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Violation in Mixing

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7.8 Validation studies 187<br />

100<br />

75<br />

50<br />

25<br />

ID<br />

Entries<br />

Mean<br />

RMS<br />

0<br />

0 0.5 1 1.5 2 2.5<br />

σ(S ππ )<br />

100<br />

695<br />

0.7430<br />

0.2378<br />

150<br />

100<br />

50<br />

ID<br />

Entries<br />

Mean<br />

RMS<br />

0<br />

0 0.5 1 1.5 2 2.5<br />

σ(C ππ )<br />

Figure 7-12. Error distributions for Ë �� (left) and ��� (right) <strong>in</strong> ��� toy experiments generated with<br />

fb equivalent lum<strong>in</strong>osity.<br />

ΔE (GeV)<br />

0.2<br />

0.1<br />

0<br />

-0.1<br />

-0.2<br />

B 0 →π + π -<br />

B 0 →K + π -<br />

101<br />

695<br />

0.5167<br />

0.1371<br />

2 3 4<br />

Lab momentum (GeV/c)<br />

Figure 7-13. Correlation plots of track momentum vs. polar angle (left), between the polar angles of the<br />

two tracks (middle) <strong>in</strong> signal �� Monte Carlo and between ¡� and momentum for �� (upper band) and Ã�<br />

(lower band) decays (right). The shift <strong>in</strong> � is momentum dependent due to the boost.<br />

ANALYSIS OF THE TIME-DEPENDENT �È -VIOLATING ASYMMETRY IN � � � � DECAYS

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