The continuous injection system

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Table of contents

I Theoretical Introduction 
1 Weak interactions, quark mixing and CP violation 
1.1 CP Violation in the Standard Model
1.1.1 Elementary constituents
1.1.2 CP violation and the CKM Matrix
1.1.3 CKM matrix properties
1.2 The B Meson System
1.2.1 The quantum mechanics of neutral B mesons
1.2.2 Tagging and t measurement from coherent B0 ¯B 0 production at BABAR
1.2.3 Three types of CP violation
1.2.4 B factories achievements
1.3 Constraints on the CKM Matrix and B factories
2 B0 → K0S π+π− and Charmless 3-body B decays 
2.1 Introduction
2.2 Experimental and theoretical status
2.3 b → s¯qq Penguin Dominated Modes and New Physics
2.4 Three-Body Decays and the B0 → K0S π+π− Channel
2.4.1 Particle Decays
2.4.2 The Dalitz Plot
2.4.3 The isobar model
2.4.4 Mass term description
2.4.5 Blatt-Weisskopf Factors
2.4.6 Angular Distribution
2.4.7 The Square Dalitz Plot
2.4.8 Time and DP-Dependent PDF
2.4.9 Physical observables
3 Theory Elements for the B → K∗π and B → ρK Modes 
3.1 Introduction
3.2 Isospin Analysis for the B → K∗π modes
3.2.1 Decay Amplitudes
3.2.2 Physical observables
3.2.3 Isospin Relations
3.2.4 Reparameterization Invariance
3.2.5 Parameterizations
3.2.6 The B0 → K∗+π− and B0 → K∗0π0 subsystemand the CPS/GPSZ technique
3.2.7 Hadronic hypothesis
3.2.8 Conclusion
3.3 Isospin Analysis for the B → ρK modes
3.3.1 Introduction
3.3.2 Decay Amplitudes
3.3.3 The physical observables
3.3.4 Hadronic hypothesis
3.3.5 Conclusion
3.4 Combining the B → K∗π and B → ρK modes
3.4.1 Introduction
3.4.2 The physical observables
3.4.3 Hadronic hypothesis
3.4.4 Conclusion
3.5 Strategies for a phenomenological analysis
II PEP-II and the BABAR Experiment 
4 An Introduction to the BABAR experiment 
4.1 e+e− B factories and PEP-II
4.1.1 The LINAC and the storage rings
4.1.2 The interaction region
4.1.3 Monitoring of the beam parameters
4.1.4 Machine backgrounds
4.1.5 The continuous injection system
4.1.6 Types of data delivered
4.1.7 Performance
4.2 The BABAR Detector
4.2.1 The Silicon Vertex Tracker (SVT)
4.2.2 The Drift Chamber (DCH)
4.2.3 Performance of the charged particle tracking system
4.2.4 The Detector of Internally Reflected Cerenkov Light (DIRC)
4.2.5 The Electromagnetic Calorimeter (EMC)
4.2.6 The Superconducting Solenoid Magnet
4.2.7 The Instrumented Flux Return (IFR)
4.2.8 The Trigger
4.2.9 The Data Acquisition System (DAQ)
4.2.10 Online Prompt Reconstruction (OPR)
III Analysis of the B0 → K0S π+π− mode 
5 Data Sample, Reconstruction and Selection 
5.1 The Data Sample
5.1.1 The On-peak and Off-peak data samples
5.1.2 Monte Carlo Samples
5.2 Reconstruction
5.2.1 Tracking algorithms
5.2.2 Calorimeter algorithms
5.2.3 Particle identification (PID)
5.2.4 Vertexing
5.3 The flavor tagging
5.3.1 The BABAR flavor tagging algorithm
5.4 t measurement
5.4.1 z Measurement
5.4.2 t Calculation
5.4.3 t resolution Model
5.5 Event Kinematics and Shape
5.5.1 Kinematics
5.5.2 Event topology
5.6 Main discriminant Variables
5.6.1 Kinematic Variables
5.6.2 Shape Variables and the neural network
5.7 Event Selection
5.7.1 Multiple candidates
5.7.2 Misreconstructed signal and migration over the DP
5.8 B-background
5.8.1 Neutral B background
5.8.2 Charged B background
5.8.3 Summary on B background
6 The Maximum Likelihood Fit 
6.1 The likelihood function
6.2 Correlation of fit variables with Dalitz Plot, tag and tagging category
6.3 Parameterization of distributions
6.3.1 E, mES and NN parameterizations
6.3.2 Time and Dalitz Plot PDFs
6.3.3 B background parameterization
6.3.4 Continuum parameterization
6.4 Validation of fit performance with toy studies
6.4.1 Signal-only high statistics toys
6.4.2 Realistic toys with signal, continuum and B background components
6.5 Likelihood vs. 2βeff (f0(980)K0S ) Scans
6.5.1 High statistics, signal-only likelihood scans
6.6 Studies using fully simulated MC samples
6.6.1 Dalitz plot model for embedded fits
6.6.2 Embedded fits
6.7 Extraction of confidence intervals on the physical parameters
6.7.1 The statistical likelihood scans
6.7.2 Convolution with systematic uncertainties
6.8 The Nominal Signal Model
7 Results 
7.1 Goodness of Fit and Likelihood Projections
7.1.1 Discriminant Variables
7.1.2 Dalitz Spectra
7.1.3 Time-dependent Asymmetries
7.2 Results on Physical Parameters
7.2.1 Measurement of sin 2(βeff) in penguin dominated modes
7.2.2 The measurement of the CPS/GPSZ phase difference
7.2.3 Results on direct CP asymmetries
7.2.4 Fit fractions and significance of small components
7.2.5 Results on other phase differences
7.2.6 Summary on results
7.2.7 Average signal efficiency and branching fractions
7.3 Systematics uncertainties
7.3.1 Reconstruction and SCF model
7.3.2 KS reconstruction and tracking efficiencies, PID and luminosity
7.3.3 Fixed parameters in the likelihood
7.3.4 Tag-Side Interference Effects
7.3.5 Continuum PDF
7.3.6 B-background PDF
7.3.7 Signal Model Systematics
7.3.8 Total Systematics
7.4 Conclusion
IV Results Interpretation 
8 Interpretation of experimental results of the B → K∗π and B → ρK Modes 
8.1 The Rfit approach
8.2 Experimental Measurements
8.3 Isospin analysis of the B → K∗π modes
8.3.1 Constraints on unmeasured experimental measurements
8.3.2 Constraints on the ratio of QCD amplitudes
8.3.3 Constraints on the (¯ρ, ¯η) plane
8.4 Isospin analysis of the B → Kρ system
8.5 Isospin analysis of the combined B → K∗π and B → ρK modes
8.5.1 Constraints on unavailable experimental measurements
8.5.2 Constraints on the ratio of QCD amplitudes
8.5.3 Constraints on the φ3/2 observable
8.5.4 Extrapolation to 2015
8.6 Summary
9 Conclusion 
9.1 Time-dependent amplitude analysis of the charmless decay mode B0 → K0S π+π−
9.2 Phenomenological Interpretation of the B → K∗π and B → Kρ modes
V Appendix 
A Probability density distributions of fit variables 
A.1 Signal and Continuum background
A.1.1 The kinematic variables, mES and E
A.2 The Neural Network
A.3 PDFs for B Backgrounds
A.3.1 B0 → D−(→ K0S π−)π+
A.3.2 B0 → J/ (→ ℓ+ℓ+)K0S
A.3.3 Other B backgrounds
B Probing the Signal DP Model 
B.1 Addition of other components to the minimal model
B.2 Probing for a non-resonant component
B.3 Probing the signal around mππ ∼ 1.5 GeV/c2
B.4 Probing the mKSπ spectrum above ∼ 1.5 GeV/c2
B.5 Summary
C List of Fixed Parameters in the Nominal Fit

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