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Violation in Mixing

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5.4 Background Suppression and PDF Parameterization 129<br />

number of events / 0.0025 GeV<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

offresonance grand side band<br />

ALLCHAN 1708.<br />

26.86 / 34<br />

P1 109.9 6.089<br />

P2 21.02 2.697<br />

0<br />

5.2 5.22 5.24 5.26 5.28 5.3<br />

energy substituted B mass (GeV)<br />

number of events / 0.0025 GeV<br />

100<br />

80<br />

60<br />

40<br />

20<br />

cont<strong>in</strong>uum MC side band<br />

ALLCHAN 2634.<br />

32.25 / 34<br />

P1 176.3 7.619<br />

P2 22.96 2.106<br />

0<br />

5.2 5.22 5.24 5.26 5.28 5.3<br />

energy substituted B mass (GeV)<br />

Figure 5-10. ARGUS fits to the Ñ�Ë distribution for the grand side-band region <strong>in</strong> off-resonance (left)<br />

and cont<strong>in</strong>uum Monte Carlo (right). For off-resonance sample the different Ô × value has been compensated<br />

add<strong>in</strong>g a constant shift to the Ñ�Ë values <strong>in</strong> order to have the same ÑÑ�Ü.<br />

The Fisher distribution <strong>in</strong> on-resonance Ñ�Ë side-band has been validated aga<strong>in</strong>st cont<strong>in</strong>uum MC and offresonance<br />

data, both <strong>in</strong> the entire signal band and <strong>in</strong> the Ñ�Ë side-band. Figure 5-11 shows comparisons<br />

of the Fisher variable <strong>in</strong> on-resonance data with cont<strong>in</strong>uum Monte Carlo and off-resonance data <strong>in</strong> the Ñ�Ë<br />

side-band.<br />

Figure 5-12 shows the parameterization for background events and signal Monte Carlo events respectively.<br />

Left plot shows also the separation power of the Fisher variable and the good agreement between Fisher<br />

variable evaluated <strong>in</strong> signal Ã Ë � MC events and signal � � MC events. Therefore, the Fisher variable<br />

distribution from � � control sample will be used as a systematic check for the signal Fisher distribution<br />

<strong>in</strong>cluded <strong>in</strong> the likelihood fit.<br />

5.4.4 Particle ID Selection<br />

We use the measured (� ) m<strong>in</strong>us expected (� �ÜÔ ) � ��Ö�Ò�ÓÚ angle for the charged pion or kaon to separate<br />

the two signal modes on a statistical basis. The distribution of � � �ÜÔ is parameterized by a central<br />

Gaussian plus a satellite Gaussian that accounts for the few percent of tracks that are mis-reconstructed. A<br />

detailed description of the DIRC PDF’s can be found <strong>in</strong> Sec. 4.4. To have a clean sample of tracks with well<br />

measured � we require the already described particle ID (or PID) cuts: � � , number of signal photons<br />

� � and proton veto � � Ô � ÑÖ�� where � Ô is the expected � ��Ö�Ò�ÓÚ angle for a proton with<br />

the given momentum.<br />

MEASUREMENT OF BRANCHING FRACTIONS FOR � ¦ � Ã � ¦ DECAYS

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