Violation in Mixing

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138 Measurement of Branching Fractions for � ¦ � Ã � ¦ decays We find good agreement between the SMS selector and the global likelihood fit using the �ÁÊ� PDF’s. We have also checked that the asymmetries are compatible with zero in the on-resonance upper and lower side bands, in the off-resonance data and in continuum Monte Carlo. In on-resonance lower side-band, we have 4529 events: fitting not using ¡� PDF and fixing the signal asymmetries, we get Æ Ë Ã Ë � � �� Æ Ë Ã Ë Ã � Æ � Ã Ë � Æ � Ã Ë Ã � � Ã Ë � � � Ã Ë Ã �� ×Ø�Ø �� ×Ø�Ø � �� ×Ø�Ø � �� ×Ø�Ø � � ¦ � ×Ø�Ø � � � ¦ � � ×Ø�Ø We see no asymmetry in the background and no statistically significant signal. To evaluate the cross-feed of background into signal events, we check on off-resonance data in the signal band, using ¡� PDF too: we get Æ Ë Ã Ë � � Æ Ë Ã Ë Ã � Æ � Ã Ë � Æ � Ã Ë Ã � � Ã Ë � � � Ã Ë Ã � � � � � � � ×Ø�Ø ×Ø�Ø �� ×Ø�Ø �� ×Ø�Ø � � ¦ � �� ×Ø�Ø � � �� ¦ � �� ×Ø�Ø Finally, we have built samples of continuum Monte Carlo events with different amounts of signal and background and predefined asymmetries (including in the sample different amount of positive and negative charged candidates) and we have checked that the fit returns the correct yields and asymmetries. Table 5-6 shows that the fit always returns the correct number of signal events within � and that there is less than cross-feed to the other Ã Ë � channel or to background events. Table 5-7 shows tests on samples of continuum MC with fixed charge asymmetry: the fit returns the value of the asymmetry with very good agreement. 5.5.4 Systematic uncertainties The amount of background and signal are both allowed to fluctuate within Poissonian statistics in the fit itself. Thus it is not necessary to estimate a systematic uncertainty from the background normalization. The MARCELLA BONA
5.5 Maximum likelihood analysis 139 Fit Variable Input Value Fitted Value Æ Ë Ã Ë � Æ Ë Ã Ë Ã Test 1: signal Ã Ë � �� ¦ � � �� ¦ �� Ë Ã Ë � � � � � ¦ � � Ë Ã Ë Ã Æ � Ã Ë � Æ � Ã Ë Ã �� ¦ � � �� ¦ �� ¦ � � � Ã Ë � � � ¦ � � � Ã Ë Ã � � ¦ � � Æ Ë Ã Ë � Æ Ë Ã Ë Ã Test 2: signal Ã Ë Ã � �� ¦ �� ¦ �� Ë Ã Ë � �� ¦ � � � Ë Ã Ë Ã Æ � Ã Ë � Æ � Ã Ë Ã � � Ã Ë � � � � ¦ � �� ¦ �� ¦ �� Ã Ë Ã � ¦ � � Æ Ë Ã Ë � Æ Ë Ã Ë Ã ¦ Test 3: signal and continuum MC �� ¦ �� ¦ �� Ë Ã Ë � � � � � ¦ � � � Ë Ã Ë Ã Æ � Ã Ë � Æ � Ã Ë Ã �� ¦ � � � �� ¦ � �� ¦ �� Ã Ë � � � � � ¦ � �� Ã Ë Ã � � � ¦ � � Table 5-6. Summary of tests performed with Monte Carlo to validate the global likelihood fit using combinations of signal and continuum Monte Carlo. MEASUREMENT OF BRANCHING FRACTIONS FOR � ¦ � Ã � ¦ 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
Page 93 and 94: 3.3 Studies on data 87 0.504 0.502
Page 95 and 96: 3.3 Studies on data 89 N(π + π -
Page 99 and 100: 3.3 Studies on data 93 Figure 3-13.
Page 103 and 104: 4 Strategy and Tools for Charmless
Page 105 and 106: 4.2 Event selection 99 channel sele
Page 107 and 108: 4.2 Event selection 101 ÀÐ �
Page 109 and 110: 4.2 Event selection 103 Figure 4-2.
Page 111 and 112: 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
Page 121 and 122: 4.6 Analysis methods 115 Events/2.5
Page 123 and 124: 4.6 Analysis methods 117 Figure 4-1
Page 125 and 126: 4.6 Analysis methods 119 θ c radia
Page 127 and 128: 5 Measurement of Branching Fraction
Page 129 and 130: 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
Page 139 and 140: 5.5 Maximum likelihood analysis 133
Page 143: 5.5 Maximum likelihood analysis 137
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
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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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