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

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Chapter 8: Properties <strong>of</strong> Z <strong>boson</strong>s and measurement <strong>of</strong> Z → µµ <strong>cross</strong>-<strong>section</strong> 228<br />

Entries<br />

160<br />

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Data 2010( s = 7 TeV)<br />

Z → µ µ<br />

-1<br />

∫L<br />

dt = 331 nb<br />

0<br />

0 2 4 6 8 10 12 14 16<br />

SCT hits/track<br />

Entries<br />

25 Data 2010( s = 7 TeV)<br />

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Z → µ µ<br />

-1<br />

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TRT hits/track<br />

Figure 8.5: SCT (left) and TRT (right) hits on <strong>in</strong>ner detector tracks matched to<br />

muon spectrometer tracks for signal Monte Carlo and data after <strong>the</strong> full Z selection.<br />

outside <strong>the</strong> band, but very few with<strong>in</strong> <strong>the</strong> band.<br />

Figure 8.8 (left) shows <strong>the</strong> track isolation ratio versus muon pT , <strong>in</strong> which all Z<br />

cuts have been applied except <strong>the</strong> isolation cut. Figure 8.8 (right) shows <strong>the</strong> dimuon<br />

<strong>in</strong>variant mass distribution from data and Monte Carlo after <strong>the</strong> Z selection.<br />

Figure 8.9 shows <strong>the</strong> dimuon <strong>in</strong>variant mass distribution for signal Monte Carlo<br />

and data separately for events <strong>in</strong> which both muons are <strong>in</strong> <strong>the</strong> barrel, both <strong>in</strong> <strong>the</strong><br />

endcap, and one muon <strong>in</strong> <strong>the</strong> barrel and one <strong>in</strong> <strong>the</strong> endcap.<br />

Figure 8.10 shows <strong>the</strong> pT and rapidity distributions <strong>of</strong> <strong>the</strong> Z <strong>boson</strong>s.<br />

8.1.2 Fitt<strong>in</strong>g <strong>the</strong> Z peak and extraction <strong>of</strong> Z mass resolution<br />

Figure 8.11 shows an unb<strong>in</strong>ned fit to <strong>the</strong> dimuon <strong>in</strong>variant mass spectrum <strong>in</strong> data.<br />

The fitt<strong>in</strong>g function is a <strong>the</strong>oretical l<strong>in</strong>eshape which <strong>in</strong>cludes both Z and virtual<br />

photon contributions to <strong>the</strong> Drell-Yan production, convolved with a Gaussian function

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