Violation in Mixing

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144 Measurement of Branching Fractions for � ¦ � Ã � ¦ decays statistical significance (in 20 fb -1 ) 8 7 6 5 4 3 2 1 optimization with continuum MC 0 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 efficiency on signal statistical significance (in 20. fb -1 ) 8 7 6 5 4 3 2 1 optimization with offresonance data 0 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 efficiency on signal statistical significance (in 20. fb -1 ) 8 7 6 5 4 3 2 1 optimization on onresonance data 0 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 efficiency on signal Figure 5-15. Result of Fisher optimization for Monte Carlo data (left), off-resonance data (center), and on-resonance (right) data. � � �� ¦ �� ×Ø�Ø In the nominal fit, we used � ¦ � and in the systematics we varied the � value used of �: the fitted value of �� ¦ �� is therefore taken into account through this systematic check. We get exactly the same result fixing the signal components to the values from the nominal fit. 5.6 Counting analysis As a further cross-check, a simple cut-based analysis is performed to isolate samples of events that are consistent with the Ã Ë � and Ã Ë Ã hypotheses and signal yields are then obtained from an unbinned maximum likelihood fit to Ñ�Ë and ¡� using the same parameterizations of the global likelihood method. 5.6.1 Cuts A cut on the Fisher discriminant output is chosen to optimize the statistical significance. The significance as a function of total efficiency is displayed in Fig. 5-15 for various cuts on the Fisher output. The maximum significance is achieved with � � � . The efficiency of this cut on MC is � � with respect to the likelihood selection. To separate � and Ã, the SMS loose selector is applied to the tracks passing the base PID cuts described in Sec. 5.4. Table 5-10 shows the cross-feed matrix computed from the � control sample taking into account the proton cut and the SMS loose selection. MARCELLA BONA
5.6 Counting analysis 145 Table 5-10. Cross-feed matrix computed from the � control sample (see Tab. 4-4). number of events / 0.0025 GeV from real Ã Ë � from real Ã Ë Ã to obs Ã Ë � �� ¦ � � � ¦ � to obs Ã Ë Ã � � ¦ � �� ¦ � � 25 20 15 10 5 ALLCHAN 368.0 0 5.2 5.22 5.24 5.26 5.28 5.3 Mes (GeV) Figure 5-16. Ñ�Ë distribution in the ¡� signal region with superimposed the fitted function (sum of an ARGUS function, with � � � , and a Gaussian with Ñ�Ë �� Î� and � Ñ�Ë � ��Å�Î� ). 5.6.2 Results First we estimate the event yields including in the fit the events passing all cuts except the base PID cuts. The efficiency of this selection is �� . Fig. 5-16 shows the Ñ�Ë distribution with superimposed the fitted function. The result of the fit is: Æ Ë Ã Ë � Æ Ë Ã Ë Ã � �� ×Ø�Ø � �� Æ � ÃË� � � ×Ø�Ø �� ×Ø�Ø 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
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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
Page 99 and 100: 3.3 Studies on data 93 Figure 3-13.
Page 101 and 102: 3.3 Studies on data 95 0.508 0.506
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 149: 5.5 Maximum likelihood analysis 143
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 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
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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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