Aspects of quark mass dependence in lattice QCD / Lukas Varnhorst. Wuppertal, [2020]
Inhalt
- Introduction
- Aspects of the standard model of particle physics and dark matter
- Structure of the standard model
- Dark matter
- SU(3) gauge theory
- The Lagrangian including quarks
- Symmetries of QCD
- Aspects of the renormalization of QCD
- Heavy flavor effective theories and quark contents
- The lattice formulation of gauge theories
- Numerical techniques
- Integration of fermionic fields
- The Metropolis algorithm and importance sampling
- The hybrid monte carlo algorithm
- Analysis strategies
- Statistical treatment
- Systematic uncertainties
- Spectral decomposition of correlation functions
- The Feynman Hellmann theorem
- Kolmogorov-Smirnov test
- Correlated fits
- The Higgs couplings of nucleons
- General strategy for light and strange sigma terms
- The 2hex analysis for light and stange sigma terms
- The lattice setup of the 2hex analysis
- Extracting masses
- The parametrization of the nucleon mass
- Estimation of systematic uncertainties
- Individual quark contents
- Results and conlcusion
- The 3hex analysis
- The lattice setup
- Advanced determination of the fitranges
- Mesonic sigma terms
- Mixing matrix
- Results for the light and strange sigma terms
- The charm sigma term from the lattice
- Heavy quark sigma terms
- Discussion
- Light quark mass difference and violations of Dashen's theorem
- The lattice setup
- Analysis procedure
- Estimation of systematic and statistical uncertainties
- Results and discussion
- Summary and conclusion
- References