0*TANB_SF,0.D0),XI1_SF,XI1_SF * print*,DCMPLX(-FAC_CM0 ,0.D0),XI1_SF,XI2_SF * print*,DCMPLX(-FAC_CM0 ,0.D0),XI2_SF,XI1_SF * print*,DCMPLX(FAC_CM0/TANB_SF,0.D0),XI2_SF,XI2_SF * print*,'>> GET_MASQ 2 <<',XRM12Q *------------------------------------------------------------------------- *CPI_Q at mtpole One-loop t- and b- contributions to the charged Higgs-boson *mass matrix in the weak basis (\phi+_1,\phi+_2): * [Eq.(B.15) + diag(T_\phi_i(e)/v_i) of Eq.(B.16)] in NPB625(2002)345 * *The relation A0(m**2)=m**2[1+B0_H(0,m**2,m**2)] has been used. * *For the quark masses inside the loop, we use top-quark pole mass for *the top-quark case and m_b(m_t) for the b-quark case are used. *The mixed uses of the t'Hooft scale [m_t-pole or m_t(m_t^pole)] will be *clarified later <-- ERROR ?? * *See also CPI_Q in GET_CMNH * IF(IFLAG_H(12).EQ.2 .OR. IFLAG_H(12).EQ.5) THEN HBX=HB_MT HTX=HT_MT ELSE HBX=HB HTX=HT ENDIF * CPI_Q(1,1) =-3.D0/(16.D0*PI**2)*HBX**2 .*( MTMT_H**2 . +MTMT_H**2*B0_H(0.D0,MTPOLE_H**2,MTPOLE_H**2,MTPOLE_H**2) . -MBMT_H**2 . -MBMT_H**2*B0_H(0.D0,MBMT_H**2,MBMT_H**2,MTPOLE_H**2) . -(S-MTMT_H**2-MBMT_H**2) . *CB0_H(S,MBMT_H**2,MTPOLE_H**2,MTPOLE_H**2)) CPI_Q(1,2) = 3.D0/(8.D0*PI**2)*HBX*HTX*MTMT_H*MBMT_H . *CB0_H(S,MBMT_H**2,MTMT_H**2,MTMT_H**2) CPI_Q(2,1) = CPI_Q(1,2) CPI_Q(2,2) =-3.D0/(16.D0*PI**2)*HTX**2 .*(-MTMT_H**2 . -MTMT_H**2*B0_H(0.D0,MTPOLE_H**2,MTPOLE_H**2,MTPOLE_H**2) . +MBMT_H**2 . +MBMT_H**2*B0_H(0.D0,MBMT_H**2,MBMT_H**2,MTPOLE_H**2) . -(S-MTMT_H**2-MBMT_H**2) . *CB0_H(S,MBMT_H**2,MTMT_H**2,MTMT_H**2)) *------------------------------------------------------------------------- *CPI_SQ at Q_tb and running from Q_tb to mtpole *.....One-loop ~t-, ~b- contributions to the charged Higgs-boson *.....mass matrix in the weak basis (\phi+_1,\phi+_2): *SQURK masses squared and the mixing matrices UT3 and UB3 at SF scale: * Eq.(B.10) NPB625(2002)345 *UT3 = Ut \tau_3 (Ut)dagger ; UB3 = Ub \tau_3 (Ub)dagger GWY2=GW_H**2/8.D0/CW_H**2 GXT2=(GW_H**2-5.D0*GW_H**2*SW_H**2/CW_H**2/3.D0)/4.D0 GXB2=(GW_H**2-GW_H**2*SW_H**2/CW_H**2/3.D0)/4.D0 SUM_ST=MQ3_H**2+MU3_H**2+HT_SF**2*V2_SF**2 . +GWY2*(V1_SF**2-V2_SF**2) DIF_ST2=(MQ3_H**2-MU3_H**2 . +GXT2*(V1_SF**2-V2_SF**2)/2.D0)**2 . +2.D0*HT_SF**2*CDABS(DCONJG(AT_H)*V2_SF-MU_H*V1_SF)**2 MSQ_ST2=(SUM_ST+DSQRT(DIF_ST2))/2.D0 MSQ_ST1=(SUM_ST-DSQRT(DIF_ST2))/2.D0 SUM_SB=MQ3_H**2+MD3_H**2+HB_SF**2*V1_SF**2 . +GWY2*(V2_SF**2-V1_SF**2) DIF_SB2=(MQ3_H**2-MD3_H**2 . +GXB2*(V2_SF**2-V1_SF**2)/2.D0)**2 . +2.D0*HB_SF**2*CDABS(DCONJG(AB_H)*V1_SF-MU_H*V2_SF)**2 MSQ_SB2=(SUM_SB+DSQRT(DIF_SB2))/2.D0 MSQ_SB1=(SUM_SB-DSQRT(DIF_SB2))/2.D0 IF(MSQ_ST1.LT.0.D0.OR.MSQ_ST2.LT.0.D0.OR. . MSQ_SB1.LT.0.D0.OR.MSQ_SB2.LT.0.D0) THEN IFLAG_H(50)=1 RETURN ENDIF UT3(1,1)=(MQ3_H**2-MU3_H**2 . +GXT2*(V1_SF**2-V2_SF**2)/2.D0)/(MSQ_ST2-MSQ_ST1) UT3(2,1)=DSQRT(2.D0)*HT_SF*HT_CP*(AT_H*V2_SF-DCONJG(MU_H)*V1_SF) . /(MSQ_ST2-MSQ_ST1) UT3(1,2)=DCONJG( UT3(2,1) ) UT3(2,2)=-UT3(1,1) UB3(1,1)=(MQ3_H**2-MD3_H**2 . -GXB2*(V1_SF**2-V2_SF**2)/2.D0)/(MSQ_SB2-MSQ_SB1) UB3(2,1)=DSQRT(2.D0)*HB_SF*HB_CP*(AB_H*V1_SF-DCONJG(MU_H)*V2_SF) . /(MSQ_SB2-MSQ_SB1) UB3(1,2)=DCONJG( UB3(2,1) ) UB3(2,2)=-UB3(1,1) * * print*,'>> GET_MASQ 4 <<',MSQ_ST2,MSQ_ST1,MSQ_SB2,MSQ_SB1 * print*,'>> GET_MASQ 5 <<',UT3(1,1),UT3(1,2),UT3(2,2) * print*,'>> GET_MASQ 6 <<',UB3(1,1),UB3(1,2),UB3(2,2) *Here charged Higgs-SQURK-SQUARK couplings : CHTR = HT_SF*HT_CP CHBR = HB_SF*HB_CP V1RT = V1_SF V2RT = V2_SF V1RB = V1_SF V2RB = V2_SF * The complex Yukawa couplings with threhsold corrections should be used ?: *=>One can show that the phases of the resummed h_t and h_b in *=>the squark sector can be entirely absorbed to the right-handed stops and *=>sbottoms. This property applies to (A.1)[or (B.10) : See UT3(2,1) and *=>UB3(2,1)], (A.5) and (A.7). Notice that in (A.1) the quark masses are *=>not the physical masses, but the resummed h_tand h_b \times v_2/sqrt(2) *=>and v_1/sqrt(2), respectively. * *=>We have checked this rephasing invariance by comparing the old version of *=>CPsuperH in which only the absolute values of the Yukawa couplings are used *=>and the current version considering the full complex Yukawa couplings. *--->Start * Gamma{\phi_1 ~t* ~t}: CF1TT(2,2) * CF1TT(1,1)=-V1RT*(GW_H**2-GP_H**2/3.D0)/4.D0 CF1TT(1,2)=DCONJG(CHTR)*MU_H/DSQRT(2.D0) CF1TT(2,1)=DCONJG( CF1TT(1,2) ) CF1TT(2,2)=-V1RT*GP_H**2/3.D0 * Gamma{\phi_2 ~t* ~t}: CF2TT(2,2) * CF2TT(1,1)=-CDABS(CHTR)**2*V2RT+V2RT*(GW_H**2-GP_H**2/3.D0)/4.D0 CF2TT(1,2)=-DCONJG(CHTR*AT_H)/DSQRT(2.D0) CF2TT(2,1)=DCONJG( CF2TT(1,2) ) CF2TT(2,2)=-CDABS(CHTR)**2*V2RT+V2RT*GP_H**2/3.D0 * Gamma{\phi_1 ~b* ~b}: CF1BB(2,2) * CF1BB(1,1)=-CDABS(CHBR)**2*V1RB+V1RB*(GW_H**2+GP_H**2/3.D0)/4.D0 CF1BB(1,2)=-DCONJG(CHBR*AB_H)/DSQRT(2.D0) CF1BB(2,1)=DCONJG( CF1BB(1,2) ) CF1BB(2,2)=-CDABS(CHBR)**2*V1RB+V1RB*GP_H**2/6.D0 * Gamma{\phi_2 ~b* ~b}: CF2BB(2,2) * CF2BB(1,1)=-V2RB*(GW_H**2+GP_H**2/3.D0)/4.D0 CF2BB(1,2)=DCONJG(CHBR)*MU_H/DSQRT(2.D0) CF2BB(2,1)=DCONJG( CF2BB(1,2) ) CF2BB(2,2)=-V2RB*GP_H**2/6.D0 * Gamma{a_1 ~t* ~t}: CA1TT(2,2) * CA1TT(1,1)=0.D0 CA1TT(1,2)=-CXI*DCONJG(CHTR)/DSQRT(2.D0) * MU_H CA1TT(2,1)=DCONJG( CA1TT(1,2) ) CA1TT(2,2)=0.D0 * Gamma{a_2 ~t* ~t}: CA2TT(2,2) * CA2TT(1,1)=0.D0 CA2TT(1,2)=CXI*DCONJG(CHTR)/DSQRT(2.D0) * DCONJG(AT_H) CA2TT(2,1)=DCONJG( CA2TT(1,2) ) CA2TT(2,2)=0.D0 * Gamma{a_1 ~b* ~b}: CA1BB(2,2) * CA1BB(1,1)=0.D0 CA1BB(1,2)=-CXI*DCONJG(CHBR)/DSQRT(2.D0) * DCONJG(AB_H) CA1BB(2,1)=DCONJG( CA1BB(1,2) ) CA1BB(2,2)=0.D0 * Gamma{a_2 ~b* ~b}: CA2BB(2,2) * CA2BB(1,1)=0.D0 CA2BB(1,2)=CXI*DCONJG(CHBR)/DSQRT(2.D0) * MU_H CA2BB(2,1)=DCONJG( CA2BB(1,2) ) CA2BB(2,2)=0.D0 * Gamma{\phi+_1 ~t* ~b}: CP1TB(2,2) * CP1TB(1,1)=-V1_SF*(HB_SF**2-GW_H**2/2.D0)/DSQRT(2.D0) CP1TB(1,2)=-DCONJG(HB_SF*HB_CP*AB_H) CP1TB(2,1)=-HT_SF*HT_CP*DCONJG(MU_H) CP1TB(2,2)=-HT_SF*HT_CP*DCONJG(HB_SF*HB_CP)*V2_SF/DSQRT(2.D0) * Gamma{\phi+_2 ~t* ~b}: CP2TB(2,2) * CP2TB(1,1)=V2_SF*(HT_SF**2-GW_H**2/2.D0)/DSQRT(2.D0) CP2TB(1,2)=DCONJG(HB_SF*HB_CP)*MU_H CP2TB(2,1)=HT_SF*HT_CP*AT_H CP2TB(2,2)=HT_SF*HT_CP*DCONJG(HB_SF*HB_CP)*V1_SF/DSQRT(2.D0) * Gamma{\phi+_1 \phi+_1 ~t* ~t}: CPP1TT(2,2) * CPP1TT(1,1)=-HB_SF**2+(GW_H**2+GP_H**2/3.D0)/4.D0 CPP1TT(1,2)=0.D0 CPP1TT(2,1)=0.D0 CPP1TT(2,2)=-GP_H**2/3.D0 * Gamma{\phi+_2 \phi+_2 ~t* ~t}: CPP2TT(2,2) * CPP2TT(1,1)=-(GW_H**2+GP_H**2/3.D0)/4.D0 CPP2TT(1,2)=0.D0 CPP2TT(2,1)=0.D0 CPP2TT(2,2)=-HT_SF**2+GP_H**2/3.D0 * Gamma{\phi+_1 \phi+_1 ~b* ~b}: CPP1BB(2,2) * CPP1BB(1,1)=-(GW_H**2-GP_H**2/3.D0)/4.D0 CPP1BB(1,2)=0.D0 CPP1BB(2,1)=0.D0 CPP1BB(2,2)=-HB_SF**2+GP_H**2/6.D0 * Gamma{\phi+_2 \phi+_2 ~b* ~b}: CPP2BB(2,2) * CPP2BB(1,1)=-HT_SF**2+(GW_H**2-GP_H**2/3.D0)/4.D0 CPP2BB(1,2)=0.D0 CPP2BB(2,1)=0.D0 CPP2BB(2,2)=-GP_H**2/6.D0 *-->EOF *Some constatnt for CTB..(A,B,C) C0U =CB0_H(S,MSQ_ST1,MSQ_SB1,QSF2)+CB0_H(S,MSQ_ST2,MSQ_SB2,QSF2) . +CB0_H(S,MSQ_ST1,MSQ_SB2,QSF2)+CB0_H(S,MSQ_ST2,MSQ_SB1,QSF2) C1UB=-CB0_H(S,MSQ_ST1,MSQ_SB1,QSF2)+CB0_H(S,MSQ_ST2,MSQ_SB2,QSF2) . +CB0_H(S,MSQ_ST1,MSQ_SB2,QSF2)-CB0_H(S,MSQ_ST2,MSQ_SB1,QSF2) C1UT=-CB0_H(S,MSQ_ST1,MSQ_SB1,QSF2)+CB0_H(S,MSQ_ST2,MSQ_SB2,QSF2) . -CB0_H(S,MSQ_ST1,MSQ_SB2,QSF2)+CB0_H(S,MSQ_ST2,MSQ_SB1,QSF2) C2U =CB0_H(S,MSQ_ST1,MSQ_SB1,QSF2)+CB0_H(S,MSQ_ST2,MSQ_SB2,QSF2) . -CB0_H(S,MSQ_ST1,MSQ_SB2,QSF2)-CB0_H(S,MSQ_ST2,MSQ_SB1,QSF2) * print*,'B functions : ',c0u,c1ub,c1ut,c2u *CTB..A : The 1st part of Eq.(B.12) NPB625(2002)345 CTB11A=DCMPLX(0.D0,0D0) CTB12A=DCMPLX(0.D0,0D0) CTB21A=DCMPLX(0.D0,0D0) CTB22A=DCMPLX(0.D0,0D0) DO I=1,2 DO J=1,2 CTB11A= 3.D0/(64.D0*PI**2)*C0U . *CP1TB(I,J)*DCONJG(CP1TB(I,J))+CTB11A CTB12A= 3.D0/(64.D0*PI**2)*C0U . *CP1TB(I,J)*DCONJG(CP2TB(I,J))+CTB12A CTB21A= 3.D0/(64.D0*PI**2)*C0U . *CP2TB(I,J)*DCONJG(CP1TB(I,J))+CTB21A CTB22A= 3.D0/(64.D0*PI**2)*C0U . *CP2TB(I,J)*DCONJG(CP2TB(I,J))+CTB22A ENDDO ENDDO * print*,'>> GET_MASQ 7 <<',CTB11A * print*,'>> GET_MASQ 7 <<',CTB12A * print*,'>> GET_MASQ 7 <<',CTB21A * print*,'>> GET_MASQ 7 <<',CTB22A *CTB..B : The 2nd and 3rd parts of Eq.(B.12) NPB625(2002)345 CTB11B=DCMPLX(0.D0,0D0) CTB12B=DCMPLX(0.D0,0D0) CTB21B=DCMPLX(0.D0,0D0) CTB22B=DCMPLX(0.D0,0D0) DO I=1,2 DO J=1,2 DO K=1,2 CTB11B= 3.D0/(64.D0*PI**2) . *(C1UB*CP1TB(I,J)*UB3(J,K)*DCONJG(CP1TB(I,K)) . +C1UT*UT3(I,J)*CP1TB(J,K)*DCONJG(CP1TB(I,K)))+CTB11B CTB12B= 3.D0/(64.D0*PI**2) . *(C1UB*CP1TB(I,J)*UB3(J,K)*DCONJG(CP2TB(I,K)) . +C1UT*UT3(I,J)*CP1TB(J,K)*DCONJG(CP2TB(I,K)))+CTB12B CTB21B= 3.D0/(64.D0*PI**2) . *(C1UB*CP2TB(I,J)*UB3(J,K)*DCONJG(CP1TB(I,K)) . +C1UT*UT3(I,J)*CP2TB(J,K)*DCONJG(CP1TB(I,K)))+CTB21B CTB22B= 3.D0/(64.D0*PI**2) . *(C1UB*CP2TB(I,J)*UB3(J,K)*DCONJG(CP2TB(I,K)) . +C1UT*UT3(I,J)*CP2TB(J,K)*DCONJG(CP2TB(I,K)))+CTB22B ENDDO ENDDO ENDDO * print*,'>> GET_MASQ 8 <<',CTB11B * print*,'>> GET_MASQ 8 <<',CTB12B * print*,'>> GET_MASQ 8 <<',CTB21B * print*,'>> GET_MASQ 8 <<',CTB22B *CTB..C : The 4th part of Eq.(B.12) NPB625(2002)345 CTB11C=DCMPLX(0.D0,0D0) CTB12C=DCMPLX(0.D0,0D0) CTB21C=DCMPLX(0.D0,0D0) CTB22C=DCMPLX(0.D0,0D0) DO I=1,2 DO J=1,2 DO K=1,2 DO L=1,2 CTB11C= 3.D0/(64.D0*PI**2)*C2U . *UT3(I,J)*CP1TB(J,K)*UB3(K,L)*DCONJG(CP1TB(I,L))+CTB11C CTB12C= 3.D0/(64.D0*PI**2)*C2U . *UT3(I,J)*CP1TB(J,K)*UB3(K,L)*DCONJG(CP2TB(I,L))+CTB12C CTB21C= 3.D0/(64.D0*PI**2)*C2U . *UT3(I,J)*CP2TB(J,K)*UB3(K,L)*DCONJG(CP1TB(I,L))+CTB21C CTB22C= 3.D0/(64.D0*PI**2)*C2U . *UT3(I,J)*CP2TB(J,K)*UB3(K,L)*DCONJG(CP2TB(I,L))+CTB22C ENDDO ENDDO ENDDO ENDDO * print*,'>> GET_MASQ 9 <<',CTB11C * print*,'>> GET_MASQ 9 <<',CTB12C * print*,'>> GET_MASQ 9 <<',CTB21C * print*,'>> GET_MASQ 9 <<',CTB22C *CTAD.. : tadpoles including seagull graphs *Eq.(B.13) and T^(d) in (B.16) NPB625(2002)345. Also see Eq.(2.5) DELTA(1,1)=1.D0 DELTA(1,2)=0.D0 DELTA(2,1)=0.D0 DELTA(2,2)=1.D0 * CTAD11=DCMPLX(0.D0,0D0) CTAD12=DCMPLX(0.D0,0D0) CTAD21=DCMPLX(0.D0,0D0) CTAD22=DCMPLX(0.D0,0D0) DO I=1,2 DO J=1,2 CTAD11 = 3.D0/(32.D0*PI**2*V1_SF) . *(A0_H(MSQ_ST2,QSF2)+A0_H(MSQ_ST1,QSF2)) . *(CF1TT(I,J)-V1_SF*CPP1TT(I,J))*DELTA(J,I) . +3.D0/(32.D0*PI**2*V1_SF) . *(A0_H(MSQ_ST2,QSF2)-A0_H(MSQ_ST1,QSF2)) . *UT3(I,J)*(CF1TT(J,I)-V1_SF*CPP1TT(J,I)) . +3.D0/(32.D0*PI**2*V1_SF) . *(A0_H(MSQ_SB2,QSF2)+A0_H(MSQ_SB1,QSF2)) . *(CF1BB(I,J)-V1_SF*CPP1BB(I,J))*DELTA(J,I) . +3.D0/(32.D0*PI**2*V1_SF) . *(A0_H(MSQ_SB2,QSF2)-A0_H(MSQ_SB1,QSF2)) . *UB3(I,J)*(CF1BB(J,I)-V1_SF*CPP1BB(J,I)) . + CTAD11 CTAD22 = 3.D0/(32.D0*PI**2*V2_SF) . *(A0_H(MSQ_ST2,QSF2)+A0_H(MSQ_ST1,QSF2)) . *(CF2TT(I,J)-V2_SF*CPP2TT(I,J))*DELTA(J,I) . +3.D0/(32.D0*PI**2*V2_SF) . *(A0_H(MSQ_ST2,QSF2)-A0_H(MSQ_ST1,QSF2)) . *UT3(I,J)*(CF2TT(J,I)-V2_SF*CPP2TT(J,I)) . +3.D0/(32.D0*PI**2*V2_SF) . *(A0_H(MSQ_SB2,QSF2)+A0_H(MSQ_SB1,QSF2)) . *(CF2BB(I,J)-V2_SF*CPP2BB(I,J))*DELTA(J,I) . +3.D0/(32.D0*PI**2*V2_SF) . *(A0_H(MSQ_SB2,QSF2)-A0_H(MSQ_SB1,QSF2)) . *UB3(I,J)*(CF2BB(J,I)-V2_SF*CPP2BB(J,I)) . + CTAD22 CTAD21 = DCMPLX(0.D0,3.D0)/(32.D0*PI**2*V2_SF) ! iT_a1/v2 . *(A0_H(MSQ_ST2,QSF2)-A0_H(MSQ_ST1,QSF2)) . *UT3(I,J)*CA1TT(J,I) . +DCMPLX(0.D0,3.D0)/(32.D0*PI**2*V2_SF) . *(A0_H(MSQ_SB2,QSF2)-A0_H(MSQ_SB1,QSF2)) . *UB3(I,J)*CA1BB(J,I) . + CTAD21 CTAD12 = DCMPLX(0.D0,3.D0)/(32.D0*PI**2*V1_SF) ! iT_a2/v1 . *(A0_H(MSQ_ST2,QSF2)-A0_H(MSQ_ST1,QSF2)) . *UT3(I,J)*CA2TT(J,I) . +DCMPLX(0.D0,3.D0)/(32.D0*PI**2*V1_SF) . *(A0_H(MSQ_SB2,QSF2)-A0_H(MSQ_SB1,QSF2)) . *UB3(I,J)*CA2BB(J,I) . + CTAD12 ENDDO ENDDO * print*,'>> GET_MASQ 10 <<',CTAD11 * print*,'>> GET_MASQ 10 <<',CTAD12 * print*,'>> GET_MASQ 10 <<',CTAD21 * print*,'>> GET_MASQ 10 <<',CTAD22 CPI_SQ(1,1)=(CTB11A+CTB11B+CTB11C+CTAD11)/XI1_SF/XI1_SF CPI_SQ(1,2)=(CTB12A+CTB12B+CTB12C+CTAD12)/XI1_SF/XI2_SF CPI_SQ(2,1)=(CTB21A+CTB21B+CTB21C+CTAD21)/XI2_SF/XI1_SF CPI_SQ(2,2)=(CTB22A+CTB22B+CTB22C+CTAD22)/XI2_SF/XI2_SF * print*,CTB11A,CTB11B,CTB11C,CTAD11,XI1_SF,XI1_SF * print*,CTB12A,CTB12B,CTB12C,CTAD12,XI1_SF,XI2_SF * print*,CTB21A,CTB21B,CTB21C,CTAD21,XI2_SF,XI1_SF * print*,CTB22A,CTB22B,CTB22C,CTAD22,XI2_SF,XI2_SF * *------------------------------------------------------------------------- * CMCH_1L(I,J) = -CM0_1L(I,J)-CPI_SQ(I,J)-CPI_Q(I,J) is a 2X2 charged * Higgs-boson mass matrix in (phi_1^pm,phi_2^pm) basis dropping the two-loop * Born-improved term at the scale m_t-pole * CMCH_1L(1,1)=-CM0_1L(1,1)-CPI_SQ(1,1)-CPI_Q(1,1) CMCH_1L(1,2)=-CM0_1L(1,2)-CPI_SQ(1,2)-CPI_Q(1,2) CMCH_1L(2,1)=-CM0_1L(2,1)-CPI_SQ(2,1)-CPI_Q(2,1) CMCH_1L(2,2)=-CM0_1L(2,2)-CPI_SQ(2,2)-CPI_Q(2,2) * print*,CM0_1L(1,1),CPI_SQ(1,1),CPI_Q(1,1) * print*,CM0_1L(1,2),CPI_SQ(1,2),CPI_Q(1,2) * print*,CM0_1L(2,1),CPI_SQ(2,1),CPI_Q(2,1) * print*,CM0_1L(2,2),CPI_SQ(2,2),CPI_Q(2,2) *.....CMCH_1L(H^+,H^-) CMCH22=CMCH_1L(1,1)*SB_H**2-(CMCH_1L(1,2)+CMCH_1L(2,1))*SB_H*CB_H . +CMCH_1L(2,2)*CB_H**2 * print*,CMCH_1L(1,1)*SB_H**2,(CMCH_1L(1,2)+CMCH_1L(2,1))*SB_H*CB_H * . ,CMCH_1L(2,2)*CB_H**2 * print*,'>> GET_MASQ 13 <<',CMCH22 *------------------------------------------------------------------------- * MASQ = MCHpole^2 - BARL4/2*V^2 + Re[CPICH(H^+,H^-)] CPICH22 =-CMCH22 MASQ = MCH**2-BARL4*(V1**2+V2**2)/2.D0+DREAL(CPICH22) REPI22 = DREAL(CPICH22) BL4VSQ = BARL4*(V1**2+V2**2)/2.D0 * print*,MCH**2,BARL4*(V1**2+V2**2)/2.D0,DREAL(CPICH22) * print*,'>> GET_MASQ 15 <<',s,MASQ *------------------------------------------------------------------------- ************************************************************************ RETURN END * REAL*8 FUNCTION F_I(A,B,C) ************************************************************************ *JSL 18/APR/2005, A=B, B=C, C=A, A=B=C cases considered. *JSL:28/AUG/2006 : improved treatment for the degenerate cases ************************************************************************ * IMPLICIT REAL*8(A-H,M,O-Z) ** * EPS=1.D-6 * IF(DABS((B-A)/A).LT.EPS) B=A * IF(DABS((C-A)/A).LT.EPS) C=A * IF(DABS((C-B)/B).LT.EPS) B=C ** * IF(A.EQ.B .AND. B.EQ.C .AND. C.EQ.A) THEN * F_I=1.D0/2.D0/A * ELSEIF(A.EQ.B) THEN * F_I=(B-C+C*DLOG(C/B))/(B-C)**2 * ELSEIF(B.EQ.C) THEN * F_I=(C-A+A*DLOG(A/C))/(C-A)**2 * ELSEIF(C.EQ.A) THEN * F_I=(A-B+B*DLOG(B/A))/(A-B)**2 * ELSE * F_I=(A*B*DLOG(A/B)+B*C*DLOG(B/C)+C*A*DLOG(C/A)) * . /((A-B)*(B-C)*(A-C)) * ENDIF ** * RETURN * END REAL*8 FUNCTION A0_H(A1,Q2) ************************************************************************ * A_0(a) at the 't-Hooft scale Q**2 ************************************************************************ IMPLICIT REAL*8 (A,B,D-H,O-Z) A0_H=A1*(1.D0+B0_H(0.D0,A1,A1,Q2)) RETURN END REAL*8 FUNCTION B0_H(S,A1,A2,Q2) ************************************************************************ * Dispersive part of B_0(s,a,b) at the 't-Hooft scale Q**2 ************************************************************************ IMPLICIT REAL*8 (A,B,D-H,O-Z),COMPLEX*16 (C) IF (S.GT.0.D0) THEN B0_H=DREAL(CB0_H(S,A1,A2,Q2)) c B0_H=DIMAG(CB0_H(S,A1,A2,Q2)) ELSEIF (A1.EQ.A2) THEN B0_H = -DLOG(DSQRT(A1*A2)/Q2) ELSE B0_H=1.D0-DLOG(DSQRT(A1*A2)/Q2)+0.5D0*(A1+A2)/(A1-A2)*DLOG(A2/A1) ENDIF RETURN END COMPLEX*16 FUNCTION CB0_H(S,A1,A2,Q2) ************************************************************************ * B_0(q**2, m_1**2, m_2**2) at the 't-Hooft scale Q**2 ************************************************************************ IMPLICIT REAL*8 (A,B,D-H,O-Z),COMPLEX*16 (C) DATA PI/3.141592653589793238462643D0/ ARCH(X)=DLOG(X+DSQRT(X**2-1.D0)) X=Q2 B1=DSQRT(A1) B2=DSQRT(A2) AI=0.D0 ccc IF (A1.EQ.0.D0.AND.A2.EQ.0.D0) THEN CB0_H=-CLN_H(DCMPLX(-S/X),DCMPLX(-1.D0))+2.D0 ELSE IF (A1.EQ.0.D0.OR.A2.EQ.0.D0) THEN AM=DMAX1(A1,A2) IF (S.EQ.0.D0) THEN H=-1.D0 ELSE IF (S.LT.AM) THEN H=(AM/S-1.D0)*DLOG(1.D0-S/AM) ELSE IF (S.EQ.AM) THEN H=0.D0 ELSE H=(AM/S-1.D0)*DLOG(S/AM-1.D0) AI=-PI*(AM/S-1.D0) END IF R=DLOG(X/AM)+2.D0+H CB0_H=DCMPLX(R,AI) ELSE IF (S.EQ.0.D0.AND.A1.EQ.A2) THEN CB0_H=DCMPLX(DLOG(X/A1)) ELSE IF (S.EQ.0.D0) THEN CB0_H=DCMPLX(DLOG(X/(B1*B2))+1.D0-(A1+A2)/(A1-A2)*DLOG(B1/B2)) ELSE A=(S-A1-A2)**2-4.D0*A1*A2 B=0.5D0*(A1+A2-S)/(B1*B2) IF (S.LE.(B1-B2)**2) THEN H=DSQRT(A)*ARCH(B) ELSE IF (S.GT.(B1+B2)**2) THEN H=-DSQRT(A)*ARCH(-B) AI=PI*DSQRT(A)/S ELSE H=-DSQRT(-A)*DACOS(B) END IF R=DLOG(X/(B1*B2))+2.D0+(-(A1-A2)*DLOG(B1/B2)+H)/S CB0_H=DCMPLX(R,AI) END IF RETURN END COMPLEX*16 FUNCTION CLN_H(CX,CE) ************************************************************************ * ln{x + i*epsilon*sign[Re(e)]} ************************************************************************ IMPLICIT REAL*8 (A,B,D-H,O-Z),COMPLEX*16 (C) DATA PI/3.141592653589793238462643D0/ IF (DREAL(CX).LT.0.D0.AND.DIMAG(CX).EQ.0.D0) THEN CLN_H=CDLOG(-CX)+DSIGN(1.D0,DREAL(CE))*(0.D0,1.D0)*PI ELSE CLN_H=CDLOG(CX) END IF RETURN END COMPLEX*16 FUNCTION CB1_H(S,A1,A2,Q2) ************************************************************************ * B_1(q**2, m_1**2, m_2**2) at the 't-Hooft scale Q**2 ************************************************************************ IMPLICIT REAL*8 (A,B,D-H,O-Z),COMPLEX*16 (C) DATA PI/3.141592653589793238462643D0/ IF (S.GT.0.d0) THEN CB1_H=(A2-A1)*(CB0_H(S,A1,A2,Q2)-CB0_H(0.D0,A1,A2,Q2))/(2.D0*S) #-0.5D0*CB0_H(S,A1,A2,Q2) ELSE CB1_H=-0.25D0+0.5D0*DLOG(A2/Q2)+0.5D0*A1**2/(A1-A2)**2*DLOG(A1/A2) #-0.5D0*A1/(A1-A2) ENDIF RETURN END SUBROUTINE GET_CMNH(SPRO,MCH,MASQ,NFLAG,IFLAG_H . ,QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 . ,XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF . ,V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF . ,HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF . ,HT_CP,HB_CP,BARL1,BARL2,BARL34 . ,CMNH) ************************************************************************ * * RG-improved 4x4 Complex Neurtal Higgs Mass matrix * in (phi_1, phi_2, a, G) basis * * M^2_ij = M^2(0)_ij - M^2(0)[1 loop]_ij/(xi_i xi_j) * - Pi-hat_ij(Squarks)/(xi_i xi_j) - Pi-hat_ij(Quarks) * * CMNH(I,J) = CM0(I,J)-CM0_1L(I,J)-CPI_SQ(I,J)-CPI_Q(I,J) * * CM0 : Two-loop Born-improved mass matrix at the scale m_t * Eqs. (2.21-24) (3.29) of NPB586(2000)92 * CM0_1L : One-loop part of tree-level-form mass matrix at the scale Q * after multiplying anomalous dim. factors XI_I and XI_J * CPI_SQ : Squark contributions to the self energy at Q * after multiplying anomalous dim. factors XI_I and XI_J * Eqs. (2.11-14), (B.5)(a), (B.11)(a), (B.6)(b), (B.16)(d) * of NPB625(2002)345 * CPI_Q : Quark contributions to the self energy at m_t * Eqs. (B.14)(c), (B.16)(e) of NPB625(2002)345 * *---> SPRO,MCH,MASQ ! S and Charged Higgs-boson pole mass * and the would-be CP-odd scalar *---> QQT2,QTT2,QST2,QQB2,QBB2,QSB2,QSF2 ! S and sfermion scales *---> XI1_ST,XI1_SB,XI1_SF,XI2_ST,XI2_SB,XI2_SF ! anomalous dimensions * : ST=Stop mass scale * : SB=Sbottom mass scale * : SF=Sfermion mass scale *---> V1,V1_ST,V1_SB,V1_SF,V2,V2_ST,V2_SB,V2_SF ! vevs * : V1, V2 at Mtpole *---> HT,HT_MT,HT_ST,HT_SF,HB,HB_MT,HB_SB,HB_SF ! Yukawa couplings * : HT , HB at Mtpole without threshold corrections * : HT_MT, HB_MT at Mtpole with threshold corrections *---> HT_CP,HB_CP ! CP phases of Yukawa couplings * : HT_X(complex)=HT_X*HT_CP with X=none, MT, ST, SF * : HB_X(complex)=HB_X*HB_CP with X=none, MT, SB, SF * ************************************************************************ IMPLICIT REAL*8(A-H,M,O-Z) * INTEGER*8 IFLAG_H(NFLAG) *----------------------------------------------------------------------- *+CDE HC_ COMMON BLOCKS: COMMON /HC_SMPARA/ AEM_H,ASMZ_H,MZ_H,SW_H,ME_H,MMU_H,MTAU_H,MDMT_H . ,MSMT_H,MBMT_H,MUMT_H,MCMT_H,MTPOLE_H,GAMW_H . ,GAMZ_H,EEM_H,ASMT_H,CW_H,TW_H,MW_H,GW_H,GP_H . ,V_H,GF_H,MTMT_H * COMMON /HC_RSUSYPARA/ TB_H,CB_H,SB_H,MQ3_H,MU3_H,MD3_H,ML3_H,ME3_H * COMPLEX*16 MU_H,M1_H,M2_H,M3_H,AT_H,AB_H,ATAU_H COMMON /HC_CSUSYPARA/ MU_H,M1_H,M2_H,M3_H,AT_H,AB_H,ATAU_H *----------------------------------------------------------------------- *Local COMPLEX*16 HT_CP,HB_CP COMPLEX*16 CF1TT(2,2),CF2TT(2,2),CF1BB(2,2),CF2BB(2,2),CA1TT(2,2), . CA2TT(2,2),CA1BB(2,2),CA2BB(2,2),CP1TB(2,2),CP2TB(2,2), . CPP1TT(2,2),CPP2TT(2,2),CPP1BB(2,2),CPP2BB(2,2) COMPLEX*16 CHTR,CHBR,CXI COMPLEX*16 UT3(2,2),UB3(2,2) COMPLEX*16 C0U,C1UB,C1UT,C2U COMPLEX*16 CB0_H COMPLEX*16 CM0(4,4),CM0_1L(4,4),CPI_SQ(4,4),CPI_Q(4,4) COMPLEX*16 CSTA(4,4),CSTB(4,4),CSTC(4,4),CSTS(4,4),CSTT(4,4) COMPLEX*16 CSBA(4,4),CSBB(4,4),CSBC(4,4),CSBS(4,4),CSBT(4,4) COMPLEX*16 CST_F,CSB_F COMPLEX*16 CST_FP,CST_FM,CSB_FP,CSB_FM COMPLEX*16 CMNH(4,4) * REAL*8 XIST(4),XISB(4),UROT(4,4) * PI=2.D0*DASIN(1.D0) CXI=DCMPLX(0.D0,1.D0) * ************************************************************************ S=SPRO *at top-quark pole mass scale GS2 =4.D0*PI*ASMT_H *------------------------------------------------------------------------- * CM0 : Two-loop Born-improved mass matrix at the scale m_t * in (phi_1, phi_2, a, G) basis * Eqs. (2.21-24) (3.29) of NPB586(2000)92 * *.....1-loop couplings at M_t^pole : *For M_{ij}^2(0) [Eq.(3.15) NPB586] IF(IFLAG_H(12).EQ.3 .OR. IFLAG_H(12).EQ.5) THEN HBX=HB_MT HTX=HT_MT ELSE HBX=HB HTX=HT ENDIF * X1L1=-3.D0/(32.D0*PI**2)*( . (GW_H**2/4.D0-GP_H**2/12.D0)**2*DLOG(QQT2/MTPOLE_H**2)+ . GP_H**4/9.D0*DLOG(QTT2/MTPOLE_H**2)+ . (HBX**2-GW_H**2/4.D0-GP_H**2/12.D0)**2*DLOG(QQB2/MTPOLE_H**2)+ . (HBX**2-GP_H**2/6.D0)**2*DLOG(QBB2/MTPOLE_H**2) ) X1L2=-3.D0/(32.D0*PI**2)*( . (HTX**2-GW_H**2/4.D0+GP_H**2/12.D0)**2*DLOG(QQT2/MTPOLE_H**2)+ . (HTX**2-GP_H**2/3.D0)**2*DLOG(QTT2/MTPOLE_H**2)+ . (GW_H**2/4.D0+GP_H**2/12.D0)**2*DLOG(QQB2/MTPOLE_H**2)+ . GP_H**4/36.D0*DLOG(QBB2/MTPOLE_H**2) ) X1L3=-3.D0/(16.D0*PI**2)*(HTX**2*HBX**2*(DLOG(QQT2/MTPOLE_H**2) . +DLOG(DMAX1(QTT2,QBB2)/MTPOLE_H**2)) .-((GW_H**2/4.D0+GP_H**2/12.D0)*(HTX**2-GW_H**2/4.D0)- . GP_H**2/12.D0*(GW_H**2/4.D0-GP_H**2/12.D0))* . DLOG(QQT2/MTPOLE_H**2) .-((GW_H**2/4.D0-GP_H**2/12.D0)*(HBX**2-GW_H**2/4.D0)+ . GP_H**2/12.D0*(GW_H**2/4.D0+GP_H**2/12.D0) )* . DLOG(QQB2/MTPOLE_H**2) .+GP_H**2/3.D0*(HTX**2-GP_H**2/3.D0)*DLOG(QTT2/MTPOLE_H**2) .+GP_H**2/6.D0*(HBX**2-GP_H**2/6.D0)*DLOG(QBB2/MTPOLE_H**2) ) X1L4= 3.D0/(16.D0*PI**2)*(HTX**2*HBX**2*(DLOG(QQT2/MTPOLE_H**2) . +DLOG(DMAX1(QTT2,QBB2)/MTPOLE_H**2)) ,-GW_H**2/2.D0*(HTX**2-GW_H**2/4.D0)*DLOG(QQT2/MTPOLE_H**2) .-GW_H**2/2.D0*(HBX**2-GW_H**2/4.D0)*DLOG(QQB2/MTPOLE_H**2) ) X1L34 = X1L3 + X1L4 *Threshold corrections have NOT included in two-loop couplings *.....2-loop couplings at M_t^pole X2L1=-6.D0*HB**4/(32.D0*PI**2)**2 . *(3.D0*HB**2/2.D0+HT**2/2.D0-8.D0*GS2) . *((DLOG(QQB2/MTPOLE_H**2))**2+(DLOG(QBB2/MTPOLE_H**2))**2) X2L2=-6.D0*HT**4/(32.D0*PI**2)**2 . *(3.D0*HT**2/2.D0+HB**2/2.D0-8.D0*GS2) . *((DLOG(QQT2/MTPOLE_H**2))**2+(DLOG(QTT2/MTPOLE_H**2))**2) X2L34 = 0.D0 *.....Computation of the chargino and neutrlino contributions to the *.....couplings \lambda_1, \lambda_2, \lambda_{34} = \lambda_3+\lambda_4, *.....and \lambda_4: XINO1, XINO2, XINO34, XINO4 *.....In this determination the formulas in Appendix C of H.E. Haber and *.....R. Hempfling, Phys. Rev. D48 (1993) 4280, are used. TWINO=0.D0 THINO=0.D0 TCHI1=0.D0 TCHI2=0.D0 TCHI12=0.D0 * IF( QSF2.GT.CDABS(M2_H)**2 ) THEN TWINO=-DLOG( QSF2/CDABS(M2_H)**2 ) IF(MTPOLE_H.GT.CDABS(M2_H)) TWINO=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * IF( QSF2.GT.CDABS(MU_H)**2 ) THEN THINO=-DLOG( QSF2/CDABS(MU_H)**2 ) IF(MTPOLE_H.GT.CDABS(MU_H)) THINO=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * IF( QSF2.GT.DMAX1(CDABS(MU_H)**2,CDABS(M1_H)**2) ) THEN TCHI1=-DLOG( QSF2/DMAX1(CDABS(MU_H)**2,CDABS(M1_H)**2) ) IF(MTPOLE_H.GT.DMAX1(CDABS(MU_H),CDABS(M1_H))) . TCHI1=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * IF( QSF2.GT.DMAX1(CDABS(MU_H)**2,CDABS(M2_H)**2) ) THEN TCHI2=-DLOG( QSF2/ DMAX1(CDABS(MU_H)**2,CDABS(M2_H)**2) ) IF(MTPOLE_H.GT.DMAX1(CDABS(MU_H),CDABS(M1_H))) . TCHI2=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * IF( DSQRT(QSF2).GT. . DMAX1(CDABS(MU_H),DMAX1(CDABS(M1_H),CDABS(M2_H))) ) THEN TCHI12=-2.D0*DLOG(DSQRT(QSF2) . /DMAX1(CDABS(MU_H),DMAX1(CDABS(M1_H),CDABS(M2_H))) ) IF( MTPOLE_H.GT. . DMAX1(CDABS(MU_H),DMAX1(CDABS(M1_H),CDABS(M2_H))) ) . TCHI12=-DLOG( QSF2/MTPOLE_H**2 ) ENDIF * XINO1=-GW_H**2**2/(768.D0*PI**2*CW_H**2**2)*( . 6.D0*SW_H**2*(1.D0-2.D0*SW_H**2)*TCHI1 .-24.D0*SW_H**2*CW_H**2*TCHI12 .-(42.D0-102.D0*SW_H**2+60.D0*SW_H**2**2)*TCHI2 .-4.D0*(SW_H**2**2+CW_H**2**2)*THINO-8.D0*CW_H**2**2*TWINO ) XINO2 = XINO1 XINO34=GW_H**2**2/(384.D0*PI**2*CW_H**2**2)*( . 6.D0*SW_H**2*(1.D0+2.D0*SW_H**2)*TCHI1 .+24.D0*SW_H**2*CW_H**2*TCHI12 .+(30.D0-42.D0*SW_H**2+12.D0*SW_H**2**2)*TCHI2 .-4.D0*(SW_H**2**2+CW_H**2**2)*THINO-8.D0*CW_H**2**2*TWINO ) XINO4=GW_H**4/(192.D0*PI**2)*( . 6.D0*SW_H**2/CW_H**2*TCHI1 + 24.D0*SW_H**2/CW_H**2*TCHI12 .-6.D0*TCHI2 - 4.D0*THINO - 8.D0*TWINO ) *.....Two-loop improved couplings BARL1 = -(GW_H**2+GP_H**2)/8.D0 + X1L1 + X2L1 + XINO1 BARL2 = -(GW_H**2+GP_H**2)/8.D0 + X1L2 + X2L2 + XINO2 BARL34 = (GW_H**2+GP_H**2)/4.D0 + X1L34 + X2L34 + XINO34 *.....Finally, in the (phi_1, phi_2, a, G) basis DO I=1,4 DO J=1,4 CM0(I,J)=DCMPLX(0.D0,0.D0) ENDDO ENDDO CM0(1,1)=DCMPLX( MASQ*SB_H**2 - 2.D0*BARL1*V1**2,0.D0) CM0(2,2)=DCMPLX( MASQ*CB_H**2 - 2.D0*BARL2*V2**2,0.D0) CM0(1,2)=DCMPLX(-MASQ*SB_H*CB_H - BARL34*V1*V2 ,0.D0) CM0(2,1)=CM0(1,2) CM0(3,3)=DCMPLX( MASQ,0.D0) * print*,'> CM0(1,1) <',cm0(1,1) * print*,'> CM0(1,2) <',cm0(1,2) * print*,'> CM0(2,2) <',cm0(2,2) * print*,'> CM0(3,3) <',cm0(3,3) *------------------------------------------------------------------------- * CM0_1L : One-loop part of tree-level-form mass matrix at the scale Q * in the (phi_1, phi_2, a_1, a_2) basis. The anomalous dim. factors * XI_I and XI_J are multiplied * *.....1-loop couplings at stop and sbottom scales: *..... : Note that CM0_1L(I,J)=0 identically when M_Q=M_U=M_D. *..... : Yukawa couplings WITH threshold corrections used X1L1T=-3.D0/(32.D0*PI**2)*( . (GW_H**2/4.D0-GP_H**2/12.D0)**2*DLOG(QQT2/QST2)+ . GP_H**4/9.D0*DLOG(QTT2/QST2) ) X1L1B=-3.D0/(32.D0*PI**2)*( . (HB_SB**2-GW_H**2/4.D0-GP_H**2/12.D0)**2*DLOG(QQB2/QSB2)+ . (HB_SB**2-GP_H**2/6.D0)**2*DLOG(QBB2/QSB2) ) X1L2T=-3.D0/(32.D0*PI**2)*( . (HT_ST**2-GW_H**2/4.D0+GP_H**2/12.D0)**2*DLOG(QQT2/QST2)+ . (HT_ST**2-GP_H**2/3.D0)**2*DLOG(QTT2/QST2) ) X1L2B=-3.D0/(32.D0*PI**2)*( . (GW_H**2/4.D0+GP_H**2/12.D0)**2*DLOG(QQB2/QSB2)+ . GP_H**4/36.D0*DLOG(QBB2/QSB2) ) X1L3T=-3.D0/(16.D0*PI**2)*( .-((GW_H**2/4.D0+GP_H**2/12.D0)*(HT_ST**2-GW_H**2/4.D0)- . GP_H**2/12.D0*(GW_H**2/4.D0-GP_H**2/12.D0))* . DLOG(QQT2/QST2) .+GP_H**2/3.D0*(HT_ST**2-GP_H**2/3.D0)*DLOG(QTT2/QST2) ) X1L3B=-3.D0/(16.D0*PI**2)*( .-((GW_H**2/4.D0-GP_H**2/12.D0)*(HB_SB**2-GW_H**2/4.D0)+ . GP_H**2/12.D0*(GW_H**2/4.D0+GP_H**2/12.D0) )* . DLOG(QQB2/QSB2) .+GP_H**2/6.D0*(HB_SB**2-GP_H**2/6.D0)*DLOG(QBB2/QSB2) ) X1L4T=-3.D0/(16.D0*PI**2)* , GW_H**2/2.D0*(HT_ST**2-GW_H**2/4.D0)*DLOG(QQT2/QST2) X1L4B=-3.D0/(16.D0*PI**2)* . GW_H**2/2.D0*(HB_SB**2-GW_H**2/4.D0)*DLOG(QQB2/QSB2) X1L34T = X1L3T + X1L4T X1L34B = X1L3B + X1L4B *.....Note that XRM12T and XRM12B are always vanishing! XRM12T=3.D0/(16.D0*PI**2)*HT_ST**2*DREAL(MU_H*AT_H) . *DLOG(DMAX1(QQT2,QTT2)/QST2) XRM12B=3.D0/(16.D0*PI**2)*HB_SB**2*DREAL(MU_H*AB_H) . *DLOG(DMAX1(QQB2,QBB2)/QSB2) *.....Finally, in the (phi_1, phi_2, a_1, a_2) basis DO I=1,4 DO J=1,4 CM0_1L(I,J)=DCMPLX(0.D0,0.D0) ENDDO ENDDO CM0_1L(1,1)= DCMPLX( XRM12T*V2_ST/V1_ST-2.D0*X1L1T*V1_ST**2,0.D0) . /XI1_ST/XI1_ST . +DCMPLX( XRM12B*V2_SB/V1_SB-2.D0*X1L1B*V1_SB**2,0.D0) . /XI1_SB/XI1_SB CM0_1L(2,2)= DCMPLX( XRM12T*V1_ST/V2_ST-2.D0*X1L2T*V2_ST**2,0.D0) . /XI2_ST/XI2_ST . +DCMPLX( XRM12B*V1_SB/V2_SB-2.D0*X1L2B*V2_SB**2,0.D0) . /XI2_SB/XI2_SB CM0_1L(1,2)= DCMPLX(-XRM12T -X1L34T*V1_ST*V2_ST ,0.D0) . /XI1_ST/XI2_ST . +DCMPLX(-XRM12B -X1L34B*V1_SB*V2_SB ,0.D0) . /XI1_SB/XI2_SB CM0_1L(2,1)=CM0_1L(1,2) CM0_1L(3,3)= DCMPLX( XRM12T*V2_ST/V1_ST,0.D0)/XI1_ST/XI1_ST . +DCMPLX( XRM12B*V2_SB/V1_SB,0.D0)/XI1_SB/XI1_SB CM0_1L(4,4)= DCMPLX( XRM12T*V1_ST/V2_ST,0.D0)/XI2_ST/XI2_ST . +DCMPLX( XRM12B*V1_SB/V2_SB,0.D0)/XI2_SB/XI2_SB CM0_1L(3,4)= DCMPLX(-XRM12T ,0.D0)/XI1_ST/XI2_ST . +DCMPLX(-XRM12B ,0.D0)/XI1_SB/XI2_SB CM0_1L(4,3)=CM0_1L(3,4) * print*,'> CM0_1L(1,1) <',cm0_1l(1,1) * print*,'> CM0_1L(1,2) <',cm0_1l(1,2) * print*,'> CM0_1L(2,2) <',cm0_1l(2,2) * print*,'> CM0_1L(3,3) <',cm0_1l(3,3) * print*,'> CM0_1L(3,4) <',cm0_1l(3,4) * print*,'> CM0_1L(4,4) <',cm0_1l(4,4) *------------------------------------------------------------------------- * CPI_SQ : Squark contributions to the self energy at Q in the * (phi_1, phi_2, a_1, a_2) basis. The anomalous dim. factors * XI_I and XI_J are multiplied * Eqs. (2.11-14), (B.5)(a), (B.11)(a), (B.6)(b), (B.16)(d) * of NPB625(2002)345 * *.....Squark sector: GWY2=GW_H**2/8.D0/CW_H**2 GXT2=(GW_H**2-5.D0*GW_H**2*SW_H**2/CW_H**2/3.D0)/4.D0 GXB2=(GW_H**2-GW_H**2*SW_H**2/CW_H**2/3.D0)/4.D0 SUM_ST=MQ3_H**2+MU3_H**2+HT_ST**2*V2_ST**2 . +GWY2*(V1_ST**2-V2_ST**2) DIF_ST2=(MQ3_H**2-MU3_H**2 . +GXT2*(V1_ST**2-V2_ST**2)/2.D0)**2 . +2.D0*HT_ST**2*CDABS(DCONJG(AT_H)*V2_ST-MU_H*V1_ST)**2 MSQ_ST2=(SUM_ST+DSQRT(DIF_ST2))/2.D0 MSQ_ST1=(SUM_ST-DSQRT(DIF_ST2))/2.D0 SUM_SB=MQ3_H**2+MD3_H**2+HB_SB**2*V1_SB**2 . +GWY2*(V2_SB**2-V1_SB**2) DIF_SB2=(MQ3_H**2-MD3_H**2 . +GXB2*(V2_SB**2-V1_SB**2)/2.D0)**2 . +2.D0*HB_SB**2*CDABS(DCONJG(AB_H)*V1_SB-MU_H*V2_SB)**2 MSQ_SB2=(SUM_SB+DSQRT(DIF_SB2))/2.D0 MSQ_SB1=(SUM_SB-DSQRT(DIF_SB2))/2.D0 IF(MSQ_ST1.LT.0.D0.OR.MSQ_ST2.LT.0.D0.OR. . MSQ_SB1.LT.0.D0.OR.MSQ_SB2.LT.0.D0) THEN IFLAG_H(50)=1 RETURN ENDIF UT3(1,1)=(MQ3_H**2-MU3_H**2 . +GXT2*(V1_ST**2-V2_ST**2)/2.D0)/(MSQ_ST2-MSQ_ST1) UT3(2,1)=DSQRT(2.D0)*HT_ST*HT_CP*(AT_H*V2_ST-DCONJG(MU_H)*V1_ST) . /(MSQ_ST2-MSQ_ST1) UT3(1,2)=DCONJG( UT3(2,1) ) UT3(2,2)=-UT3(1,1) UB3(1,1)=(MQ3_H**2-MD3_H**2 . -GXB2*(V1_SB**2-V2_SB**2)/2.D0)/(MSQ_SB2-MSQ_SB1) UB3(2,1)=DSQRT(2.D0)*HB_SB*HB_CP*(AB_H*V1_SB-DCONJG(MU_H)*V2_SB) . /(MSQ_SB2-MSQ_SB1) UB3(1,2)=DCONJG( UB3(2,1) ) UB3(2,2)=-UB3(1,1) *Here charged Higgs-SQURK-SQUARK couplings : CHTR = HT_ST*HT_CP CHBR = HB_SB*HB_CP V1RT = V1_ST V2RT = V2_ST V1RB = V1_SB V2RB = V2_SB * The complex Yukawa couplings with threhsold corrections should be used ?: *=> See the above arguments. *--->Start * Gamma{\phi_1 ~t* ~t}: CF1TT(2,2) * CF1TT(1,1)=-V1RT*(GW_H**2-GP_H**2/3.D0)/4.D0 CF1TT(1,2)=DCONJG(CHTR)*MU_H/DSQRT(2.D0) CF1TT(2,1)=DCONJG( CF1TT(1,2) ) CF1TT(2,2)=-V1RT*GP_H**2/3.D0 * Gamma{\phi_2 ~t* ~t}: CF2TT(2,2) * CF2TT(1,1)=-CDABS(CHTR)**2*V2RT+V2RT*(GW_H**2-GP_H**2/3.D0)/4.D0 CF2TT(1,2)=-DCONJG(CHTR*AT_H)/DSQRT(2.D0) CF2TT(2,1)=DCONJG( CF2TT(1,2) ) CF2TT(2,2)=-CDABS(CHTR)**2*V2RT+V2RT*GP_H**2/3.D0 * Gamma{\phi_1 ~b* ~b}: CF1BB(2,2) * CF1BB(1,1)=-CDABS(CHBR)**2*V1RB+V1RB*(GW_H**2+GP_H**2/3.D0)/4.D0 CF1BB(1,2)=-DCONJG(CHBR*AB_H)/DSQRT(2.D0) CF1BB(2,1)=DCONJG( CF1BB(1,2) ) CF1BB(2,2)=-CDABS(CHBR)**2*V1RB+V1RB*GP_H**2/6.D0 * Gamma{\phi_2 ~b* ~b}: CF2BB(2,2) * CF2BB(1,1)=-V2RB*(GW_H**2+GP_H**2/3.D0)/4.D0 CF2BB(1,2)=DCONJG(CHBR)*MU_H/DSQRT(2.D0) CF2BB(2,1)=DCONJG( CF2BB(1,2) ) CF2BB(2,2)=-V2RB*GP_H**2/6.D0 * Gamma{a_1 ~t* ~t}: CA1TT(2,2) * CA1TT(1,1)=0.D0 CA1TT(1,2)=-CXI*DCONJG(CHTR)/DSQRT(2.D0) * MU_H CA1TT(2,1)=DCONJG( CA1TT(1,2) ) CA1TT(2,2)=0.D0 * Gamma{a_2 ~t* ~t}: CA2TT(2,2) * CA2TT(1,1)=0.D0 CA2TT(1,2)=CXI*DCONJG(CHTR)/DSQRT(2.D0) * DCONJG(AT_H) CA2TT(2,1)=DCONJG( CA2TT(1,2) ) CA2TT(2,2)=0.D0 * Gamma{a_1 ~b* ~b}: CA1BB(2,2) * CA1BB(1,1)=0.D0 CA1BB(1,2)=-CXI*DCONJG(CHBR)/DSQRT(2.D0) * DCONJG(AB_H) CA1BB(2,1)=DCONJG( CA1BB(1,2) ) CA1BB(2,2)=0.D0 * Gamma{a_2 ~b* ~b}: CA2BB(2,2) * CA2BB(1,1)=0.D0 CA2BB(1,2)=CXI*DCONJG(CHBR)/DSQRT(2.D0) * MU_H CA2BB(2,1)=DCONJG( CA2BB(1,2) ) CA2BB(2,2)=0.D0 * Gamma{\phi+_1 ~t* ~b}: CP1TB(2,2) * CP1TB(1,1)=-V1_SF*(HB_SF**2-GW_H**2/2.D0)/DSQRT(2.D0) CP1TB(1,2)=-DCONJG(HB_SF*HB_CP*AB_H) CP1TB(2,1)=-HT_SF*HT_CP*DCONJG(MU_H) CP1TB(2,2)=-HT_SF*HT_CP*DCONJG(HB_SF*HB_CP)*V2_SF/DSQRT(2.D0) * Gamma{\phi+_2 ~t* ~b}: CP2TB(2,2) * CP2TB(1,1)=V2_SF*(HT_SF**2-GW_H**2/2.D0)/DSQRT(2.D0) CP2TB(1,2)=DCONJG(HB_SF*HB_CP)*MU_H CP2TB(2,1)=HT_SF*HT_CP*AT_H CP2TB(2,2)=HT_SF*HT_CP*DCONJG(HB_SF*HB_CP)*V1_SF/DSQRT(2.D0) * Gamma{\phi+_1 \phi+_1 ~t* ~t}: CPP1TT(2,2) * CPP1TT(1,1)=-HB_SF**2+(GW_H**2+GP_H**2/3.D0)/4.D0 CPP1TT(1,2)=0.D0 CPP1TT(2,1)=0.D0 CPP1TT(2,2)=-GP_H**2/3.D0 * Gamma{\phi+_2 \phi+_2 ~t* ~t}: CPP2TT(2,2) * CPP2TT(1,1)=-(GW_H**2+GP_H**2/3.D0)/4.D0 CPP2TT(1,2)=0.D0 CPP2TT(2,1)=0.D0 CPP2TT(2,2)=-HT_SF**2+GP_H**2/3.D0 * Gamma{\phi+_1 \phi+_1 ~b* ~b}: CPP1BB(2,2) * CPP1BB(1,1)=-(GW_H**2-GP_H**2/3.D0)/4.D0 CPP1BB(1,2)=0.D0 CPP1BB(2,1)=0.D0 CPP1BB(2,2)=-HB_SF**2+GP_H**2/6.D0 * Gamma{\phi+_2 \phi+_2 ~b* ~b}: CPP2BB(2,2) * CPP2BB(1,1)=-HT_SF**2+(GW_H**2-GP_H**2/3.D0)/4.D0 CPP2BB(1,2)=0.D0 CPP2BB(2,1)=0.D0 CPP2BB(2,2)=-GP_H**2/6.D0 *-->EOF *.....The 1st term of Eqs.(B.5) and (B.11) of NPB625(2002)345 : CSTA and CSBA CST_F=3.D0/(64.D0*PI**2)*(CB0_H(S,MSQ_ST2,MSQ_ST2,QST2)+ . CB0_H(S,MSQ_ST1,MSQ_ST1,QST2)+ . 2.D0*CB0_H(S,MSQ_ST1,MSQ_ST2,QST2)) CSB_F=3.D0/(64.D0*PI**2)*(CB0_H(S,MSQ_SB2,MSQ_SB2,QSB2)+ . CB0_H(S,MSQ_SB1,MSQ_SB1,QSB2)+ . 2.D0*CB0_H(S,MSQ_SB1,MSQ_SB2,QSB2)) DO I=1,4 DO J=I,4 CSTA(I,J)=DCMPLX(0.D0,0.D0) CSBA(I,J)=DCMPLX(0.D0,0.D0) DO I1=1,2 DO J1=1,2 * IF(I.EQ.1.AND.J.EQ.1) . CSTA(I,J)=CST_F*CF1TT(I1,J1)*CF1TT(J1,I1)+CSTA(I,J) IF(I.EQ.1.AND.J.EQ.2) . CSTA(I,J)=CST_F*CF1TT(I1,J1)*CF2TT(J1,I1)+CSTA(I,J) IF(I.EQ.1.AND.J.EQ.3) . CSTA(I,J)=CST_F*CF1TT(I1,J1)*CA1TT(J1,I1)+CSTA(I,J) IF(I.EQ.1.AND.J.EQ.4) . CSTA(I,J)=CST_F*CF1TT(I1,J1)*CA2TT(J1,I1)+CSTA(I,J) IF(I.EQ.2.AND.J.EQ.2) . CSTA(I,J)=CST_F*CF2TT(I1,J1)*CF2TT(J1,I1)+CSTA(I,J) IF(I.EQ.2.AND.J.EQ.3) . CSTA(I,J)=CST_F*CF2TT(I1,J1)*CA1TT(J1,I1)+CSTA(I,J) IF(I.EQ.2.AND.J.EQ.4) . CSTA(I,J)=CST_F*CF2TT(I1,J1)*CA2TT(J1,I1)+CSTA(I,J) IF(I.EQ.3.AND.J.EQ.3) . CSTA(I,J)=CST_F*CA1TT(I1,J1)*CA1TT(J1,I1)+CSTA(I,J) IF(I.EQ.3.AND.J.EQ.4) . CSTA(I,J)=CST_F*CA1TT(I1,J1)*CA2TT(J1,I1)+CSTA(I,J) IF(I.EQ.4.AND.J.EQ.4) . CSTA(I,J)=CST_F*CA2TT(I1,J1)*CA2TT(J1,I1)+CSTA(I,J) * IF(I.EQ.1.AND.J.EQ.1) . CSBA(I,J)=CSB_F*CF1BB(I1,J1)*CF1BB(J1,I1)+CSBA(I,J) IF(I.EQ.1.AND.J.EQ.2) . CSBA(I,J)=CSB_F*CF1BB(I1,J1)*CF2BB(J1,I1)+CSBA(I,J) IF(I.EQ.1.AND.J.EQ.3) . CSBA(I,J)=CSB_F*CF1BB(I1,J1)*CA1BB(J1,I1)+CSBA(I,J) IF(I.EQ.1.AND.J.EQ.4) . CSBA(I,J)=CSB_F*CF1BB(I1,J1)*CA2BB(J1,I1)+CSBA(I,J) IF(I.EQ.2.AND.J.EQ.2) . CSBA(I,J)=CSB_F*CF2BB(I1,J1)*CF2BB(J1,I1)+CSBA(I,J) IF(I.EQ.2.AND.J.EQ.3) . CSBA(I,J)=CSB_F*CF2BB(I1,J1)*CA1BB(J1,I1)+CSBA(I,J) IF(I.EQ.2.AND.J.EQ.4) . CSBA(I,J)=CSB_F*CF2BB(I1,J1)*CA2BB(J1,I1)+CSBA(I,J) IF(I.EQ.3.AND.J.EQ.3) . CSBA(I,J)=CSB_F*CA1BB(I1,J1)*CA1BB(J1,I1)+CSBA(I,J) IF(I.EQ.3.AND.J.EQ.4) . CSBA(I,J)=CSB_F*CA1BB(I1,J1)*CA2BB(J1,I1)+CSBA(I,J) IF(I.EQ.4.AND.J.EQ.4) . CSBA(I,J)=CSB_F*CA2BB(I1,J1)*CA2BB(J1,I1)+CSBA(I,J) * ENDDO ! J1 ENDDO ! I1 * print*,i,j,s,CSTA(I,J) * print*,i,j,s,CSBA(I,J) ENDDO ENDDO CSTA(2,1)=CSTA(1,2) CSTA(3,1)=CSTA(1,3) CSTA(3,2)=CSTA(2,3) CSTA(4,1)=CSTA(1,4) CSTA(4,2)=CSTA(2,4) CSTA(4,3)=CSTA(3,4) CSBA(2,1)=CSBA(1,2) CSBA(3,1)=CSBA(1,3) CSBA(3,2)=CSBA(2,3) CSBA(4,1)=CSBA(1,4) CSBA(4,2)=CSBA(2,4) CSBA(4,3)=CSBA(3,4) *.....The 2nd term of Eq.(B.5) and (B.11) of NPB625(2002)345 : CSTB and CSBB CST_F=3.D0/(64.D0*PI**2)*(CB0_H(S,MSQ_ST2,MSQ_ST2,QST2)- . CB0_H(S,MSQ_ST1,MSQ_ST1,QST2)) CSB_F=3.D0/(64.D0*PI**2)*(CB0_H(S,MSQ_SB2,MSQ_SB2,QSB2)- . CB0_H(S,MSQ_SB1,MSQ_SB1,QSB2)) DO I=1,4 DO J=I,4 CSTB(I,J)=DCMPLX(0.D0,0.D0) CSBB(I,J)=DCMPLX(0.D0,0.D0) DO I1=1,2 DO J1=1,2 DO K1=1,2 * IF(I.EQ.1.AND.J.EQ.1) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CF1TT(J1,K1)*CF1TT(K1,I1)+CF1TT(J1,K1)*CF1TT(K1,I1)) . +CSTB(I,J) IF(I.EQ.1.AND.J.EQ.2) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CF1TT(J1,K1)*CF2TT(K1,I1)+CF2TT(J1,K1)*CF1TT(K1,I1)) . +CSTB(I,J) IF(I.EQ.1.AND.J.EQ.3) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CF1TT(J1,K1)*CA1TT(K1,I1)+CA1TT(J1,K1)*CF1TT(K1,I1)) . +CSTB(I,J) IF(I.EQ.1.AND.J.EQ.4) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CF1TT(J1,K1)*CA2TT(K1,I1)+CA2TT(J1,K1)*CF1TT(K1,I1)) . +CSTB(I,J) IF(I.EQ.2.AND.J.EQ.2) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CF2TT(J1,K1)*CF2TT(K1,I1)+CF2TT(J1,K1)*CF2TT(K1,I1)) . +CSTB(I,J) IF(I.EQ.2.AND.J.EQ.3) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CF2TT(J1,K1)*CA1TT(K1,I1)+CA1TT(J1,K1)*CF2TT(K1,I1)) . +CSTB(I,J) IF(I.EQ.2.AND.J.EQ.4) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CF2TT(J1,K1)*CA2TT(K1,I1)+CA2TT(J1,K1)*CF2TT(K1,I1)) . +CSTB(I,J) IF(I.EQ.3.AND.J.EQ.3) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CA1TT(J1,K1)*CA1TT(K1,I1)+CA1TT(J1,K1)*CA1TT(K1,I1)) . +CSTB(I,J) IF(I.EQ.3.AND.J.EQ.4) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CA1TT(J1,K1)*CA2TT(K1,I1)+CA2TT(J1,K1)*CA1TT(K1,I1)) . +CSTB(I,J) IF(I.EQ.4.AND.J.EQ.4) . CSTB(I,J)=CST_F*UT3(I1,J1) . *(CA2TT(J1,K1)*CA2TT(K1,I1)+CA2TT(J1,K1)*CA2TT(K1,I1)) . +CSTB(I,J) * IF(I.EQ.1.AND.J.EQ.1) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CF1BB(J1,K1)*CF1BB(K1,I1)+CF1BB(J1,K1)*CF1BB(K1,I1)) . +CSBB(I,J) IF(I.EQ.1.AND.J.EQ.2) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CF1BB(J1,K1)*CF2BB(K1,I1)+CF2BB(J1,K1)*CF1BB(K1,I1)) . +CSBB(I,J) IF(I.EQ.1.AND.J.EQ.3) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CF1BB(J1,K1)*CA1BB(K1,I1)+CA1BB(J1,K1)*CF1BB(K1,I1)) . +CSBB(I,J) IF(I.EQ.1.AND.J.EQ.4) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CF1BB(J1,K1)*CA2BB(K1,I1)+CA2BB(J1,K1)*CF1BB(K1,I1)) . +CSBB(I,J) IF(I.EQ.2.AND.J.EQ.2) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CF2BB(J1,K1)*CF2BB(K1,I1)+CF2BB(J1,K1)*CF2BB(K1,I1)) . +CSBB(I,J) IF(I.EQ.2.AND.J.EQ.3) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CF2BB(J1,K1)*CA1BB(K1,I1)+CA1BB(J1,K1)*CF2BB(K1,I1)) . +CSBB(I,J) IF(I.EQ.2.AND.J.EQ.4) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CF2BB(J1,K1)*CA2BB(K1,I1)+CA2BB(J1,K1)*CF2BB(K1,I1)) . +CSBB(I,J) IF(I.EQ.3.AND.J.EQ.3) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CA1BB(J1,K1)*CA1BB(K1,I1)+CA1BB(J1,K1)*CA1BB(K1,I1)) . +CSBB(I,J) IF(I.EQ.3.AND.J.EQ.4) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CA1BB(J1,K1)*CA2BB(K1,I1)+CA2BB(J1,K1)*CA1BB(K1,I1)) . +CSBB(I,J) IF(I.EQ.4.AND.J.EQ.4) . CSBB(I,J)=CSB_F*UB3(I1,J1) . *(CA2BB(J1,K1)*CA2BB(K1,I1)+CA2BB(J1,K1)*CA2BB(K1,I1)) . +CSBB(I,J) * ENDDO ! K1 ENDDO ! J1 ENDDO ! I1 * print*,i,j,s,CSTB(I,J) * print*,i,j,s,CSBB(I,J) ENDDO ENDDO CSTB(2,1)=CSTB(1,2) CSTB(3,1)=CSTB(1,3) CSTB(3,2)=CSTB(2,3) CSTB(4,1)=CSTB(1,4) CSTB(4,2)=CSTB(2,4) CSTB(4,3)=CSTB(3,4) CSBB(2,1)=CSBB(1,2) CSBB(3,1)=CSBB(1,3) CSBB(3,2)=CSBB(2,3) CSBB(4,1)=CSBB(1,4) CSBB(4,2)=CSBB(2,4) CSBB(4,3)=CSBB(3,4) *.....The 3nd term of Eq.(B.5) and (B.11) of NPB625(2002)345 : CSTC and CSBC CST_F=3.D0/(64.D0*PI**2)*(CB0_H(S,MSQ_ST2,MSQ_ST2,QST2)+ . CB0_H(S,MSQ_ST1,MSQ_ST1,QST2)- . 2.D0*CB0_H(S,MSQ_ST1,MSQ_ST2,QST2)) CSB_F=3.D0/(64.D0*PI**2)*(CB0_H(S,MSQ_SB2,MSQ_SB2,QSB2)+ . CB0_H(S,MSQ_SB1,MSQ_SB1,QSB2)- . 2.D0*CB0_H(S,MSQ_SB1,MSQ_SB2,QSB2)) DO I=1,4 DO J=I,4 CSTC(I,J)=DCMPLX(0.D0,0.D0) CSBC(I,J)=DCMPLX(0.D0,0.D0) DO I1=1,2 DO J1=1,2 DO K1=1,2 DO L1=1,2 * IF(I.EQ.1.AND.J.EQ.1) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CF1TT(J1,K1)*UT3(K1,L1)*CF1TT(L1,I1)+CSTC(I,J) IF(I.EQ.1.AND.J.EQ.2) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CF1TT(J1,K1)*UT3(K1,L1)*CF2TT(L1,I1)+CSTC(I,J) IF(I.EQ.1.AND.J.EQ.3) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CF1TT(J1,K1)*UT3(K1,L1)*CA1TT(L1,I1)+CSTC(I,J) IF(I.EQ.1.AND.J.EQ.4) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CF1TT(J1,K1)*UT3(K1,L1)*CA2TT(L1,I1)+CSTC(I,J) IF(I.EQ.2.AND.J.EQ.2) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CF2TT(J1,K1)*UT3(K1,L1)*CF2TT(L1,I1)+CSTC(I,J) IF(I.EQ.2.AND.J.EQ.3) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CF2TT(J1,K1)*UT3(K1,L1)*CA1TT(L1,I1)+CSTC(I,J) IF(I.EQ.2.AND.J.EQ.4) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CF2TT(J1,K1)*UT3(K1,L1)*CA2TT(L1,I1)+CSTC(I,J) IF(I.EQ.3.AND.J.EQ.3) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CA1TT(J1,K1)*UT3(K1,L1)*CA1TT(L1,I1)+CSTC(I,J) IF(I.EQ.3.AND.J.EQ.4) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CA1TT(J1,K1)*UT3(K1,L1)*CA2TT(L1,I1)+CSTC(I,J) IF(I.EQ.4.AND.J.EQ.4) . CSTC(I,J)=CST_F . *UT3(I1,J1)*CA2TT(J1,K1)*UT3(K1,L1)*CA2TT(L1,I1)+CSTC(I,J) * IF(I.EQ.1.AND.J.EQ.1) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CF1BB(J1,K1)*UB3(K1,L1)*CF1BB(L1,I1)+CSBC(I,J) IF(I.EQ.1.AND.J.EQ.2) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CF1BB(J1,K1)*UB3(K1,L1)*CF2BB(L1,I1)+CSBC(I,J) IF(I.EQ.1.AND.J.EQ.3) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CF1BB(J1,K1)*UB3(K1,L1)*CA1BB(L1,I1)+CSBC(I,J) IF(I.EQ.1.AND.J.EQ.4) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CF1BB(J1,K1)*UB3(K1,L1)*CA2BB(L1,I1)+CSBC(I,J) IF(I.EQ.2.AND.J.EQ.2) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CF2BB(J1,K1)*UB3(K1,L1)*CF2BB(L1,I1)+CSBC(I,J) IF(I.EQ.2.AND.J.EQ.3) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CF2BB(J1,K1)*UB3(K1,L1)*CA1BB(L1,I1)+CSBC(I,J) IF(I.EQ.2.AND.J.EQ.4) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CF2BB(J1,K1)*UB3(K1,L1)*CA2BB(L1,I1)+CSBC(I,J) IF(I.EQ.3.AND.J.EQ.3) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CA1BB(J1,K1)*UB3(K1,L1)*CA1BB(L1,I1)+CSBC(I,J) IF(I.EQ.3.AND.J.EQ.4) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CA1BB(J1,K1)*UB3(K1,L1)*CA2BB(L1,I1)+CSBC(I,J) IF(I.EQ.4.AND.J.EQ.4) . CSBC(I,J)=CSB_F . *UB3(I1,J1)*CA2BB(J1,K1)*UB3(K1,L1)*CA2BB(L1,I1)+CSBC(I,J) * ENDDO ! L1 ENDDO ! K1 ENDDO ! J1 ENDDO ! I1 * print*,i,j,s,CSTC(I,J) * print*,i,j,s,CSBC(I,J) ENDDO ENDDO CSTC(2,1)=CSTC(1,2) CSTC(3,1)=CSTC(1,3) CSTC(3,2)=CSTC(2,3) CSTC(4,1)=CSTC(1,4) CSTC(4,2)=CSTC(2,4) CSTC(4,3)=CSTC(3,4) CSBC(2,1)=CSBC(1,2) CSBC(3,1)=CSBC(1,3) CSBC(3,2)=CSBC(2,3) CSBC(4,1)=CSBC(1,4) CSBC(4,2)=CSBC(2,4) CSBC(4,3)=CSBC(3,4) *.....Seagull graphs : Eq.(B.6) and (B.11) of NPB625(2002)345 : CSTS and CSBS CST_FP=3.D0/32.D0/PI**2*(A0_H(MSQ_ST2,QST2)+A0_H(MSQ_ST1,QST2)) CST_FM=3.D0/32.D0/PI**2*(A0_H(MSQ_ST2,QST2)-A0_H(MSQ_ST1,QST2)) CSB_FP=3.D0/32.D0/PI**2*(A0_H(MSQ_SB2,QSB2)+A0_H(MSQ_SB1,QSB2)) CSB_FM=3.D0/32.D0/PI**2*(A0_H(MSQ_SB2,QSB2)-A0_H(MSQ_SB1,QSB2)) DO I=1,4 DO J=1,4 CSTS(I,J)=DCMPLX(0.D0,0.D0) CSBS(I,J)=DCMPLX(0.D0,0.D0) ENDDO ENDDO CSTS(1,1)=-CST_FP*(CF1TT(1,1)+CF1TT(2,2))/V1_ST . -CST_FM*(UT3(1,1)*CF1TT(1,1)+UT3(2,2)*CF1TT(2,2))/V1_ST CSTS(2,2)=-CST_FP*(CF2TT(1,1)+CF2TT(2,2))/V2_ST . -CST_FM*(UT3(1,1)*CF2TT(1,1)+UT3(2,2)*CF2TT(2,2))/V2_ST CSTS(3,3)=CSTS(1,1) CSTS(4,4)=CSTS(2,2) * CSBS(1,1)=-CSB_FP*(CF1BB(1,1)+CF1BB(2,2))/V1_SB . -CSB_FM*(UB3(1,1)*CF1BB(1,1)+UB3(2,2)*CF1BB(2,2))/V1_SB CSBS(2,2)=-CSB_FP*(CF2BB(1,1)+CF2BB(2,2))/V2_SB . -CSB_FM*(UB3(1,1)*CF2BB(1,1)+UB3(2,2)*CF2BB(2,2))/V2_SB CSBS(3,3)=CSBS(1,1) CSBS(4,4)=CSBS(2,2) *.....Tadpole graphs: Eq.(B.6) and (B.11) of NPB625(2002)345 : CSTT and CSBT CST_FP=3.D0/32.D0/PI**2*(A0_H(MSQ_ST2,QST2)+A0_H(MSQ_ST1,QST2)) CST_FM=3.D0/32.D0/PI**2*(A0_H(MSQ_ST2,QST2)-A0_H(MSQ_ST1,QST2)) CSB_FP=3.D0/32.D0/PI**2*(A0_H(MSQ_SB2,QSB2)+A0_H(MSQ_SB1,QSB2)) CSB_FM=3.D0/32.D0/PI**2*(A0_H(MSQ_SB2,QSB2)-A0_H(MSQ_SB1,QSB2)) DO I=1,4 DO J=1,4 CSTT(I,J)=DCMPLX(0.D0,0.D0) CSBT(I,J)=DCMPLX(0.D0,0.D0) ENDDO ENDDO CSTT(1,1)=( CST_FP*(CF1TT(1,1)+CF1TT(2,2)) . +CST_FM*(UT3(1,1)*CF1TT(1,1)+UT3(1,2)*CF1TT(2,1) . +UT3(2,1)*CF1TT(1,2)+UT3(2,2)*CF1TT(2,2)) ) . /V1_ST CSTT(2,2)=( CST_FP*(CF2TT(1,1)+CF2TT(2,2)) . +CST_FM*(UT3(1,1)*CF2TT(1,1)+UT3(1,2)*CF2TT(2,1) . +UT3(2,1)*CF2TT(1,2)+UT3(2,2)*CF2TT(2,2)) ) . /V2_ST CSTT(3,3)=CSTT(1,1) CSTT(4,4)=CSTT(2,2) * CSTT(1,4)=( CST_FM*(UT3(1,1)*CA2TT(1,1)+UT3(1,2)*CA2TT(2,1) . +UT3(2,1)*CA2TT(1,2)+UT3(2,2)*CA2TT(2,2)) ) . /V1_ST CSTT(2,3)=-CSTT(1,4) CSTT(3,2)=CSTT(2,3) CSTT(4,1)=CSTT(1,4) * CSBT(1,1)=( CSB_FP*(CF1BB(1,1)+CF1BB(2,2)) . +CSB_FM*(UB3(1,1)*CF1BB(1,1)+UB3(1,2)*CF1BB(2,1) . +UB3(2,1)*CF1BB(1,2)+UB3(2,2)*CF1BB(2,2)) ) . /V1_SB CSBT(2,2)=( CSB_FP*(CF2BB(1,1)+CF2BB(2,2)) . +CSB_FM*(UB3(1,1)*CF2BB(1,1)+UB3(1,2)*CF2BB(2,1) . +UB3(2,1)*CF2BB(1,2)+UB3(2,2)*CF2BB(2,2)) ) . /V2_SB CSBT(3,3)=CSBT(1,1) CSBT(4,4)=CSBT(2,2) * CSBT(1,4)=( CSB_FM*(UB3(1,1)*CA2BB(1,1)+UB3(1,2)*CA2BB(2,1) . +UB3(2,1)*CA2BB(1,2)+UB3(2,2)*CA2BB(2,2)) ) . /V1_SB CSBT(2,3)=-CSBT(1,4) CSBT(3,2)=CSBT(2,3) CSBT(4,1)=CSBT(1,4) * * print*,CSTS(1,1)+CSTT(1,1) * print*,CSTS(1,4)+CSTT(1,4) * print*,CSTS(2,2)+CSTT(2,2) * print*,CSTS(2,3)+CSTT(2,3) * print*,CSTS(3,3)+CSTT(3,3) * print*,CSTS(4,4)+CSTT(4,4) * print*,CSBS(1,1)+CSBT(1,1) * print*,CSBS(1,4)+CSBT(1,4) * print*,CSBS(2,2)+CSBT(2,2) * print*,CSBS(2,3)+CSBT(2,3) * print*,CSBS(3,3)+CSBT(3,3) * print*,CSBS(4,4)+CSBT(4,4) *.....Finally, in the (phi_1, phi_2, a_1, a_2) basis XIST(1)=XI1_ST XIST(2)=XI2_ST XIST(3)=XI1_ST XIST(4)=XI2_ST XISB(1)=XI1_SB XISB(2)=XI2_SB XISB(3)=XI1_SB XISB(4)=XI2_SB DO I=1,4 DO J=1,4 CPI_SQ(I,J)= . (CSTA(I,J)+CSTB(I,J)+CSTC(I,J)+CSTS(I,J)+CSTT(I,J)) . /XIST(I)/XIST(J) . +(CSBA(I,J)+CSBB(I,J)+CSBC(I,J)+CSBS(I,J)+CSBT(I,J)) . /XISB(I)/XISB(J) * print*,i,j,s,cm0_1l(i,j)+cpi_sq(i,j) ENDDO ENDDO *------------------------------------------------------------------------- *CPI_Q at mtpole : Quark-loop contributions to the Neutral Higgs-boson *self-energies. See Eqs. (B.14)(c)+(B.16)(e) of NPB625(2002)345 * *NOTE: The overall minus signs are missing in PI^P in (B.14) * *For the quark masses inside the loop and the t'Hooft scale, we should use *the same conventions for CPI_Q in GET_MASQ. The mixed uses of m_t-pole *and m_t(m_t^pole) will be clarified later <-- ERROR ?? * IF(IFLAG_H(12).EQ.2 .OR. IFLAG_H(12).EQ.5) THEN HBX=HB_MT HTX=HT_MT ELSE HBX=HB HTX=HT ENDIF * DO I=1,4 DO J=1,4 CPI_Q(I,J)=DCMPLX(0.D0,0.D0) CPI_Q(I,J)=DCMPLX(0.D0,0.D0) ENDDO ENDDO * CPI_Q(1,1)=3.D0*HBX**2/16.D0/PI**2 . *(S-4.D0*MBMT_H**2)*CB0_H(S,MBMT_H**2,MBMT_H**2,MTPOLE_H**2) CPI_Q(2,2)=3.D0*HTX**2/16.D0/PI**2 . *(S-4.D0*MTMT_H**2)*CB0_H(S,MTMT_H**2,MTMT_H**2,MTMT_H**2) CPI_Q(3,3)=3.D0*HBX**2/16.D0/PI**2 . *S*CB0_H(S,MBMT_H**2,MBMT_H**2,MTPOLE_H**2) CPI_Q(4,4)=3.D0*HTX**2/16.D0/PI**2 . *S*CB0_H(S,MTPOLE_H**2,MTPOLE_H**2,MTPOLE_H**2) * print*,cpi_q(1,1) * print*,cpi_q(2,2) * print*,cpi_q(3,3) * print*,cpi_q(4,4) * *------------------------------------------------------------------------- * CMNH(I,J) = CM0(I,J)-CM0_1L(I,J)-CPI_SQ(I,J)-CPI_Q(I,J) * in (phi_1, phi_2, a, G) basis: * Rotation from (phi_1, phi_2, a_1, a_2) to (phi_1, phi_2, a, G) needed * for CM0_IL, CPI_SQ, and CPI_Q * (phi_1 phi_2 a_1 a_2)^T = U (phi_1 phi_2 a G)^T * where / 1 0 0 0 \ * U = | 0 1 0 0 | and U^-1 = U * | 0 0 -s c | * \ 0 0 c s / DO I=1,4 DO J=1,4 UROT(I,J) = 0.D0 ENDDO ENDDO UROT(1,1) = 1.D0 UROT(2,2) = 1.D0 UROT(3,3) =-SB_H UROT(4,4) = SB_H UROT(3,4) = CB_H UROT(4,3) = CB_H * DO I=1,4 DO J=1,4 CMNH(I,J) = CM0(I,J) DO I1=1,4 DO J1=1,4 CMNH(I,J) =-UROT(I,I1) . *(CM0_1L(I1,J1)+CPI_SQ(I1,J1)+CPI_Q(I1,J1)) . *UROT(J1,J)+CMNH(I,J) ENDDO ! J1 ENDDO ! I1 * print*,i,j,s,cmnh(i,j) ENDDO ENDDO *------------------------------------------------------------------------- ************************************************************************ RETURN END SUBROUTINE DUMP_HIGGS(NFLAG,IFLAG_H,MCH,HMASS,OMIX) ************************************************************************ * ************************************************************************ IMPLICIT REAL*8(A-H,M,O-Z) * REAL*8 HMASS(3),OMIX(3,3) INTEGER*8 IFLAG_H(NFLAG) *----------------------------------------------------------------------- *+CDE HC_ COMMON BLOCKS: COMMON /HC_SMPARA/ AEM_H,ASMZ_H,MZ_H,SW_H,ME_H,MMU_H,MTAU_H,MDMT_H . ,MSMT_H,MBMT_H,MUMT_H,MCMT_H,MTPOLE_H,GAMW_H . ,GAMZ_H,EEM_H,ASMT_H,CW_H,TW_H,MW_H,GW_H,GP_H . ,V_H,GF_H,MTMT_H * COMMON /HC_RSUSYPARA/ TB_H,CB_H,SB_H,MQ3_H,MU3_H,MD3_H,ML3_H,ME3_H * COMPLEX*16 MU_H,M1_H,M2_H,M3_H,AT_H,AB_H,ATAU_H COMMON /HC_CSUSYPARA/ MU_H,M1_H,M2_H,M3_H,AT_H,AB_H,ATAU_H *----------------------------------------------------------------------- print*,'---------------------------------------------------------' print*,' Masses and Mixing Matrix of Higgs bosons :' print*,' HMASS_H(I) and OMIX_H(A,I)' print*,'---------------------------------------------------------' DO IH=1,3 IF(IFLAG_H(11).EQ.0) WRITE(*,1) IH,HMASS(IH) IF(IFLAG_H(11).EQ.1) WRITE(*,6) IH,HMASS(IH) ENDDO IF(IFLAG_H(11).EQ.0) WRITE(*,2) MCH IF(IFLAG_H(11).EQ.1) WRITE(*,7) MCH print*,' [H1] [H2] [H3]' WRITE(*,3) OMIX(1,1),OMIX(1,2),OMIX(1,3) WRITE(*,4) OMIX(2,1),OMIX(2,2),OMIX(2,3) WRITE(*,5) OMIX(3,1),OMIX(3,2),OMIX(3,3) print*,'---------------------------------------------------------' print*,' ' *----------------------------------------------------------------------- 1 FORMAT(2X,'H',I1,' Pole Mass = ',E10.4,' GeV') 2 FORMAT(2X,'Charged Higgs Pole Mass = ',E10.4,' GeV [SSPARA_H(2)]') 3 FORMAT(2X,' [phi_1] /',3(1X,E10.4,1X),' \\') 4 FORMAT(2X,'O(IA,IH)=[phi_2] |',3(1X,E10.4,1X),' |') 5 FORMAT(2X,' [ a ] \\',3(1X,E10.4,1X),' /') 6 FORMAT(2X,'H',I1,' Eff. Pot. Mass = ',E10.4,' GeV') 7 FORMAT(2X,'C. Higgs Eff. Pot. Mass = ',E10.4,' GeV ') *----------------------------------------------------------------------- RETURN END