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Violation in Mixing

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7.9 Results 195<br />

Events/2 MeV/c 2<br />

Events/2 MeV/c 2<br />

15<br />

10<br />

5<br />

π + π -<br />

B A B AR<br />

(GeV/c<br />

mES 2 0<br />

5.2 5.3<br />

)<br />

mES 60<br />

40<br />

20<br />

K + π -<br />

B A B AR<br />

(GeV/c<br />

mES 2 0<br />

5.2 5.3<br />

)<br />

mES Events/20 MeV<br />

Events/20 MeV<br />

15<br />

10<br />

5<br />

0<br />

60<br />

40<br />

20<br />

0<br />

π + π -<br />

B A B AR<br />

-0.1 0 0.1<br />

(GeV)<br />

ΔE<br />

K + π -<br />

B A B AR<br />

-0.1 0 0.1<br />

(GeV)<br />

ΔE<br />

Figure 7-18. Distributions of Ñ�Ë and ¡� for samples enhanced <strong>in</strong> signal �� and Ã� decays us<strong>in</strong>g<br />

likelihood ratio cuts. The solid curves represent projections of the maximum likelihood fit result.<br />

Sample �� �� ���<br />

Run 1 � � ¦ � � � ¦ �� � ¦ ��<br />

Run 2 � � ¦ ��� � � ¦ � � ¦ � �<br />

� tags � � ¦ � � ��� ¦ ��� � � ¦ � �<br />

� tags � � ¦ � � �� ¦ ��� � � ¦ ��<br />

no NT tags � � ¦ � � � � ¦ ��� ��� ¦ ��<br />

Table 7-21. Separate fits to Run 1 and Run 2, � and � tags, and the subsample of Lepton and Kaon<br />

tagged events.<br />

aga<strong>in</strong>st tag category, we fit only the Lepton and Kaon categories and f<strong>in</strong>d consistent results, with slightly<br />

larger errors for �� and ��� (as expected).<br />

Figure 7-1 <strong>in</strong>dicates some discrepancy <strong>in</strong> ARGUS shape between different tag categories. S<strong>in</strong>ce we assume<br />

one shape <strong>in</strong> the nom<strong>in</strong>al fit, we have to <strong>in</strong>vestigate the possible systematic effect on the �È parameters by<br />

refitt<strong>in</strong>g the data with different (float<strong>in</strong>g) values of � for each category. Table 7-22 summarizes the results.<br />

The Lepton and NT1 categories are somewhat different than the nom<strong>in</strong>al value, but the �� yield changes<br />

by only � events, and the values of �� and ��� change by only � � and � , respectively. There<br />

appears to be no bias <strong>in</strong> us<strong>in</strong>g an average value of �.<br />

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

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