Kaon physics: a lattice perspective

Abstract

I critically review recent lattice QCD results relevant for kaon phenomenology, as well as the methods that are used to obtain them. The focus is on calculations with N_f=2 and N_f=2+1 flavors of sea quarks. Concerning methodology, the subjects covered include a discussion of how best to extrapolate and/or interpolate results to the physical quark-mass point, a scheme for assessing the extent to which a lattice QCD calculation includes the various effects required to compute a given quantity reliably and a procedure for averaging lattice results. The phenomenological topics that I review comprise leptonic and semileptonic kaon decays, as well as neutral kaon mixing and CP violation in K->ππdecays.

22 LaTeX pages, 11 ps figures, plenary talk at the XXVI International Symposium on Lattice Field Theory, July 14-19, 2008, Williamsburg, VA, USA. v2. References and discussion added in Sec. 5. Discussions in Sec. 2 and 2.1 improved. Two criteria in Sec. 3.1 slightly modified and resulting changes implemented. World averages unchanged. v3. Typos corrected

References in corpus (24)

• 2+1 Flavor Lattice QCD toward the Physical Point
• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Physical Results from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturbation Theory
• Correlations among new CP violating effects in Delta F = 2 observables
• Possible Indications of New Physics in Bd-mixing and in sin(2 beta) Determinations
• The pion's electromagnetic form factor at small momentum transfer in full lattice QCD
• Kl3 semileptonic form factor from 2+1 flavour lattice QCD
• Neutral kaon mixing from 2+1 flavor Domain Wall QCD
• Hadronic form factors in Lattice QCD at small and vanishing momentum transfer
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• Vector form factor in K_l3 semileptonic decay with two flavors of dynamical domain-wall quarks
• On the consistency between the observed amount of CP violation in the K- and Bd-systems within minimal flavor violation
• Unquenched determination of the kaon parameter B_K from improved staggered fermions
• B_K with two flavors of dynamical overlap fermions
• Status of the MILC light pseudoscalar meson project
• Full CKM matrix with lattice QCD
• Physical results from 2+1 flavor Domain Wall QCD
• Light pseudoscalar meson masses and decay constants from mixed action lattice QCD
• Pseudo-scalar meson form factors with maximally twisted Wilson fermions at Nf = 2
• Chiral perturbation theory, K to pi pi decays and 2+1 flavor domain wall QCD
• Kl3 and pion form factors using partially twisted boundary conditions
• Analytical approaches to the calculation of f+(0)
• Calculating $B_K$ using HYP staggered fermions

Cited by in corpus (17)

• Review of lattice results concerning low energy particle physics
• Sigma term and strangeness content of octet baryons
• Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD
• Dispersive representation and shape of the Kl3 form factors: robustness
• The ratio FK/Fpi in QCD
• Lattice QCD at the physical point meets SU(2) chiral perturbation theory
• BK-parameter from Nf = 2 twisted mass lattice QCD
• On the consistency between the observed amount of CP violation in the K- and Bd-systems within minimal flavor violation
• $K\to \pi \pi$ Decays in SU(2) Chiral Perturbation Theory
• Chiral extrapolation and determination of low-energy constants from lattice data
• Stringent constraints on the scalar K pi form factor from analyticity, unitarity and low-energy theorems
• When Effective Field Theories Fail
• Topics in Lattice QCD and Effective Field Theory
• Lattice Kaon Physics
• The CKM Matrix from Lattice QCD
• The $D\pi$ form factors from analyticity and unitarity
• Analytic Approximations for the Extrapolation of Lattice Data