Violation in Mixing

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118 Strategy and Tools for Charmless Two-body � Decays Analysis Events/0.1 Events/0.1 150 100 50 0 10 2 10 1 10 -1 a) BABAR -4 -2 0 2 4 Fisher Output b) -4 -2 0 2 4 Fisher Output Events/0.1 Events/0.1 150 100 50 0 10 2 10 1 10 -1 a) BABAR -4 -2 0 2 4 Fisher Output b) -4 -2 0 2 4 Fisher Output Figure 4-12. Left plot: the � distribution for on-resonance Ñ �Ë side-band data (points) and off-resonance data (histogram). Right plot: the � distribution for on-resonance Ñ �Ë side-band data (points) and Monte Carlo simulated continuum events (histogram). All the distributions are normalized to the same, arbitrary, area. The curves represent double Gaussian fits to the on-resonance Ñ �Ë side-band distribution. The bottom plots are identical, but with a log scale on the Ý-axis. Offset (mrad) Offset (mrad) 0 -0.5 -1 -1.5 0 -0.5 -1 -1.5 -1 0 1 K cosθ -1 0 1 π cosθ BaBar Data 5 Sigma (mrad) Sigma (mrad) 4 3 2 -1 0 1 K cosθ 5 4 3 2 -1 0 1 π cosθ Events Events 10 3 10 2 10 1.75-2.0 GeV/c BABAR Events 1 -0.05 0 0.05 θc-θc (K) radians 10 2 10 3.0-3.25 GeV/c BABAR Events 1 -0.05 0 0.05 θc-θ c (K) radians 10 3 10 2 10 2.5-2.75 GeV/c BABAR 1 -0.05 0 0.05 θc-θc (K) radians 10 2 10 3.75-4.25 GeV/c BABAR 1 -0.05 0 0.05 θc-θ c (K) radians Figure 4-13. Left plots: the offsets (left) of the measured mean � from the expected value, and resolutions on � (right) for kaons (top) and pions (bottom). Right plots: the distributions of � � for kaon tracks selected from the � £ control sample in selected bins of momentum. MARCELLA BONA
4.6 Analysis methods 119 θ c radians 0.85 0.825 0.8 0.775 B A B AR π K 2 3 4 5 p GeV/c Number of σ separation 10 8 6 4 2 0 b) BABAR 2 2.5 3 3.5 4 K-π separation versus p GeV/c Figure 4-14. The � ��Ö�Ò�ÓÚ angle (a) and Ã–� separation (b) as functions of momentum for tracks in the � control sample. Both tracks must be in the same momentum bin to achieve a given � separation. Tracks below the dashed line in (a) are rejected as proton candidates. kaon(pion) tracks and has a width three times that of the primary peak. Left plots in Fig. 4-13 display the quantity � � for kaon tracks in four representative momentum bins. Overlayed on the distributions are the results of the double Gaussian fits to both the primary peaks and the satellite peaks. No significant momentum or Ó× � dependence is observed. The effect is present in Monte Carlo simulated decays at a somewhat smaller level (� ). The satellite peak is included in the � PDFs as a second Gaussian with width and relative area fixed to the values described above, and centered at the opposite particle hypothesis. As will be demonstrated later, the presence of these satellite peaks has a very small effect on the fit results. The � measurements for pions and kaons in Monte Carlo simulated � � � � decays have been compared with those derived from the Monte Carlo � £ control sample and good agreement is found. This validates the use of the � £ decays in the data as a means of parameterizing the � resolutions and offsets for the signal samples. 4.6.6 Correlations between PDFs The PDFs described in the previous sections are assumed to be uncorrelated in the maximum likelihood fit. To check this assumption, in each decay mode, the linear correlation coefficient �� between the PDFs for STRATEGY AND TOOLS FOR CHARMLESS TWO-BODY � DECAYS ANALYSIS
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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
Page 73 and 74: 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: 4.6 Analysis methods 117 Figure 4-1
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 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
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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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Violation in Mixing

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