B_K in Staggered Chiral Perturbation Theory

Abstract

We calculate the kaon B-parameter, B_K, to next-to-leading order in staggered chiral perturbation theory. We find expressions for partially quenched QCD with three sea quarks, quenched QCD, and full QCD with m_u = m_d but not equal to m_s. We extend the usual power counting to include the effects of using perturbative (rather than non-perturbative) matching factors. Taste breaking enters through the O(a^2) terms in the effective action, through O(a^2) terms from the discretization of operators, and through the truncation of matching factors. These effects cause mixing with several additional operators, complicating the chiral and continuum extrapolations. In addition to the staggered expressions, we present B_K at next-to-leading order in continuum partially quenched chiral perturbation theory for N_f=3 sea quarks with m_u = m_d but not equal to m_s.

56 pages, 3 figures (v3: Corrected normalization error in Eq.(4) and subsequent equations; physics results unchanged. Version accepted to Phys. Rev. D.)

References in corpus (5)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Staggered Chiral Perturbation Theory at Next-to-Leading Order
• Staggered Chiral Perturbation Theory with Heavy-Light Mesons
• B_K from improved staggered quarks

Cited by in corpus (25)

• FLAG Review 2019
• FLAG Review 2021
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Physical Results from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturbation Theory
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• FLAG Review 2024
• $B_K$ using HYP-smeared staggered fermions in $N_f=2+1$ unquenched QCD
• Improved determination of $B_K$ with staggered quarks
• Ginsparg-Wilson Pions Scattering in a Sea of Staggered Quarks
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• Unquenched determination of the kaon parameter B_K from improved staggered fermions
• Discretization effects and the scalar meson correlator in mixed-action lattice simulations
• Kaon $B$-parameter from improved staggered fermions in $N_f=2+1$ QCD
• Kaon mixing matrix elements from beyond-the-Standard-Model operators in staggered chiral perturbation theory
• Taste symmetry breaking with HYP-smeared staggered fermions
• The Kaon B-parameter in Mixed Action Chiral Perturbation Theory
• One-loop matching of improved four-fermion staggered operators with an improved gluon action
• Neutral B Mixing in Staggered Chiral Perturbation Theory
• Light pseudoscalar meson masses and decay constants from mixed action lattice QCD
• Progress in kaon physics on the lattice
• Topics in Effective Field Theory for Lattice QCD
• Covariance fitting of highly correlated data in lattice QCD
• The Kaon B-Parameter in Staggered Chiral Perturbation Theory
• Recent progress in staggered chiral perturbation theory
• One loop matching factors for improved staggered four-fermion operators with improved glue