Violation in Mixing

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120 Strategy and Tools for Charmless Two-body � Decays Analysis variables � and � is calculated. The definition of �� is [55] where and ×� � ×��. MARCELLA BONA × �� Æ �� × �� (4.14) ×�×� � � Ü�� Ü� Ü�� Ü� ℄ � (4.15)
5 Measurement of Branching Fractions for � ¦ � Ã � ¦ decays This chapter analyzes the two modes containing a Ã Ë combined with a charged pion or kaon. Table 5-1 shows the latest results from CLEO using an integrated luminosity of �� fb [58]. Table 5-1. Summary of CLEO results on Ã Ë � using �� fb Mode Æ× Sig. ¯ �Ê ¢ � Ã � ¦ �� Ã ¦ Ã �� 5.1 Data samples and event selection �� 0.14 �� 0.14 � �� ¦ �� The analyses presented in this chapter use the data samples described in Sec. 4.1 and the selection described in Sec. 4.2. In addition, a control sample of � ¦ � Ã Ë � ¦ decays is used to determine the efficiency of the Ã Ë mass cut. Candidate � mesons are selected corresponding to this specific modes Ã Ë � . The kinematic variables used are the already described energy-substituted mass, Ñ�Ë and energy difference ¡��, where the notation with the subscript � indicates that the candidate energy is calculated assuming the pion mass hypothesis for the charged track. We select candidates in the region �� Î� �Ñ�Ë � �� Î� and � � ��Î � ¡� � � �� Î: this 2-dimensional area is called the grand side-band. In order to define the ¡� side-bands together with the signal box, conservative values for ¡� shift and resolution have to be considered. The shift has to be taken into account since, in the case � ¦ � Ã Ë Ã ¦ , ¡� is calculated using the � mass and thus the mean value of the ¡� distribution of those events is shifted of about �� Å�Î. If one considers a conservative value of �� Å�Î for the ¡� resolution (see the complete discussion in Sec. 5.4.1), the ¡� signal box can be defined by: and thus ¡�Ñ�Ü � ¢ �� Å�Î ¡�Ñ�Ò � ¢ �� Å�Î Æ� � ¡�Ñ�Ü ¡�Ñ�Ò � � Å�Î .
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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
Page 75 and 76: 2.2 The BABAR detector. 69 energies
Page 77 and 78: 2.2 The BABAR detector. 71 The main
Page 79 and 80: Efficiency 2.2 The BABAR detector.
Page 81 and 82: 2.2 The BABAR detector. 75 Table 2-
Page 83 and 84: 3 Ã Ë reconstruction and efficien
Page 85 and 86: 3.3 Studies on data 79 19.5° BINS
Page 87 and 88: 3.3 Studies on data 81 ¯ off-reson
Page 89 and 90: 3.3 Studies on data 83 0.504 0.502
Page 91 and 92: 3.3 Studies on data 85 0.03 0.025 0
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: 4.6 Analysis methods 119 θ c radia
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 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
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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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7.7 The maximum likelihood analysis
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7.8 Validation studies 185 Figure 7
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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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