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

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Appendix B<br />

Comparison <strong>of</strong> muon curvature <strong>in</strong><br />

cosmic events<br />

Figure B.1 shows <strong>the</strong> signed <strong>in</strong>verse momentum, i.e. , curvature <strong>of</strong> muon spec-<br />

trometer tracks <strong>in</strong> b<strong>in</strong>s <strong>of</strong> <strong>the</strong> momentum <strong>of</strong> <strong>in</strong>ner detector tracks that have been<br />

matched to <strong>the</strong> spectrometer tracks. The criteria used for track selection <strong>in</strong> <strong>the</strong> MS<br />

and <strong>the</strong> ID as well as for <strong>the</strong> match<strong>in</strong>g were described <strong>in</strong> Section 6.2.5.<br />

If <strong>the</strong> ID and <strong>the</strong> MS measured exactly <strong>the</strong> same momentum for a track, each<br />

histogram would have two peaks <strong>of</strong> identical shape symmetrically on each side <strong>of</strong> q/P<br />

= 0. This is not seen to be not <strong>the</strong> case: events migrate to b<strong>in</strong>s above and below<br />

those that correspond to PID = PMS. Moreover, as <strong>the</strong> track momentum <strong>in</strong>creases,<br />

we see a correspond<strong>in</strong>g <strong>in</strong>crease <strong>in</strong> <strong>the</strong> fraction <strong>of</strong> tracks that migrate out <strong>of</strong> b<strong>in</strong>. In<br />

particular, for PID > 120 GeV, a significant fraction <strong>of</strong> tracks migrate to higher<br />

momentum (i.e. , lower curvature) b<strong>in</strong>s. This effect is most pronounced <strong>in</strong> <strong>the</strong> [400,<br />

1000] GeV b<strong>in</strong> (lower right plot <strong>in</strong> Figure B.1).<br />

The observed migration is believed ma<strong>in</strong>ly to be due to misalignments <strong>in</strong> both<br />

<strong>the</strong> ID and <strong>the</strong> MS, and <strong>in</strong> particular due to relative misalignment between <strong>the</strong> two<br />

systems. It po<strong>in</strong>ts to <strong>the</strong> need for more precise alignment with<strong>in</strong> and between <strong>the</strong><br />

248

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