A Search for charged Higgs in lepton+jets tt-bar events using 2.2 fb-1 of CDF dataGeumbong Yu1, Un-Ki Yang2, Yeonsei Chung1, Arie Bodek1
1 University of Rochester, Rochester, NY 14627, USA
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∴ For MSSM charged Higgs search in top decays at low tan β ≤ 1
This plot represents the upper limits on the B(t → H+ b)
at 95% confidence level. Observed limits from 2.2 fb-1
data (red dot) are compared with the expected limit in the standard model
(black line), no charged Higgs, and they agree pretty well.
Note that the B(H+ → cs-bar) is assumed to be 100%, and
B(t → H+b) + B(t → W+b) = 1 in this study.
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∴ For Model-Independent charged boson search in top decays
This plot represents the upper limits on the branching ratio of top decaying into H+ b at 95% C.L., where H+ denotes an anomalous charged boson.
To cover any generic anomalous charged boson, the search is extended below
W+ mass. The cs-bar channel gives a conservative limit for a charged
boson decaying into light quarks (ud-bar).
Observed limits from data (red dot) are compared with the expected limit in
the standard model (black line), and they agree pretty well.
Note that the B(H+ → cs-bar) is assumed to be 100% and
B(t → H+b) + B(t → W+b) = 1 in this study.
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Introduction |
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We search for an anomalous boson which decays into dijets in top decays as hadronic decaying W does in the SM ttbar
lepton+jets decays. In the MSSM, this channel is predicted for charged Higgs in low tan β around unity. This tree level particles
end up with one lepton, missing Et, and 4 jets in detector. This 4 jets are called leading jet.
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This plot shows how dijet mass distributes in exact 4 jets (left) and with additional jet (right) in ttbar events in simulation.
Each jet is traced back to the mother quark in generate level and identified. Good identification requires
ΔR(jet, quark) less than 0.4, so NoGood4jets means that at least one jet out of final 4 jets is not identified.
Even though we require two b-tagged jets and reconstruct dijet mass with un-tagged jets, there exist b-jet contaminations.
2hjets is both jets are decayed from 120 GeV/c2 Higgs boson. h+blep and h+bhad
means that one jet comes from Higgs but the other jet is actually b-jet. We can clearly see that the real Higgs mass (magenta)
has broader resolution and this is caused by losing energy by final state radiation (FSR) jet from Higgs. Nearly 50% of total events
have one or more extra jets in final state.
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This plot shows how the Higgs mass in >4 jets ttbar events is recorvered by adding nearby FSR-jet (5th) to mother jet (black: use two jets only, red: after adding extra jet to the closest leading jet). We consider the extra jet is a FSR-jet from the closest leading jet if ΔR (extra jet, closest leading jet) is less than 1.0. Note that we use only most eneretic extra jet if there are more than one extra jets. From this procedure, the histogram mean is close to the true mass (120 GeV), 103.3±21.8 GeV to 105.7±20.8 GeV, and the entries in the signal mass window, 100 GeV < M(H+) < 140, increased by 7.4%. (Click here for eps file) |
Background |
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Backgrounds contribution to the dijet mass in top decays. This shape came from the Pythia Monte Carlo for single top and di-boson, Z(ττ)+jets backgrounds, ALPGEN+Pythia Monte Carlo for W+jets backgrounds, and
multi-jet events associated with electron-like objects in data for non-W (QCD) background.
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The number of backgrounds are estimated from Monte Carlo and data for 2.2 fb-1 data. For number of ttbar events estimation, cross section of ttbar is assumed 6.7 pb. The disagreement between total prediction and observation is mostly from the input ttbar cross section. The cross section of ttbar is measured as 8.8 pb requiring two b-jets in lepton + jets channel. |
A Binned Likelihood Function |
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A binned likelihood function is constructed using the probabilities, PiW, PiH, and Pibkg, from mass templates. Fit parameters are Nttbar, Br(t→H+b), and Nbkg. The number of backgrounds are well-known, so it is Gaussian constrained in the fitter. The acceptances of W+ (Aw) and H+ (Ah) are calculated from Pythia Monte Carlo simulation. |
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A template consists of H+ mass, W+ mass, and non-ttbar backgrounds shape.
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Mass templates : H+ mass distribution (60 GeV/c2 to 150 GeV/c2) compared to the W+ mass.
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The likelihood shape is plotted as a function of Br(t→H+b). Only for the positive side (physical) branching ratio,
the likelihood value is integrated up to 95% of total area. Then the projection onto branching ratio axis is set to the upper limit
on the Br(t→H+b) at 95% Confidence Level of this likelihood fit.
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Upper limit branching ratio using null-Higgs pseudo experiments. No systematic uncertainty is considered in the limit.
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Systematic Uncertainty |
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Output branching ratio shift due to each systematic, Δ Br(t→H+b), is set to systematic uncertainty. That uncertainty is fitted as a
linear function of input Br(t→H+b). This plot shows the individual systematic uncertainty.
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Overall systematic uncertainty is calculated by square-root-sum of individual systematic uncertainties above. This uncertainty is put as an width of Gaussian for likelihood smearing.
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Likelihood marginalization. The systematic uncertainty (Δ(x')) in each
input branching ratio (x') is put as a width of Gaussian to smear the likelihood value at x'.
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From the first likelihood fit, red likelihood shape is on hand. After smearing the likelihood shape with the systematic
uncertainties in the Gaussian (See the Gaussian formula above ↑)
the likelihood is smeared out to the black distribution. The upper limit on the Br(t→H+b) @ 95% C.L. is
increased (red→black) accordingly.
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After likelihood smearing with systematic uncertainties, the uppre limit Br(t→H+b) @ 95% C.L. is increased.
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Data Di-jet Mass Distribution |
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Di-jet mass distribution. Monte Carlo normalization is from likelihood fit on data forcing Br(t→H+b) to be 0.
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Di-jet mass distribution with 120 GeV/c2 Higgs events assuming
Br(t→H+b) = 0.1. That size of Higgs signal corresponds to the
expected upper limit branching ratio @ 95% C.L. for 120 GeV/c2.
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Validation plot for Δ R (5th jet, the closest leading jet) and ttbar reconstruction chi-square distrubution.
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Likelihood Fit on data |
Here are the actual likelihood fits result on data with each Higgs mass template.
mh60 fit result (eps green) |
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mh70 fit result (eps green) |
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Study on H+ → ud-bar |
We study that how the other decay channel would affect the upper limits
on B(t → H+(→ cs-bar) b). Considering any generic
charged bosons X, X → ud-bar is also possible decay channel. For
this study, we generated Pythia Monte Carlo with X → ud-bar in top
decays for 60, 100, 120 GeV X. The resolution of ud-bar invariant mass
is narrower than the cs-bar invariant mass as compaired below, so that
the using ud-bar mass template gives a better upper limits.
However, we take the conservative limits using
cs-bar invariant mass, which is shown top of this page.
(Click for eps page. To enlarge the gif plot, use "View Image")