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

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Chapter 6: Event Selection 167<br />

with multiple hits <strong>in</strong> <strong>the</strong> same layer.<br />

We note that, <strong>in</strong> <strong>the</strong> peak region, <strong>the</strong> data is systematically shifted toward lower<br />

number <strong>of</strong> hits compared to Monte Carlo. This is primarily due to misalignment<br />

among <strong>the</strong> MDT stations that is not taken <strong>in</strong>to account <strong>in</strong> <strong>the</strong> simulation. The<br />

misalignment can result <strong>in</strong> some MDT hits not be<strong>in</strong>g assigned to a track, thus shift<strong>in</strong>g<br />

<strong>the</strong> hit spectrum toward lower values.<br />

Figure 6.3 shows <strong>the</strong> number <strong>of</strong> RPC η and φ hits per track. S<strong>in</strong>ce <strong>the</strong>re are 3<br />

RPC stations, and each station has 2 readouts <strong>in</strong> η and 2 <strong>in</strong> φ, 6 hits are expected<br />

<strong>in</strong> each coord<strong>in</strong>ate for a track that traverses all three RPC stations. This is where<br />

<strong>the</strong> peak occurs <strong>in</strong> each coord<strong>in</strong>ate. Tracks with more than 6 hits <strong>in</strong> η or φ have<br />

gone through <strong>the</strong> overlap region between adjacent sectors. In both coord<strong>in</strong>ates, we<br />

see good agreement between data and Monte Carlo. We note that <strong>the</strong> 0-hit b<strong>in</strong> is<br />

due to tracks <strong>in</strong> <strong>the</strong> endcap which are not expected to traverse <strong>the</strong> RPCs.<br />

Figure 6.4 shows <strong>the</strong> number <strong>of</strong> TGC η and φ hits per track. The expected number<br />

<strong>of</strong> hits per track <strong>in</strong> each <strong>of</strong> <strong>the</strong> η and φ coord<strong>in</strong>ates is determ<strong>in</strong>ed by <strong>the</strong> arrangement<br />

<strong>of</strong> doublet and triplet gas gap configurations, as described <strong>in</strong> [15] (see also Figures<br />

1-20 and 4-30 <strong>in</strong> [15]). In Figure 6.4, we see that <strong>the</strong> data is significantly above <strong>the</strong><br />

Monte Carlo expectation <strong>in</strong> some b<strong>in</strong>s. For <strong>the</strong> η coord<strong>in</strong>ate, we see this discrepancy<br />

<strong>in</strong> <strong>the</strong> 1-, 5- and 15-hit b<strong>in</strong>s, while for <strong>the</strong> φ coord<strong>in</strong>ate this is <strong>the</strong> case <strong>in</strong> several b<strong>in</strong>s.<br />

The discrepancy is expla<strong>in</strong>ed by <strong>cross</strong>-talk between neighbor<strong>in</strong>g readout channels. In<br />

Monte Carlo, <strong>the</strong> amount <strong>of</strong> <strong>cross</strong>-talk is determ<strong>in</strong>ed by a parameter that must be<br />

adjusted such that <strong>the</strong> Monte Carlo hit distribution agrees with that <strong>in</strong> data. This<br />

adjustment has not been done <strong>in</strong> <strong>the</strong> Monte Carlo samples we use, so that some

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