Phase I analysis: A study of the simplifed top mass fitter
Phase II analysis: Implementation of the real top mass fitter
Phase III analysis: Implementation of ATLAS specific jet corrections and di-jet mass fitter
Phase IV analysis: Maximum likelihood fitting
Phase V analysis: Branching ratio calculations
Reconstruction of semi-leptonic ttbar events, with the aim of reconstructing the top and W masses.
A simplified chi squared fitter was used to select the best reconstructed ttbar pair for each event.
Other plots: Neutrino pz solutions , top pT with / without chi squared cut, W pT with / without chi squared cut, ttbar pT with / without chi squared cut.
A multi-parameter fitting tool was used to fit a more complex chi squared function to the data.
In the fitting process, measured momenta etc. were allowed to be varied within their experimental resolutions.
The light jet correction, CalibMapJetRaw, provided by the ATLAS Top working group was applied. (See Wiki page)
The Standard Model di-jet mass distribution is shown before / after the corrections were applied.
The fitter was modified, removing the W mass constraint, and introducing a top mass constraint of 175 GeV. This allows the dijet mass to be fitted as a free parameter. (See plots). Interesting issues:
A binned maximum likelihood fit is used to extract the higgs mass from the SM ttbar plus higgs di-jet mass distribution
Until the fitter is working correctly, this is being tested on the un-fitted di-jet mass distribution. Require events with exactly 2 btags in the 4 leading jets. Di-jet is assumed to be the 2 un-tagged leading jets.
Di-jet mass distributions selected by fitter btag info
Test the ML fitter by generating a set of pseudodata. Take the di-jet mass distribution as a template, with Nhiggs, Nw For each pseudodata sample, smear each bin content randomly according to a Poisson distribution.
Extract the number of H+, W using the ML fitter. The fitter provides an error on the calculated numbers. Note, for ML fitting, need to specify the errors in the MINUIT fit, as the default setting does not apply here.
Plot the pull distribution (Nhiggs-NpseudodataH)/Fitter error. This should peak at zero
Find the pull width, i.e. the width (sigma)of the distribution (Nhiggs-NpseudodataH)
Check that the fitter errors are not biassed by considering sigma/Fitter error. This should be a gaussian with a peak at 1 if the fitter is estimating the errors correctly. Plots
Next step is to introduce a non-ttbar background. i.e. W + 4 jets. Have a sample of 14200 events (W->e/mu/tau + nu). As for the H+ and W case, run the analysis code, taking the di-jet to be the two jets that the fitter selects as coming from the W. But work with the un-fitted distribution until the fitter is working properly. Non-ttbar distribution Find that only a small number of events pass the event selection cuts. This plot requires either 1 or 2 btagged jets. Requiring 2 tagged jets resulted in only 17 events passing the cuts
Find that the number of W + Jets events passing the event selection cuts is much lower than for ttH or ttW (0.8% compared with 5.5%). The biggest difference is the number of events passing the jet cut.(Table). Events reaching the jet cut fail mainly because jets are not btagged (Plots).