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2011 QCD and High Energy Interactions - Rencontres de Moriond ...

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Events / 0.1<br />

600<br />

500<br />

400<br />

300<br />

200<br />

100<br />

f L<br />

R f<br />

f 0 EWK<br />

fit result data<br />

CMS, s = 7 TeV<br />

-1<br />

L int = 36 pb<br />

0<br />

0 0.2 0.4 0.6 0.8 1 1.2<br />

- L ( μ )<br />

P<br />

Events / 0.1<br />

600<br />

500<br />

400<br />

300<br />

200<br />

100<br />

f L<br />

R f<br />

f 0 EWK<br />

fit result data<br />

CMS, s = 7 TeV<br />

-1<br />

L int = 36 pb<br />

0<br />

0 0.2 0.4 0.6 0.8 1 1.2<br />

L ( μ+<br />

)<br />

Figure 3: Fit results for the LP (µ − ) (left) <strong>and</strong> LP (µ + ) (right) distributions. The left-h<strong>and</strong>ed, right-h<strong>and</strong>ed <strong>and</strong><br />

longitudinal W components, with normalization as <strong>de</strong>termined by the fit, are represented by the dashed, dotted,<br />

<strong>and</strong> dash-dotted lines respectively. The sha<strong>de</strong>d distribution shows the backgrounds. The solid line represents the<br />

sum of all individual components, <strong>and</strong> can be directly compared with the data distribution (circles).<br />

of the W boson in the helicity frame, where the polar angle (θ∗ ) of the charged lepton from the<br />

<strong>de</strong>cay in the W rest frame is measured with respect to the boson flight direction in the laboratory<br />

frame. However, the inability to <strong>de</strong>termine the momentum of the neutrino along the beam axis<br />

introduces a two-fold ambiguity in the <strong>de</strong>termination of the momentum of the W boson. To<br />

overcome this ambiguity the lepton projection variable, LP = pT (ℓ) · pT (W)/|pT (W)| 2 , which<br />

exhibits a strong correlation with cos θ∗ , is used. The fractions of left-h<strong>and</strong>ed, right-h<strong>and</strong>ed,<br />

<strong>and</strong> longitudinal W bosons (fL, fR <strong>and</strong> f0, respectively) are measured using a binned maximum<br />

likelihood fit to the LP variable, separately for W + <strong>and</strong> W− bosons in the electron <strong>and</strong> muon<br />

final states. The LP distribution for each of the three polarization states of the W boson is<br />

extracted from Monte Carlo samples which are reweighted to the angular distributions expected<br />

from each polarization state in the W boson center-of-mass frame. The LP distributions for<br />

muons are shown in Figs. 3. Also shown are the results of the fit to the individual components<br />

corresponding to the three W polarization states, <strong>and</strong> to the background. The results from<br />

W → eν <strong>and</strong> W → µν are consistent. The muon fit result yields the most precise measurement,<br />

(fL − fR) − = 0.240 ± 0.036 (stat.) ± 0.031 (syst.) <strong>and</strong> f − 0 = 0.183 ± 0.087 (stat.) ± 0.123 (syst.)<br />

for negatively charged W bosons, <strong>and</strong> (fL − fR) + = 0.310 ± 0.036 (stat.) ± 0.017 (syst.) <strong>and</strong><br />

f + 0<br />

= 0.171 ± 0.085 (stat.) ± 0.099 (syst.) for positively charged W bosons. This measurement<br />

establishes a difference between the left-h<strong>and</strong>ed <strong>and</strong> right-h<strong>and</strong>ed polarization parameters with a<br />

significance of 7.8 st<strong>and</strong>ard <strong>de</strong>viations for W + bosons <strong>and</strong> 5.1 st<strong>and</strong>ard <strong>de</strong>viations for W − bosons.<br />

4 Observation of Z +b<br />

This final state is important at the LHC, both as a benchmark channel to the production of<br />

the Higgs boson in association with b-quarks, <strong>and</strong> as a St<strong>and</strong>ard Mo<strong>de</strong>l background to Higgs<br />

<strong>and</strong> new physics searches in final states with leptons <strong>and</strong> b-jets. In this analysis both electrons<br />

(muons) of the Z c<strong>and</strong>idate are required to have pT > 25 (20) GeV. Jets with pT > 25 GeV are<br />

searched for the presence of a secondary vertex <strong>and</strong> a b-tagging discriminant variable is built<br />

from the three-dimensional flight distance from the primary vertex to the chosen secondary<br />

vertex. We used both an high-efficiency (HE) <strong>and</strong> an high-purity (HP) selection, where at<br />

least two (three) tracks are required to be attached to the secondary vertex, respectively. To<br />

extract the purity P in b-jets, the b-tagging discriminant variable <strong>and</strong> the mass of the secondary<br />

vertex are fitted using a binned likelihood method. The purity in b-jets is found to be 55 ± 9 %<br />

(88 ± 11 %) for the HE (HP) selection, in good agreement with the MC estimate of 57 ± 3 %<br />

(82 ± 4 %). Figure 4 shows the di-lepton mass <strong>and</strong> secondary vertex mass of events surviving<br />

P

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