Violation in Mixing

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154 Measurement of Branching Fractions for � � Ã Ë Ã Ë Decays Events / 10 MeV 160 140 120 100 80 60 40 20 ID 111 ALLCHAN 4920. A0 61.00 / 57 80.63 1.718 A1 -114.1 6.729 A2 11.84 42.34 0 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 ΔE (GeV) Figure 6-5. Background ¡� distribution comparison: off-resonance, on-resonance and continuum Monte Carlo data 1000 800 600 400 200 ID 72129 ALLCHAN 5588. P1 18.06 / 18 765.1 55.68 P2 -0.3607 0.1203E-01 P3 0.3163 0.1166E-01 P4 114.3 53.22 P5 -0.4578E-01 0.1443 P6 0.4756 0.3835E-01 0 -4 -3 -2 -1 0 1 2 3 4 Fisher variable 40 35 30 25 20 15 10 5 ID 1234 ALLCHAN 210.0 P1 13.66 / 12 29.62 12.61 P2 0.2877E-01 0.1170 P3 0.2649 0.8093E-01 P4 10.64 10.67 P5 0.5876 0.4289 P6 0.2481 0.1344 0 -4 -3 -2 -1 0 1 2 3 4 Fisher variable Figure 6-6. � distribution fits in signal Ã Ë Ã Ë MC (left) and on-resonance Ñ�Ë side-band (�� Ñ�Ë � �� Î) (right). MARCELLA BONA
6.3 The maximum likelihood analysis 155 300 250 200 150 100 50 ID ALLCHAN 50179 1653. 0 -4 -3 -2 -1 0 1 2 3 4 Fisher variable Figure 6-7. Background � distribution comparison: off-resonance, on-resonance and continuum Monte Carlo data Table 6-2. Summary of functional form of PDFs used in the fit and of the sample used to obtain them. The samples in parentheses were used as a cross-check or to provide alternate parameterization to evaluate systematics. type of events and variable shape sample used (alternative) Signal Ñ�Ë Gaussian Ã Ë Ã Ë MC (� � � � ) Bkg Ñ�Ë ARGUS on-res side-band (off-res, cont MC) Signal ¡� Gaussian Ã Ë Ã Ë MC with � � � � scale factor Bkg ¡� Quadratic on-res side-band (off-res, cont MC) Signal Fisher double Gaussian Ã Ë Ã Ë MC (� � � � ) Bkg Fisher double Gaussian on-res Ñ�Ë side-band (off-res, cont MC) MEASUREMENT OF BRANCHING FRACTIONS FOR � � Ã Ë Ã Ë 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 �
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 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 159: 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 and 196: 7.8 Validation studies 189 Figure 7
Page 197 and 198: 7.8 Validation studies 191 Paramete
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�
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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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