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Table of contents
Introduction
I Theoretical overview and brief experimental status
1 Flavor physics and CP violation in the Standard Model
1.1 Weak interactions in the flavor sector
1.2 Quark mixing and the CKM matrix
1.3 Mixing and CP violation in the B meson system
1.3.1 Mixing of neutral B mesons
1.3.2 CP violation in the B mesons
1.4 Trees and Penguins
2 The photon polarization in radiative B decays and the K1(1270) resonance
2.1 The photon polarization
2.2 Physical observables and experimental status
2.2.1 Mixing-induced CP asymmetry
2.2.2 Other methods
2.3 Status of the K1(1270) resonance description
2.3.1 Axial-vector K1 resonances
2.3.2 The Kπ S-wave in K1(1270) decays
2.3.3 Width of the K1(1270)
II BABAR and PEP-II
3 An asymmetric e+e− collider: PEP-II
3.1 The LINAC and the storage ring
3.2 The interaction region
3.3 Machine backgrounds
3.4 The injection system
3.5 Performance
4 The BABAR Detector
4.1 The Silicon Vertex Tracker (SVT)
4.2 The Drift Chamber (DCH)
4.3 The Detector of Internally Reflected ˇCerenkov Light (DIRC)
4.4 The Electromagnetic Calorimeter (EMC)
4.5 The Instrumented Flux Return (IFR)
4.6 The Trigger system
4.7 Data acquisition
4.8 Online prompt reconstruction
III Analysis
5 Data samples and analysis techniques
5.1 Monte Carlo and data samples
5.1.1 Monte Carlo samples
5.1.2 On-Peak and Off-Peak data samples
5.2 Reconstruction
5.2.1 Tracking algorithms
5.2.2 Calorimeter algorithms
5.2.3 Particle identification
5.2.4 Vertexing
5.3 Discriminating variables
5.3.1 Kinematic variables
5.3.2 Event-shape variables
5.3.3 Fisher discriminant
5.4 The maximum likelihood fit
5.4.1 Extended maximum likelihood fit
5.4.2 Error estimations
5.4.3 Toy Monte Carlo
5.4.4 The sPlot technique
6 Analysis of B+ → K+π−π+γ decays: study of the Kππ resonant structure
6.1 Signal Monte Carlo cocktail
6.2 Event Selection
6.2.1 Skim
6.2.2 Selection cuts
6.2.3 Cut Optimization
6.2.4 Multiple candidate selection
6.2.5 Efficiency
6.3 Signal study
6.3.1 Truth matching
6.3.2 Expected yields
6.4 Backgrounds study
6.4.1 B backgrounds
6.4.2 Continuum background
6.4.3 Expected background yields
6.5 Fit to mES, E and Fisher
6.5.1 Signal PDFs
6.5.2 Background PDFs
6.5.3 Fitting functions
6.5.4 Validation tests
6.5.5 Fit yields and projections
6.6 Fit to the mKππ spectrum
6.6.1 Fit model
6.6.2 Fit results
6.7 Fit to the mKπ spectrum
6.7.1 Efficiency correction
6.7.2 Fit model
6.7.3 Fit results
6.7.4 Study of the model consistency
6.7.5 Angular moments and results interpretation
6.8 The dilution factor
6.8.1 Analytical expression of the dilution factor
6.8.2 Extraction of the dilution factor
6.9 Systematics
6.9.1 Fit to the mKππ spectrum
6.9.2 Fit to the mKπ spectrum
7 Time Dependent Analysis of B0 → K0 Sπ+π−γ decays: probing the photon helicity
7.1 Time-dependent model
7.1.1 Flavor tagging
7.1.2 t measurement and resolution
7.1.3 Signal t PDF
7.1.4 Background t PDFs
7.2 Signal Monte Carlo cocktail
7.3 Event selection
7.3.1 Selection cuts
7.3.2 Cut Optimization
7.3.3 Efficiency
7.4 Classification of signal events
7.5 Background study
7.5.1 B backgrounds
7.5.2 Continuum background
7.6 Fit to mES, E, the Fisher discriminant and t
7.6.1 Signal PDFs
7.6.2 Background PDFs
7.6.3 Fitting functions
7.6.4 Parameters of the t PDFs
7.6.5 Validation tests
7.6.6 Results
7.7 Time-dependent analysis systematics
Summary, conclusion and perspectives
Appendix
A Probability Density Function Definitions
A.1 Gaussian function
A.2 Bifurcated Gaussian function
A.3 Cruijff function
A.4 Crystal Ball function
A.5 Argus function
A.6 Exponential function
A.7 Linear function
B Fragmentation corrective weights
C Kaonic resonances distortion
D Parametrization of TM mES-E correlations
D.1 Study of E Cruijff parameters dependence in mES bins
D.2 Fit projections
D.2.1 mES projections in E bins
D.2.2 E projections in mES bins
E Toy studies for the charged channel analysis
E.1 Self-cross-feed fraction
E.2 Pure toy studies
E.3 Embedded toy studies
F B+ → K+π−π+γ fit projection study
F.1 Study of the mES and the Fisher discriminant fit projections
F.2 Study of the E fit projection
G Toy studies for the time-dependent analysis
G.1 Pure toy studies
G.2 Embedded toy studies
Bibliography
