Violation in Mixing

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196 Analysis of the time-dependent �È -violating asymmetry in � � � � decays Events/0.4 ps 20 15 10 5 0 10 1 Δt B A B AR -5 0 5 Figure 7-19. Distribution of ¡Ø for a sample enhanced in �� events using likelihood ratio cuts. The solid histogram represents the expected distribution for signal and background, while the dashed histogram shows the expected background shape. Category Fit result Lepton �� ¦ �� Kaon � ¦ � NT1 �� ¦ �� NT2 � ¦ �� Untagged � ¦ �� Table 7-22. Results of a fit floating separate values of � for each tagging category. The average � from the nominal fit is � ¦ � . MARCELLA BONA (ps)
7.10 Systematic studies 197 Category Floating Nominal �Ä�ÔØÓÒ ÊÙÒ � � ¦ � � � (fixed) �Ã�ÓÒ ÊÙÒ � � ¦ � � � �� (fixed) �ÆÌ ÊÙÒ � �� ¦ � � � � (fixed) �ÆÌ ÊÙÒ � ¦ � � � (fixed) �Ä�ÔØÓÒ ÊÙÒ � ¦ � � � (fixed) �Ã�ÓÒ ÊÙÒ � � ¦ � �� (fixed) �ÆÌ ÊÙÒ � �� ¦ � � � (fixed) �ÆÌ ÊÙÒ � � ¦ � � � � (fixed) Table 7-23. Results of a fit floating signal tagging efficiencies in Run 1 and Run 2, along with yields, background parameters, and �È parameters. As a check on the consistency of the tagging efficiencies in signal events, we performed a fit floating the efficiencies for each category separately for Run 1 and Run 2. Table 7-23 summarizes the result. The values are consistent between Run 1 and Run 2, and they agree with the nominal values obtained from the Breco sample (Table 7-8). To study the effect of this possibility of the Fisher discriminant shape varying across tag categories, we generated toy MC with different Fisher shapes for each category, based on fits to on-resonance side-band data, and fit each pseudo-experiment with the average Fisher shape. All parameters show no bias. 7.10 Systematic studies Tables 7-24–7-30 summarize the absolute variations in �Ã�, Ë��, and �� arising from uncertainties in various parameters, determined by fluctuating each parameter up and down by �. Table 7-31 summarizes systematic uncertainties determined by substituting different parameter sets for signal and background ¡Ø, and the background tagging efficiencies determined from the fit region (Table 7-6). Table 7-32 summarizes the systematic errors coming from all sources, and the total systematic error calculated as the quadrature sum of the individual uncertainties. Although the nominal branching fraction results should still be considered the PRL ones, we have also calculated the total systematic error on Æ��. We find an uncertainty of ¦�� events, which is a fractional error of � . 7.11 Summary This analysis has produced a measurement of the time-dependent �È violating asymmetry in � � � � decays, and an updated measurement of the charge asymmetry in � � Ã � decays. In �� fb we ANALYSIS OF THE TIME-DEPENDENT �È -VIOLATING ASYMMETRY IN � � � � 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
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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
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4.4 PID selection 109 θ c Cut Effi
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4.5 Tracking Corrections 111 Ë�
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4.6 Analysis methods 113 Ñ�Ë si
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4.6 Analysis methods 115 Events/2.5
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4.6 Analysis methods 117 Figure 4-1
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4.6 Analysis methods 119 θ c radia
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5 Measurement of Branching Fraction
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5.2 Ã Ë reconstruction 123 1 0.8
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5.3 Analysis Strategy 125 0.35 0.3
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5.4 Background Suppression and PDF
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5.5 Maximum likelihood analysis 133
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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
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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: 7.9 Results 195 Events/2 MeV/c 2 Ev
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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