Progress in kaon physics on the lattice

Abstract

CKM-unitarity, direct and indirect CP-violation and the ΔI=1/2 rule in full lattice QCD are the focus of this talk. To this end I will discuss and compare recent lattice results for leptonic, semi-leptonic and non-leptonic decays of the kaon and neutral kaon mixing and I will motivate current best estimates f_K/f_π=1.198(10), f_+^{Kπ}(0)=0.964(5) and \hat{B}_K=0.720(39). Moreover new theoretical advances that will improve the quality of these computations in the future will be discussed.

22pages, Plenary talk at the 25th International Symposium on Lattice Field Theory, Regensburg, Germany, 30 Jul - 4 Aug 2007

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• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Observation of Direct CP Violation in K_{S,L} to ππDecays
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• A new measurement of direct CP violation in two pion decays of the neutral kaon
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Improved Calculation of Electroweak Radiative Corrections and the Value of V_ud
• Twisted Boundary Conditions in Lattice Simulations
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Aharonov-Bohm effect and nucleon-nucleon phase shifts on the lattice
• Finite volume effects for meson masses and decay constants
• Decay width of light quark hybrid meson from the lattice
• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• Precise Determination of |V{us}| from Lattice Calculations of Pseudoscalar Decay Constants
• On the discretization of physical momenta in lattice QCD
• The < S P P > Green function and SU(3) breaking in K_{l3} decays
• Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory
• Quenched Chiral Perturbation Theory for Heavy-light Mesons
• Kaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case
• 2+1 flavor domain wall QCD on a (2 fm)^3 lattice: light meson spectroscopy with Ls = 16
• Quark mass dependence of hadron masses from lattice QCD
• The K -> pi vector form factor at zero momentum transfer on the lattice
• Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks
• Twisted valence quarks and hadron interactions on the lattice
• Kl3 semileptonic form factor from 2+1 flavour lattice QCD
• Neutral kaon mixing from 2+1 flavor Domain Wall 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
• Lattice study of semileptonic form factors with twisted boundary conditions
• Hadronic form factors in Lattice QCD at small and vanishing momentum transfer
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• K_l3 form factors at order p^6 in chiral perturbation theory
• A Numerical Study of Partially Twisted Boundary Conditions
• Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
• Vector form factor in K_l3 semileptonic decay with two flavors of dynamical domain-wall quarks
• Constraints on the form factors for K --> pi l nu and implications for V_us
• Unquenched determination of the kaon parameter B_K from improved staggered fermions
• K0-K0bar Mixing with Wilson Fermions without Subtractions
• Perturbative matching of staggered four-fermion operators with hypercubic fat links
• K^+ -> pi^+ pi^0 Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion
• B_K in Staggered Chiral Perturbation Theory
• A precise determination of $B_K$ in quenched QCD
• Rooted staggered fermions: good, bad or ugly?
• Lattice QCD with two light Wilson quarks and maximally twisted mass
• On lattice extraction of K --> pi pi amplitudes to O(p^4) in Chiral Perturbation Theory
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• Status of the MILC light pseudoscalar meson project
• An exploratory lattice study of DI=3/2 K -> pi pi decays at next-to-leading order in the chiral expansion
• Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD
• Full CKM matrix with lattice QCD
• Lattice extraction of $K\to \pi \pi$ amplitudes to NLO in partially quenched and in full chiral perturbation theory
• Non-perturbative renormalisation of left-left four-fermion operators with Neuberger fermions
• The Kaon B-parameter in Mixed Action Chiral Perturbation Theory
• The Ademollo-Gatto theorem for lattice semileptonic decays
• K_l3 form factor with N_f=2+1 dynamical domain wall fermions: A progress report
• Pseudo-scalar meson form factors with maximally twisted Wilson fermions at Nf = 2
• Progress in Kaon Physics on the Lattice
• Probing the chiral limit with clover fermions II: The baryon sector
• 2+1 flavour Domain Wall Fermion simulations by the RBC and UKQCD collaborations
• Exploring the chiral regime with dynamical overlap fermions
• Nf=2+1 dynamical Wilson quark simulation toward the physical point
• B_K with dynamical overlap fermions
• Chiral Limit and Light Quark Masses in 2+1 Flavor Domain Wall QCD
• Precision tests with Kl3 and Kl2 decays

Cited by in corpus (3)

• The ratio FK/Fpi in QCD
• Non-perturbative renormalisation of Delta F=2 four-fermion operators in two-flavour QCD
• Determination of the $\Delta S=1$ weak Hamiltonian in the SU(4) chiral limit through topological zero-mode wave functions