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Measurement of the Z boson cross-section in - Harvard University ...

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Chapter 7: Background Estimation 210<br />

Entries/5 GeV<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Data 2010 (<br />

-1<br />

∫L<br />

dt = 331 nb<br />

s=7<br />

TeV)<br />

0<br />

30 40 50 60 70 80 90 100 110 120<br />

[GeV]<br />

Figure 7.1: Dimuon <strong>in</strong>variant mass distribution <strong>in</strong> data after <strong>the</strong> high-pT event selection<br />

criteria and <strong>the</strong> requirement <strong>of</strong> at least two comb<strong>in</strong>ed muons <strong>in</strong> <strong>the</strong> event, both<br />

pass<strong>in</strong>g <strong>the</strong> |z0 − zvtx| cut.<br />

<strong>the</strong> dimuon <strong>in</strong>variant mass distribution has <strong>the</strong> same shape for both isolated and non-<br />

isolated muons from QCD sources, we can determ<strong>in</strong>e <strong>the</strong> fractions <strong>in</strong> which <strong>the</strong> two<br />

templates must be comb<strong>in</strong>ed to reproduce <strong>the</strong> data. Multiply<strong>in</strong>g <strong>the</strong> QCD fraction<br />

by <strong>the</strong> number <strong>of</strong> events <strong>in</strong> <strong>the</strong> QCD template <strong>the</strong>n yields <strong>the</strong> QCD contam<strong>in</strong>ation <strong>in</strong><br />

data.<br />

Fit<br />

Figure 7.2 shows <strong>the</strong> dimuon <strong>in</strong>variant mass spectra for isolated and non-isolated<br />

muons from b ¯ b and c¯c Monte Carlo. Note that, <strong>in</strong> order to obta<strong>in</strong> sufficient statistics<br />

for <strong>the</strong> <strong>in</strong>variant mass distribution <strong>of</strong> isolated muons, we loosened <strong>the</strong> pT cut on <strong>the</strong><br />

muons to 15 GeV. We still have limited statistics for isolated muons, but <strong>the</strong> general<br />

shapes <strong>of</strong> <strong>the</strong> two distributions are close enough that <strong>the</strong> above assumption is justified.<br />

mµ<br />

µ

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