Violation in Mixing

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160 Measurement of Branching Fractions for � � Ã Ë Ã Ë Decays Events/2.5MeV/c 2 10 5 BABAR 0 5.2 5.225 5.25 5.275 5.3 mES (GeV/c 2 mES (GeV/c ) 2 ) Figure 6-10. Ñ�Ë distribution for events entering the maximum likelihood fit sample with superimposed the Ñ�Ë PDFs used in the fit itself (Gaussian for the signal and ARGUS function for the background) Figure 6-10 shows the Ñ�Ë distribution with superimposed the PDF function used in the likelihood fit, while ¡� distribution for the same likelihood fit sample is shown in Fig. 6-11. 6.6.1 Systematics studies Systematic errors on the results from the fit are determined using variations of the fit input parameters: ¯ Changing each parameter by ¦ � for signal ¡� and Ñ�Ë and for background Ñ�Ë. ¯ Using off-resonance and MC grand side-band parameterizations for background ¡�. ¯ Using the � � control sample fit parameters for signal �. ¯ Using off-resonance and MC parameterizations for background �. In Tab. 6-7 there is a summary of the systematics errors on the signal yield. In some cases (first three entries in the table) we changed each parameter of ¦ � and we estimated the error from the biggest positive and negative variations of the signal yield. In this way we can obtain an asymmetric interval. The other three entries are obtained using just one alternative parameterization in each case, giving only one possible variation (shown with its own sign in the table). We have then assumed a symmetric interval around the nominal value. MARCELLA BONA
6.6 Results on the Run1 data-set 161 Events / 5 MeV 15 10 5 BABAR 0 -0.1 -0.05 0 0.05 0.1 ΔE (GeV) Figure 6-11. ¡� distribution for events entering the maximum likelihood fit sample with superimposed the ¡� PDFs used in the fit itself (Gaussian for the signal and second order polynomial for the background) Table 6-7. Systematics errors from likelihood fit parameters. The total refers to the absolute variations of the yield summed in quadrature. When just one systematics check is tried, the variation and thus the error are assumed to be symmetric. variable systematics signal Ñ�Ë � �� background Ñ�Ë �� signal ¡� � �� background ¡� signal �isher � background �isher � total �� MEASUREMENT OF BRANCHING FRACTIONS FOR � � Ã Ë Ã Ë DECAYS
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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 �
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4.2 Event selection 103 Figure 4-2.
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4.3 Background fighting 105 Figure
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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 163 and 164: 6.4 Counting analysis 157 120 100 8
Page 165: 6.5 Analysis choice 159 6.5 Analysi
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�
Page 211 and 212: BIBLIOGRAFIA 205 Bibliografia Chapt
Page 213 and 214: BIBLIOGRAFIA 207 [38] J. Charles, P
Page 215 and 216: BIBLIOGRAFIA 209 Chapter 7 [67] D.
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Violation in Mixing

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