Violation in Mixing

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152 Measurement of Branching Fractions for � � Ã Ë Ã Ë Decays Events / 2.5 MeV 8 7 6 5 4 3 2 1 Events / 2.5 MeV 30 25 20 15 10 5 ID 52160 ALLCHAN 558.0 P1 25.79 / 34 37.52 3.849 P2 25.15 5.138 0 5.2 5.22 5.24 5.26 5.28 5.3 m ES (GeV/c 2 ) Figure 6-2. ARGUS fit to the Ñ�Ë distribution in the on-resonance upper and lower side-band regions. ID 42100 ALLCHAN 112.0 P1 25.16 / 33 6.134 1.636 P2 23.90 13.27 0 5.2 5.22 5.24 5.26 5.28 5.3 m ES (GeV/c 2 ) 10 8 6 4 2 ID 502100 ALLCHAN 158.5 P1 22.02 / 33 11.95 2.429 P2 36.55 10.62 0 5.2 5.22 5.24 5.26 5.28 5.3 Figure 6-3. ARGUS fits to the Ñ�Ë distribution for the grand side-band region in off-resonance (left) and continuum Monte Carlo (right). MARCELLA BONA
6.3 The maximum likelihood analysis 153 1400 1200 1000 800 600 400 200 Entries 5682 335.7 / 50 Constant 1267. 24.31 Mean 0.6610E-02 0.2302E-03 Sigma 0.1683E-01 0.2216E-03 0 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 Figure 6-4. ¡� distribution in the signal Ã Ë Ã Ë Monte Carlo sample. The difference between the � candidate’s energy and Ô ×� , ¡�, is parameterized as a Gaussian for the signal (Fig. 6-4) and as a second order polynomial for the background (Fig. 6-5). In the signal, the width of the Gaussian is ��Å�Îfor Ã Ë Ã Ë Monte Carlo. A comparison of � � � � decays in data and Monte Carlo indicates that the Monte Carlo resolution should be scaled by a factor � �¦ � � to agree with data. As a consequence, in case of Ã Ë Ã Ë decays, we have estimated the resolution on ¡� in real data to be � ¦ �Å�Î. To test the dependence of the fit from the ¡� resolution, we fitted 1000 toy MC experiments with a single Gaussian signal ¡� distribution having the same toy MC resolution or � � times better or � � times worse: the results of these fits are perfectly consistent with each others. The distribution of the Fisher discriminant for the event, �, is fitted with a double Gaussian for both background and signal. For the parameterization of the Fisher variable in signal events we have used signal Ã Ë Ã Ë MC, while for the Fisher variable in the background events, we have used the on-resonance Ñ�Ë side-band (Figure 6-6) defined as �� Ñ�Ë � �� Î� . The Fisher distribution in on-resonance Ñ�Ë side-band has been validated against continuum MC and offresonance data (Figure 6-7). Table 6-2 summarizes the functional form of PDFs and the samples used to obtain them. 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
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 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: 6.3 The maximum likelihood analysis
Page 161 and 162: 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��
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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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