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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> 234<br />

8.2 Cross-<strong>section</strong> measurement<br />

From <strong>the</strong> analysis described <strong>in</strong> this <strong>the</strong>sis, us<strong>in</strong>g 331 nb −1 <strong>of</strong> data, we expect<br />

120.1 ± 15.3 events and observe 109. The result<strong>in</strong>g total and fiducial Z/γ ∗ → µ + µ −<br />

<strong>cross</strong>-<strong>section</strong>s are extracted us<strong>in</strong>g Eq. 6.2, and are reported <strong>in</strong> table 8.4 [95].<br />

σZ/γ ∗ × BR(Z/γ∗ → µ + µ − ) 0.87 ± 0.08 (stat) ± 0.05 (sys) ± 0.10 (lum) nb.<br />

σ fid<br />

Z/γ ∗ × BR(Z/γ ∗ → µ + µ − ) 0.43 ± 0.04 (stat) ± 0.02 (sys) ± 0.05 (lum) nb.<br />

Table 8.4: Measured values <strong>of</strong> <strong>the</strong> total and fiducial Z → µµ <strong>cross</strong>-<strong>section</strong>, <strong>in</strong>clud<strong>in</strong>g<br />

statistical, systematic and lum<strong>in</strong>osity errors.<br />

We see that, even with <strong>the</strong> low statistics used <strong>in</strong> this measurement, <strong>the</strong> uncerta<strong>in</strong>-<br />

ties <strong>in</strong> <strong>the</strong> <strong>cross</strong>-<strong>section</strong> values are dom<strong>in</strong>ated by systematics. The 11% uncerta<strong>in</strong>ty<br />

from <strong>the</strong> lum<strong>in</strong>osity measurement comes primarily from <strong>the</strong> uncerta<strong>in</strong>ty <strong>in</strong> <strong>the</strong> beam<br />

current measurement 3. With <strong>the</strong> latest Van der Meer calibration (as <strong>of</strong> October<br />

14, 2010), <strong>the</strong> lum<strong>in</strong>osity uncerta<strong>in</strong>ty is expected to decrease to 5-10% [69]. The ex-<br />

perimental uncerta<strong>in</strong>ties will improve as we collect more data and use <strong>the</strong> tag-probe<br />

approach to measure <strong>the</strong> various efficiencies.

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