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Violation in Mixing

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56 The BABAR Experiment<br />

is formed. The good signal resolution <strong>in</strong> the lower range ensures a good determ<strong>in</strong>ation of the tails of the<br />

cluster thus improv<strong>in</strong>g the resolution on the impact po<strong>in</strong>t measurement.<br />

The electronic noise measured is found to vary between � and � electrons ENC (equivalent noise<br />

charge), depend<strong>in</strong>g on the layer and the readout view: this can be compared to the typical energy deposition<br />

for a m<strong>in</strong>imum ioniz<strong>in</strong>g particle at normal <strong>in</strong>cidence, which is equivalent to � � electrons.<br />

Dur<strong>in</strong>g normal runn<strong>in</strong>g conditions, the average occupancy of the ËÎÌ <strong>in</strong> a time w<strong>in</strong>dow of �× is about<br />

for the <strong>in</strong>ner layers, where it is dom<strong>in</strong>ated by mach<strong>in</strong>e backgrounds, and less than for the outer layers,<br />

where noise hits dom<strong>in</strong>ate.<br />

The cluster reconstruction is based on a cluster f<strong>in</strong>d<strong>in</strong>g algorithm: first the charge pulse height of a s<strong>in</strong>gle<br />

pulse is calculated form the ToT value and clusters are formed group<strong>in</strong>g adjacent strips with consistent times.<br />

The position Ü of a cluster formed by Ò strips is evaluated with an algorithm called “head-to-tail” algorithm:<br />

Ü � Ü ÜÒ Ô ÉÒ É<br />

ÉÒ É<br />

where Ü� and É� are the position and the collected charge of i-th strip and Ô is the read-out pitch. This<br />

formula always gives a cluster position with<strong>in</strong> Ô� of the geometrical center of the cluster. The cluster pulse<br />

height is simply the sum of the strip charges, while the cluster time is the average of the signal times.<br />

The ËÎÌ efficiency can be calculated for each half-module by compar<strong>in</strong>g the number of associated hits to<br />

the number of tracks cross<strong>in</strong>g the active area of the half-module. Exclud<strong>in</strong>g defective readout sections (9<br />

over 208), the comb<strong>in</strong>ed hardware and software efficiency is �� (see fig. (2-5)).<br />

The spatial resolution of ËÎÌ hits is calculated by measur<strong>in</strong>g the distance (<strong>in</strong> the plane of the sensor)<br />

between the track trajectory and the hit, us<strong>in</strong>g high-momentum tracks <strong>in</strong> two prong events: the uncerta<strong>in</strong>ty<br />

due to the track trajectory is subtracted from the width of the residual distribution to obta<strong>in</strong> the hit resolution.<br />

The track hit residuals are def<strong>in</strong>ed as the distance between track and hit, projected onto the wafer plane and<br />

along either the � or Þ direction. The width of this residual distribution is then the ËÎÌ hit resolution. Fig.<br />

(2-6) shows the ËÎÌ hit resolution for Þ and � side hits as a function of the track <strong>in</strong>cident angle, for each of<br />

the five layers: the measured resolutions are <strong>in</strong> very good agreement with the Monte Carlo expected ones.<br />

Over the whole ËÎÌ, resolutions are rag<strong>in</strong>g from � �Ñ (<strong>in</strong>ner layers) to � �Ñ (outer layers)<br />

for normal tracks.<br />

For low-momentum tracks (ÔØ � Å�Î� ), the ËÎÌ provides the only particle identification <strong>in</strong>formation.<br />

The measure of the ToT value enables to obta<strong>in</strong> the pulse height and hence the ionization ����Ü: the<br />

value of ToT are converted to pulse height us<strong>in</strong>g a look-up table computed from the pulse shapes. The<br />

double-sided sensors provide up to ten measurements of ����Ü per track: with signals from at least four<br />

sensors, a � truncated mean ����Ü is calculated. For MIPs, the resolution on the truncated mean ����Ü<br />

is approximately � : a � separation between kaons and pions can be achieved up to momentum of<br />

� �� and between kaons and protons beyond ���.<br />

MARCELLA BONA

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