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Model study of charm loop effects / Salvatore Calì. Wuppertal, June 2019
Inhalt
Contents
List of Figures
List of Tables
1 Introduction
1.1 A brief overview of the Standard Model and QCD
1.2 Introduction to this work
2 Quantum Chromodynamics
2.1 Continuum QCD
2.1.1 Renormalization
2.1.2 Lambda parameter and RGI mass
2.1.3 The running of the coupling
2.2 Flavor symmetries of the QCD Lagrangian
2.2.1 Summary at the classical level
2.2.2 Chiral symmetries
2.2.3 Noether currents associated with the chiral symmetry group
2.2.4 Spontaneous symmetry breaking
2.3 Decoupling of heavy quarks
2.3.1 Matching
3 Lattice QCD and description of our model study
3.1 Lattice QCD approach
3.2 Standard discretization
3.2.1 Wilson's plaquette action and naive fermion action
3.2.2 Fermion doubling and Wilson term
3.2.3 Features of Wilson's action
3.3 The clover fermion action
3.4 Twisted mass QCD
3.4.1 Basic formulation for nf2 tmQCD
3.4.2 Relation between currents in physical and twisted basis
3.4.3 Renormalization of tmQCD with Wilson quarks
3.4.4 O(a) improvement at maximal twist
3.5 Computing observables
3.5.1 Error analysis
3.5.2 Scale setting
3.5.3 Continuum limit
3.6 Open boundary conditions
3.7 Typical QCD simulations
3.8 Our model to study charm physics
4 Observables and Methodology
4.1 Correlation functions
4.1.1 Meson correlators
4.1.2 Stochastic sources
4.1.3 Mass derivatives
4.2 Decay constants
4.2.1 Extraction of matrix elements
4.3 Wilson loops
4.3.1 QCD static potential
4.3.2 Strong coupling alphaqq
4.4 Smearing techniques
4.4.1 APE smearing
4.4.2 HYP smearing
4.5 Static-charm mesons
4.6 Wilson flow
4.7 Description of the lattice setup
5 Charm sea effects on the strong coupling alphaqq and on the static potential
5.1 Wilson loop measurements
5.2 Static potential
5.3 Estimate of the string breaking distance for nf2
5.4 Determination of the betaqq-function
5.4.1 Best-fit procedure
5.4.2 Best-fit results
5.5 Strong coupling alphaqq
5.6 Lambda parameter in nf0 QCD
6 Charm sea effects on charmonium systems and RGI mass
6.1 Computing meson masses and decay constants
6.2 Tuning of the twisted mass parameter
6.2.1 Mass shifts
6.2.2 Data analysis
6.3 Results
6.3.1 Meson masses and hyperfine splitting
6.3.2 Decay constants
6.3.3 RGI mass
7 Conclusions and future plans
Bibliography