Fritzsch, Patrick: B-meson properties from non-perturbative matching of HQET to finite-volume two-flavour QCD : B-meson properties from non-perturbative matching of HQET to finite volume two-flavour QCD. 2009
Inhalt
- Introduction
- Non-perturbative renormalization in QCD
- Renormalization applied to QCD
- The running coupling
- The running mass
- Running of multiplicatively renormalized operators
- Examples for a non-perturbative running
- The lattice regularisation of QCD
- The Schrödinger functional renormalization scheme
- Formal definition
- The SF renormalized coupling
- Quarks in the SF
- The Wilson action revisited
- Expectation values of composite operators
- Fermion correlation functions
- Renormalization of correlation function
- Effective masses
- Running of matrix elements
- Heavy Quark Effective Theory and its non-perturbative matching to QCD
- The physical picture
- HQET on the lattice
- 1/mb-expansion and renormalization of heavy-light currents
- Strategy for a non-perturbative matching of QCD and HQET in finite volume
- Example: The matching strategy in the static case
- Perturbative conversion factors between QCD and HQET
- Setup of lattice simulations
- Computation of improvement and renormalization factors
- The PCAC relation
- Strategy to compute bA-bP, bm and Z
- Results for estimators RX
- Hopping parameters at fixed RGI heavy quark mass z=LM
- Non-perturbative tests of HQET
- Observables for non-perturbative tests of HQET
- Conversion functions between QCD and HQET
- Tree-level improvement of test observables
- Results
- An outlook
- Summary
- The Renormalization group
- Definitions and conventions
- The group N
- The Dirac algebra
- Definitions on the lattice
- Finite volume continuum gauge fields
- Schrödinger functional correlation functions
- Optimization techniques
- Error estimation techniques
- Tables for matching QCD and HQET
- Further figures & tables
- References
- Acknowledgments
- Selbstständigkeitserklärung