Violation in Mixing

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iv 5.4.5 Efficiency ......................................131 5.5 Maximum likelihood analysis .................................132 5.5.1 Correlations between PDFs . ............................134 5.5.2 Event yields and asymmetries ...........................134 5.5.3 Cross-check and systematics ............................135 5.5.4 Systematic uncertainties . . ............................138 5.5.5 ¡� distribution from on-resonance data ......................142 5.5.6 ARGUS shape from on-resonance data ......................143 5.6 Counting analysis .......................................144 5.6.1 Cuts . . .......................................144 5.6.2 Results .......................................145 5.7 Determination of branching fraction . ............................146 6 Measurement of Branching Fractions for � � Ã Ë Ã Ë Decays 149 6.1 Data samples and event selection . . . ............................149 6.2 Analysis strategy .......................................149 6.2.1 Efficiency ......................................150 6.3 The maximum likelihood analysis . . ............................150 6.3.1 Definition of PDFs .................................151 6.3.2 Test on the maximum likelihood analysis .....................156 6.4 Counting analysis .......................................157 6.5 Analysis choice . .......................................159 6.6 Results on the Run1 data-set .................................159 6.6.1 Systematics studies .................................160 6.6.2 Cross-check: the counting analysis . . .......................162 6.7 Determination of the branching fraction ...........................162 7 Analysis of the time-dependent �È -violating asymmetry in � � � � decays 165 7.1 �È analysis requirements . ..................................165 MARCELLA BONA
7.2 Branching fraction � � � � analysis results ......................166 7.3 Analysis strategy .......................................167 7.4 Data samples and event selection . . . ............................168 7.4.1 Optimization of the � Ó× �Ë� cut ..........................169 7.4.2 Comparison with the branching fraction analysis result . . . ...........172 7.5 Background characterization .................................172 7.5.1 Composition . . ..................................172 7.5.2 Parameterization of ¡Ø ...............................173 7.6 Signal characterization . . ..................................176 7.7 The maximum likelihood analysis . . ............................177 7.7.1 Likelihood function .................................177 7.7.2 Probability Density Functions ...........................178 7.7.2.1 Correlations between PDF variables .................182 7.8 Validation studies .......................................185 7.8.1 Toy Monte Carlo ..................................185 7.8.2 Effect of floating yields in the �È fit........................188 7.8.3 Monte Carlo fits ..................................188 7.8.4 Branching fraction fits . . . ............................190 7.8.5 Lifetime and mixing fits . . ............................190 7.9 Results .............................................192 7.9.1 Cross-checks . . ..................................192 7.10 Systematic studies .......................................197 7.11 Summary ...........................................197 Bibliography .............................................205 1
Page 1 and 2: ÍÒ�Ú�Ö×�Ø��
Page 3 and 4: Contents Introduction . ...........
Page 5: 4 Strategy and Tools for Charmless
Page 9 and 10: Introduction The main goal of the B
Page 11 and 12: 1 �È Violation in the �� Sys
Page 13 and 14: 1.2 Neutral � Mesons 7 Note, howe
Page 15 and 16: 1.2 Neutral � Mesons 9 Applying t
Page 17 and 18: 1.2 Neutral � Mesons 11 �È �
Page 19 and 20: 1.2 Neutral � Mesons 13 ��
Page 21 and 22: 1.2 Neutral � Mesons 15 � ¡�
Page 23 and 24: 1.2 Neutral � Mesons 17 and � a
Page 25 and 26: 1.2 Neutral � Mesons 19 given tim
Page 27 and 28: 1.3 The Three Types of �È Violat
Page 33 and 34: 1.4 �È Violation in the Standard
Page 43 and 44: 1.5 Determination of « 37 1.5 Dete
Page 45 and 46: 1.5 Determination of « 39 Assuming
Page 47 and 48: 1.5 Determination of « 41 Figure 1
Page 49 and 50: 1.5 Determination of « 43 b q (a)
Page 51 and 52: 1.5 Determination of « 45 � �
Page 53 and 54: 2 The BABAR Experiment 2.1 Physics
Page 55 and 56: 2.1 Physics at � � B Factory op
Page 57 and 58:
2.2 The BABAR detector. 51 Integrat
Page 59 and 60:
2.2 The BABAR detector. 53 The dete
Page 61 and 62:
2.2 The BABAR detector. 55 two oute
Page 63 and 64:
2.2 The BABAR detector. 57 SVT Effi
Page 65 and 66:
2.2 The BABAR detector. 59 324 1015
Page 67 and 68:
Efficiency 2.2 The BABAR detector.
Page 69 and 70:
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
Page 79 and 80:
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
Page 95 and 96:
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
Page 113 and 114:
4.4 PID selection 107 In the case o
Page 115 and 116:
4.4 PID selection 109 θ c Cut Effi
Page 117 and 118:
4.5 Tracking Corrections 111 Ë�
Page 119 and 120:
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
Page 131 and 132:
5.3 Analysis Strategy 125 0.35 0.3
Page 133 and 134:
5.4 Background Suppression and PDF
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Page 137 and 138:
Page 139 and 140:
5.5 Maximum likelihood analysis 133
Page 141 and 142:
Page 143 and 144:
Page 145 and 146:
Page 147 and 148:
Page 149 and 150:
Page 151 and 152:
5.6 Counting analysis 145 Table 5-1
Page 153 and 154:
5.7 Determination of branching frac
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6 Measurement of Branching Fraction
Page 157 and 158:
6.3 The maximum likelihood analysis
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Page 161 and 162:
Page 163 and 164:
6.4 Counting analysis 157 120 100 8
Page 165 and 166:
6.5 Analysis choice 159 6.5 Analysi
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6.6 Results on the Run1 data-set 16
Page 169 and 170:
6.7 Determination of the branching
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7 Analysis of the time-dependent
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7.3 Analysis strategy 167 Parameter
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7.4 Data samples and event selectio
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7.4 Data samples and event selectio
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7.5 Background characterization 173
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7.5 Background characterization 175
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Page 185 and 186:
Page 187 and 188:
Page 189 and 190:
Page 191 and 192:
7.8 Validation studies 185 Figure 7
Page 193 and 194:
7.8 Validation studies 187 100 75 5
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7.8 Validation studies 189 Figure 7
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7.8 Validation studies 191 Paramete
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7.9 Results 193 Parameter Fit Resul
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7.9 Results 195 Events/2 MeV/c 2 Ev
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7.10 Systematic studies 197 Categor
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7.11 Summary 199 �Ã� Ë��
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7.11 Summary 201 �Ã� Ë��
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7.11 Summary 203 Variation �Ã�
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BIBLIOGRAFIA 205 Bibliografia Chapt
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BIBLIOGRAFIA 207 [38] J. Charles, P
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BIBLIOGRAFIA 209 Chapter 7 [67] D.
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Violation in Mixing

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