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Violation in Mixing

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180 Analysis of the time-dependent �È -violat<strong>in</strong>g asymmetry <strong>in</strong> � � � � decays<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

27.78 / 17<br />

P1 22.49 1.968<br />

P2 -0.9736E-02 0.2493E-02<br />

P3 0.2024E-01 0.2116E-02<br />

P4 3.900 0.000<br />

P5 0.000 0.000<br />

P6 0.3500E-01 0.000<br />

0<br />

-0.2 -0.15 -0.1 -0.05 0<br />

ΔE SMSl<br />

0.05 0.1 0.15 0.2<br />

160<br />

140<br />

120<br />

100<br />

80<br />

60<br />

40<br />

20<br />

23.60 / 18<br />

P1 110.3 4.129<br />

P2 -0.5636E-02 0.8089E-03<br />

P3 0.1946E-01 0.6985E-03<br />

P4 6.900 0.000<br />

P5 0.000 0.000<br />

P6 0.3500E-01 0.000<br />

0<br />

-0.2 -0.15 -0.1 -0.05 0<br />

ΔE SMSl<br />

0.05 0.1 0.15 0.2<br />

Figure 7-6. Distributions of ¡� for � � � � decays <strong>in</strong> Run 2 (left) and Run 1 + 2 (right).<br />

Variable Sig Func Sig Params Bkg Func Bkg Params<br />

Ñ�Ë Gaussian � ��� � ��Î� ARGUS �; free<br />

� � ����<br />

¡� Gaussian � � �Å�Î quadratic ¡�Ô , ¡�Ô ; free<br />

� � �Å�Î<br />

� Gaussian � � � ��� double Gaussian �� , �� , �� ,<br />

� � � �� �� ,�� ; free<br />

� pulls Gaussian � � ���Ô same as Sig same as Sig<br />

� �<br />

Table 7-11. Summary of PDFs for Ñ�Ë, ¡�, �, and � . The � ��Ö�Ò�ÓÚ angle offsets and resolutions are<br />

functions of track polar angle �.<br />

and resolution parameterizations for Run 2 data (Run 1 parameterizations were given <strong>in</strong> Sec. 4.6.5). The<br />

global features are similar, with more centered offsets and somewhat better resolution <strong>in</strong> Run 2. We use<br />

separate parameterizations for the different datasets. Right plots <strong>in</strong> Fig. 7-8 show example pull distributions<br />

for Run 2. The “satellite” peaks observed <strong>in</strong> Run 1 appear to be absent <strong>in</strong> Run 2. Table 7-11 summarizes the<br />

parameterization of the non-¡Ø PDFs.<br />

The signal ¡Ø PDF depends on the flavor and category of the tag side. The functional form for the ��<br />

component is given by Eqs. 7.7 and 7.8, where the resolution function Ê×�� is def<strong>in</strong>ed <strong>in</strong> Table 7-10. We fit<br />

MARCELLA BONA

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