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Violation in Mixing

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3.3 Studies on data 87<br />

0.504<br />

0.502<br />

0.5<br />

0.498<br />

0.496<br />

0.494<br />

observed Ks candidate masses<br />

0.492<br />

0 1 2 3 4 5 6<br />

ks momentum (GeV)<br />

0.008<br />

0.007<br />

0.006<br />

0.005<br />

0.004<br />

0.003<br />

0.002<br />

0.001<br />

observed Ks candidate mass resolution<br />

0<br />

0 1 2 3 4 5 6<br />

ks momentum (GeV)<br />

0.504<br />

0.502<br />

0.5<br />

0.498<br />

0.496<br />

0.494<br />

observed Ks candidate masses<br />

0.492<br />

0 1 2 3 4 5 6<br />

ks momentum (GeV)<br />

0.008<br />

0.007<br />

0.006<br />

0.005<br />

0.004<br />

0.003<br />

0.002<br />

0.001<br />

observed Ks candidate mass resolution<br />

0<br />

0 1 2 3 4 5 6<br />

ks momentum (GeV)<br />

Figure 3-7. Top plots: <strong>in</strong>variant mass as function of the reconstructed momentum of the Ã Ë <strong>in</strong> block 1 (left)<br />

and <strong>in</strong> block 2 (right). Bottom plots: <strong>in</strong>variant mass resolution as function of the reconstructed momentum of<br />

the Ã Ë <strong>in</strong> block 1 (left) and <strong>in</strong> block 2 (right). The on-resonance data-Monte Carlo comparison is presented:<br />

the empty dots come from the Monte Carlo sample and the black po<strong>in</strong>ts come from the on resonance data.<br />

At the same way, we can look at the efficiency as function of both �Ö and the reconstructed momentum of<br />

the Ã Ë : see Fig. 3-10.<br />

To f<strong>in</strong>d out what is caus<strong>in</strong>g the drop between � and � cm <strong>in</strong> the efficiency as function of the decay length,<br />

the same study has been done us<strong>in</strong>g a �Ö value taken from the Monte Carlo truth. The figure (3-11) shows<br />

two gaps: the first between 2 and 3 cm that is the same we see <strong>in</strong> data and Monte Carlo without us<strong>in</strong>g the true<br />

�Ö, while the second is between 12 and 15 cm due to a the Monte Carlo association fail<strong>in</strong>g <strong>in</strong> that region.<br />

This result shows that the vertex<strong>in</strong>g is not <strong>in</strong>troduc<strong>in</strong>g this gap <strong>in</strong> the efficiency shape.<br />

In order to check the momentum dependence of the efficiency the shape of the Ã Ë momentum <strong>in</strong> �� events<br />

has been checked: figure (3-12) shows a nice agreement between �� from data and from Monte Carlo <strong>in</strong><br />

the Ã Ë reconstructed momentum. The Ã Ë momentum <strong>in</strong> �� events <strong>in</strong> data is obta<strong>in</strong>ed from a side-band<br />

subtraction and then an off-resonance subtraction from the on-resonance distribution.<br />

Ã Ë RECONSTRUCTION AND EFFICIENCY STUDIES

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