Violation in Mixing

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190 Analysis of the time-dependent �È -violating asymmetry in � � � � decays Fit # Æ�� ÆÃ� Ë�� 1 �� ¦ � � �� ¦ �� 2 � � �� ¦ �� ¦ �� 3 � � � ¦ �� ¦ �� 4 � � � � ¦ �� ¦ �� 5 � �� ¦ �� ¦ �� 6 �� ¦ � � � ¦ �� 7 �� ¦ � � � ¦ �� 8 �� ¦ � � �� ¦ �� 9 � �� ¦ � � � � ¦ �� 10 � �� ¦ �� ¦ �� Average �� Ë�� Table 7-16. A set of ten �È fits on �� fb equivalent continuum Monte Carlo with the correct proportion of �� and Ã� signal. The asymmetry input values are Ë �� and �� . 7.8.4 Branching fraction fits Having validated the analysis on toy and fully simulated Monte Carlo events, we fit without ¡Ø to validate the branching fraction portion of the likelihood. Table 7-17 summarizes fits to the Run 1, Run 2, and combined samples. The yields for both Run 1 and Run 2 are consistent with the PRL branching fractions, and the background parameters for Ñ�Ë, ¡�, and � are consistent between the two datasets. To evaluate the effect of floating the background PDF parameters we also show a fit where the parameters are fixed to theÕvalues obtained from the floating fit. The contribution to the error on the �� yield can be estimated as �Ó�Ø � ¬Ü � �� events, which is significantly less than the systematic error derived from the conservative procedure used for the PRL analysis. 7.8.5 Lifetime and mixing fits As a cross-check on the signal and background ¡Ø parameterizations we perform �È blind fits to the lifetime �, mixing frequency ¡Ñ�� , and �È asymmetries in Run 1 and Run 2 data. When fitting only � and ¡Ñ�� we fix Ë�� in order to be insensitive to �È asymmetry. For the �È fit we blind by adding a random offset between ¦� and randomly flipping the sign of the asymmetries. Table 7-18 summarizes the fit results. We obtain values of � and ¡Ñ�� consistent with the PDG and fitting for these parameters does not significantly change the yields. Table 7-19 summarizes fits floating �, ¡Ñ�� , and the blinded �È asymmetries Ë�� and ��. Again, all results for � and ¡Ñ�� are consistent with the PDG. MARCELLA BONA
7.8 Validation studies 191 Parameter Run 1 Run 2 Run 1 + 2 Run 1 + 2 Æ�� ¦ �� ¦ �� ¦ �� ¦ � ÆÃ� �� ¦ �� ¦ � �� ¦ �� ¦ �� Ã� � � ¦ � � � � ¦ � � � � ¦ � �� ¦ � �� ÆÃÃ �� ¦ �� ¦ �� ¦ �� ¦ �� Æ�� ¦ � � �� ¦ � � �� ¦ � �� ¦ � �� Æ�Ã� �� ¦ �� ¦ �� ¦ �� ¦ �� Ã� � ¦ � � � � ¦ � � � � ¦ � � � ¦ � Æ�ÃÃ �� ¦ � �� ¦ �� ¦ �� ¦ �� ¦ �� ¦ � � ¦ � � (fixed) ¡�Ô � �� ¦ � �� ¦ � � � ¦ � � � (fixed) ¡�Ô �� ¦ �� ¦ �� ¦ �� (fixed) �� ¦ � �� ¦ � � �� ¦ � � � �� (fixed) �� ¦ � � � �� ¦ � � ¦ � � (fixed) �� ¦ � � � � ¦ � � �� ¦ � � �� (fixed) �� ¦ � � �� ¦ � � � � ¦ � � � (fixed) �� ¦ � � � �� ¦ � � � � ¦ � � � � (fixed) Table 7-17. Summary of fits using only the branching fraction part of the likelihood function (no ¡Ø). To estimate the effect of floating background parameters for Ñ �Ë, ¡�, and �, we also show a fit with fixed background parameters. Sample � only ¡Ñ�� only � floating both ¡Ñ Run 1 �� ¦ � � �� ¦ � � �� ¦ � � �� ¦ � � Run 2 �� ¦ � �� ¦ � �� ¦ � �� ¦ � Run1+2 �� ¦ � �� ¦ � �� ¦ � �� ¦ � �� Table 7-18. Summary of data fits floating � only, ¡Ñ �� only, or both. These fits are performed with Ë�� . Units are Ô× for � and �� Ô× for ¡Ñ��. ANALYSIS OF THE TIME-DEPENDENT �È -VIOLATING ASYMMETRY IN � � � � DECAYS
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ÍÒ�Ú�Ö×�Ø��
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Contents Introduction . ...........
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4 Strategy and Tools for Charmless
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7.2 Branching fraction � � �
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Introduction The main goal of the B
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1 �È Violation in the �� Sys
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1.2 Neutral � Mesons 7 Note, howe
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1.2 Neutral � Mesons 9 Applying t
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1.2 Neutral � Mesons 11 �È �
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1.2 Neutral � Mesons 13 ��
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1.2 Neutral � Mesons 15 � ¡�
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1.2 Neutral � Mesons 17 and � a
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1.2 Neutral � Mesons 19 given tim
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1.3 The Three Types of �È Violat
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1.4 �È Violation in the Standard
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1.5 Determination of « 37 1.5 Dete
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1.5 Determination of « 39 Assuming
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1.5 Determination of « 41 Figure 1
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1.5 Determination of « 43 b q (a)
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1.5 Determination of « 45 � �
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2 The BABAR Experiment 2.1 Physics
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2.1 Physics at � � B Factory op
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2.2 The BABAR detector. 51 Integrat
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2.2 The BABAR detector. 53 The dete
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2.2 The BABAR detector. 55 two oute
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2.2 The BABAR detector. 57 SVT Effi
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2.2 The BABAR detector. 59 324 1015
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Efficiency 2.2 The BABAR detector.
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2.2 The BABAR detector. 63 2.2.4 Th
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entries per mrad 2.2 The BABAR dete
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2.2 The BABAR detector. 67 entries
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2.2 The BABAR detector. 69 energies
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2.2 The BABAR detector. 71 The main
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Efficiency 2.2 The BABAR detector.
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2.2 The BABAR detector. 75 Table 2-
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3 Ã Ë reconstruction and efficien
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3.3 Studies on data 79 19.5° BINS
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3.3 Studies on data 81 ¯ off-reson
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3.3 Studies on data 83 0.504 0.502
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3.3 Studies on data 85 0.03 0.025 0
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3.3 Studies on data 87 0.504 0.502
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3.3 Studies on data 89 N(π + π -
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3.3 Studies on data 91 0.508 0.506
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3.3 Studies on data 93 Figure 3-13.
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3.3 Studies on data 95 0.508 0.506
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4 Strategy and Tools for Charmless
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4.2 Event selection 99 channel sele
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4.2 Event selection 101 ÀÐ �
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4.2 Event selection 103 Figure 4-2.
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4.3 Background fighting 105 Figure
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4.4 PID selection 107 In the case o
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4.4 PID selection 109 θ c Cut Effi
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4.5 Tracking Corrections 111 Ë�
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4.6 Analysis methods 113 Ñ�Ë si
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4.6 Analysis methods 115 Events/2.5
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4.6 Analysis methods 117 Figure 4-1
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4.6 Analysis methods 119 θ c radia
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5 Measurement of Branching Fraction
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5.2 Ã Ë reconstruction 123 1 0.8
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5.3 Analysis Strategy 125 0.35 0.3
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5.4 Background Suppression and PDF
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5.5 Maximum likelihood analysis 133
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Page 145 and 146: 5.5 Maximum likelihood analysis 139
Page 151 and 152: 5.6 Counting analysis 145 Table 5-1
Page 153 and 154: 5.7 Determination of branching frac
Page 155 and 156: 6 Measurement of Branching Fraction
Page 157 and 158: 6.3 The maximum likelihood analysis
Page 163 and 164: 6.4 Counting analysis 157 120 100 8
Page 165 and 166: 6.5 Analysis choice 159 6.5 Analysi
Page 167 and 168: 6.6 Results on the Run1 data-set 16
Page 169 and 170: 6.7 Determination of the branching
Page 171 and 172: 7 Analysis of the time-dependent
Page 173 and 174: 7.3 Analysis strategy 167 Parameter
Page 175 and 176: 7.4 Data samples and event selectio
Page 177 and 178: 7.4 Data samples and event selectio
Page 179 and 180: 7.5 Background characterization 173
Page 181 and 182: 7.5 Background characterization 175
Page 191 and 192: 7.8 Validation studies 185 Figure 7
Page 193 and 194: 7.8 Validation studies 187 100 75 5
Page 195: 7.8 Validation studies 189 Figure 7
Page 199 and 200: 7.9 Results 193 Parameter Fit Resul
Page 201 and 202: 7.9 Results 195 Events/2 MeV/c 2 Ev
Page 203 and 204: 7.10 Systematic studies 197 Categor
Page 205 and 206: 7.11 Summary 199 �Ã� Ë��
Page 207 and 208: 7.11 Summary 201 �Ã� Ë��
Page 209 and 210: 7.11 Summary 203 Variation �Ã�
Page 211 and 212: BIBLIOGRAFIA 205 Bibliografia Chapt
Page 213 and 214: BIBLIOGRAFIA 207 [38] J. Charles, P
Page 215 and 216: BIBLIOGRAFIA 209 Chapter 7 [67] D.
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Violation in Mixing

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