Violation in Mixing

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142 Measurement of Branching Fractions for � ¦ � Ã � ¦ decays Table 5-9. Systematics errors for Ã Ë � asymmetry Ñ�Ë (Signal) Mean Ñ�Ë (Signal) Ñ�Ë (Bkg) �Ñ�Ë (Signal) ¡� (Signal) Mean ¡� (Signal) �¡� (Signal) � Ë � Ë Ã Ë � ÃË� � � � � � � � � � � � � � � � � � � � � � � ¡� (Bkg) ¦ � Fisher Fisher (Signal) ¦ � � � Fisher (Bkg) ¦ � � � � � � : Frac Sat Peak � � � � : Resolution ¦ � Total � : Offset - � : charge dependent PDFs ¦ � ¦ � ¯ Fisher Output: The uncertainty due to the shape of � in signal events is determined by using the shape obtained from � � � � decays in data. For background, alternative parameterizations are obtained from the fit done with off-resonance data and continuum Monte Carlo. ¯ PID: The � parameterization offset and resolution have both been changed of ¦ � ÑÖ��. The fraction of the satellite peak has been varied from to � independently for � and K. Another systematic cross-check we have performed is using separate �ÁÊ� PDFs for positive and negative charged kaons or pions: this gives no change in the Ã Ë � yield and a �� difference in the asymmetry. When just one systematic check is tried, the error is assumed to be symmetric. The systematic uncertainties in the fit results are summarized in Table 5-8 for the Ã Ë � yield and in Table 5-9 for the asymmetry in the Ã Ë � mode. The systematics due to this method for the Ã Ë Ã mode is . 5.5.5 ¡� distribution from on-resonance data We looked at the ¡� distribution the Ñ�Ë signal band: figure 5-14 shows the fit of the signal with a fixed background shape taken from Ñ�Ë side-band. Fitted ¡� mean and resolution are in good agreement with the ones estimated from � � control sample and used in the global likelihood fit. The mean value is �� ¦ ��Å�Î, the resolution is � ¦ ��Å�Îand the area gives �� ¦ � events: the � �Ò�� of the fit is � ��. Leaving the background floating the result is compatible with the quoted one. MARCELLA BONA � � � � � �
5.5 Maximum likelihood analysis 143 Events / 9.5 MeV 30 20 10 0 BABAR -0.2 0 0.2 ΔE (GeV) Figure 5-14. ¡� distribution in the Ñ�Ë signal region: in the fit only the parameters of the Gaussian are floating. The background shape is fixed accordingly with the on-resonance Ñ �Ë side band (Ñ�Ë � �� Î) and rescaled properly. 5.5.6 ARGUS shape from on-resonance data We include as a fit variable in the global likelihood the parameter � of the ARGUS function which was used to parameterize Ñ�Ë background shape. When we let all the parameters float, we get from the fit: Æ Ë Ã Ë � Æ Ë Ã Ë Ã � � Ë Ã Ë � � Ë Ã Ë Ã Æ � Ã Ë � Æ � Ã Ë Ã � � Ã Ë � � � Ã Ë Ã � �� ×Ø�Ø ×Ø�Ø � � ¦ � � ×Ø�Ø � ¬Ü�� ×Ø�Ø � �� ×Ø�Ø � � ¦ � � ×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 -
Page 97 and 98: 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 147: 5.5 Maximum likelihood analysis 141
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
Page 195 and 196: 7.8 Validation studies 189 Figure 7
Page 197 and 198: 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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