Progress in Kaon Physics on the Lattice

Abstract

We review recent progress in calculating kaon spectrum, pseudoscalar meson decay constants, $B_K$, ${\epsilon }^{\prime }/\epsilon$, $K\to \pi \pi$ matrix elements, kaon semileptonic form factors, and moments of kaon distribution amplitudes on the lattice. We also address the issue of how best to improve the staggered fermion formulation for the action and operators.

29 pages, 21 figures, Lattice 2006 conference proceeding (plenary talk), a few minor revisions

References in corpus (25)

• Finite-Volume Effects for Two-Hadron States in Moving Frames
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Partial Flavor Symmetry Restoration for Chiral Staggered Fermions
• Finite Volume Corrections to the Two-Particle Decay of States with Non-Zero Momentum
• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory
• The K -> pi vector form factor at zero momentum transfer on the lattice
• Kaon B parameter from quenched Lattice QCD
• Kaon B parameter from quenched domain-wall QCD
• Calculation of Non-Leptonic Kaon Decay Amplitudes from $K\to \pi$ Matrix Elements in Quenched Domain-Wall QCD
• K^0-\bar K^0 mixing beyond the standard model and CP-violating electroweak penguins in quenched QCD with exact chiral symmetry
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• I=2 Pion Scattering Phase Shift with Wilson Fermions
• Vector form factor in K_l3 semileptonic decay with two flavors of dynamical domain-wall quarks
• Model Independent Results for SU(3) Violation in Light-Cone Distribution Functions
• One-loop matching coefficients for improved staggered bilinears
• Unquenched determination of the kaon parameter B_K from improved staggered fermions
• Rooted staggered fermions: good, bad or ugly?
• Perturbative improvement of staggered fermions using fat links
• Flavor Dynamics
• Testing improved staggered fermions with $m_s$ and $B_K$
• Analytic estimates for penguin operators in quenched QCD
• Systematic effects of the quenched approximation on the strong penguin contribution to epsilon'/epsilon
• Twisted mass QCD for weak matrix elements

Cited by in corpus (6)

• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• Combining Direct & Indirect Kaon CP Violation to Constrain the Warped KK Scale
• Non-perturbative renormalization of the static axial current in two-flavour QCD
• Non-perturbative renormalisation of Delta F=2 four-fermion operators in two-flavour QCD
• Progress in kaon physics on the lattice
• Twisted mass QCD for weak matrix elements