Violation in Mixing

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78 Ã Ë reconstruction and efficiency studies 500 400 300 200 100 0 Plain GeoKin Fast 0.46 0.48 0.5 0.52 0.54 400 200 0 400 200 0 400 200 0 43.95 / 42 P1 195.9 24.05 P2 -217.8 47.87 P3 1293. 63.53 P4 0.4992 0.1224E-03 P5 0.2462E-02 0.1390E-03 P6 0.7812 0.6022E-01 P7 0.5029 0.2509E-02 P8 0.8818E-02 0.1477E-02 0.46 0.48 0.5 0.52 0.54 plain 41.89 / 42 P1 199.7 24.28 P2 -225.5 48.32 P3 1297. 69.32 P4 0.4992 0.1276E-03 P5 0.2442E-02 0.1479E-03 P6 0.7644 0.6445E-01 P7 0.5027 0.2280E-02 P8 0.8777E-02 0.1489E-02 0.46 0.48 0.5 0.52 0.54 geokin 35.14 / 42 P1 148.0 23.06 P2 -126.2 45.93 P3 1300. 62.70 P4 0.4990 0.1279E-03 P5 0.2372E-02 0.2164E-03 P6 0.6758 0.8632E-01 P7 0.5005 0.1261E-02 P8 0.6959E-02 0.1426E-02 0.46 0.48 0.5 0.52 0.54 Figure 3-1. Comparison among invariant mass distributions for � � reconstructed as Ã Ë using the three algorithms, superimposed (a) and with three separate fits (b). ¯ “KsDefault” is a refinement of the “KsLoose” list: the vertex is performed and only candidates within 25 MeV of the PDG mass are accepted. In this case the mass is recomputed at the vertex. ¯ “KsTight” refines the “KsDefault” list applying the mass constraint. Note that the selection that creates these list is only based on mass windows. 3.2 Study on MC truth In order to understand the reconstruction efficiency of the Ã Ë and possible sources of inefficiency, a study at MC truth level has been performed. Good part of the effort has been spent in understanding where do the Ã Ë actually decay and with which momentum. Figure 3-2 details the acceptance regions for the Ã Ë reconstruction and it is very helpful in understanding which topics we should be concentrating upon. It appears clear, for instance, that the outer region of the DCH , albeit challenging, is not the top priority. Starting with the Ã Ë in the list from the Monte Carlo truth, we check whether the Ã Ë is in the KsDefault list or not. The geometrical acceptance requires � �� and � � � �� . We subdivided our MC Ã Ë in the following categories: MARCELLA BONA fast
3.3 Studies on data 79 19.5° BINS FROM 9° (157 mrad) TO 165° 0.1% 0.1% 0.2% 0.1% .1% .6%1% 1.2% 1% 0.1% 2.5% 13.1% 5.4% 8.9% 11% 14.2% 18.4% 17.1% Figure 3-2. Fraction of Ã Ë decaying in several regions of the tracking acceptance. 1. The Ã Ë is not in the KsDefault list. The possible reasons are: (a) one or both pions are outside of the geometrical acceptance (b) both pions are within the acceptance but there is a reconstruction problem i. at least one pion is not reconstructed ii. reconstructed ÃË mass is not in the mass window (see section 3.1.1) iii. bad vertex reconstruction (c) problem with MC truth association r=20 cm 2. The Ã Ë is in the KsDefault list. To understand the vertex fit, we have divided the sample into Ã Ë with low and high vertex � probability and searched for differences. Table 3-1 shows the fraction of candidates which are lost because of reconstruction and angular acceptance. Out of the Ã Ë that fall inside the acceptance, �� of them is actually reconstructed. Only �� of the Ã Ë candidates decaying within the acceptance are not reconstructed although their daughters have been reconstructed 3.3 Studies on data The main goal of this analysis is though to provide a way to correct the efficiencies found on Monte Carlo samples to agree with data. In order to understand the efficiency 2 on the data, our study has been performed on a sample of consistently processed data. 2 In the following, if not otherwise stated, efficiencies are quoted on the whole solid angle: they include acceptance. 60 cm 40 cm Ã Ë RECONSTRUCTION AND EFFICIENCY STUDIES
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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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Page 33 and 34: 1.4 �È Violation in the Standard
Page 43 and 44: 1.5 Determination of « 37 1.5 Dete
Page 45 and 46: 1.5 Determination of « 39 Assuming
Page 47 and 48: 1.5 Determination of « 41 Figure 1
Page 49 and 50: 1.5 Determination of « 43 b q (a)
Page 51 and 52: 1.5 Determination of « 45 � �
Page 53 and 54: 2 The BABAR Experiment 2.1 Physics
Page 55 and 56: 2.1 Physics at � � B Factory op
Page 57 and 58: 2.2 The BABAR detector. 51 Integrat
Page 59 and 60: 2.2 The BABAR detector. 53 The dete
Page 61 and 62: 2.2 The BABAR detector. 55 two oute
Page 63 and 64: 2.2 The BABAR detector. 57 SVT Effi
Page 65 and 66: 2.2 The BABAR detector. 59 324 1015
Page 67 and 68: Efficiency 2.2 The BABAR detector.
Page 69 and 70: 2.2 The BABAR detector. 63 2.2.4 Th
Page 71 and 72: 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: 3 Ã Ë reconstruction and efficien
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 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
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5.4 Background Suppression and PDF
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5.4 Background Suppression and PDF
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5.5 Maximum likelihood analysis 133
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5.6 Counting analysis 145 Table 5-1
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5.7 Determination of branching frac
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6 Measurement of Branching Fraction
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6.3 The maximum likelihood analysis
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6.4 Counting analysis 157 120 100 8
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6.5 Analysis choice 159 6.5 Analysi
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6.6 Results on the Run1 data-set 16
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6.7 Determination of the branching
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7 Analysis of the time-dependent
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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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7.8 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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