Finite volume effects in $B_K$ with improved staggered fermions

Abstract

We extend our recent unquenched ($N_f=2+1$ flavor) calculation of $B_K$ using improved staggered fermions by including in the fits the finite volume shift predicted by one-loop staggered chiral perturbation theory. The net result is to lower the result in the continuum limit by 0.6%. This shift is slightly smaller than our previous estimate of finite volume effects based on a direct comparison between different volumes. To include the finite volume effects in a reasonable time, we found it necessary to calculate them using Graphics Processing Units.

4 pages, 6 figures, references updated

References in corpus (4)

• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Finite volume effects for meson masses and decay constants
• Partial Flavor Symmetry Restoration for Chiral Staggered Fermions
• $B_K$ using HYP-smeared staggered fermions in $N_f=2+1$ unquenched QCD

Cited by in corpus (13)

• FLAG Review 2019
• QCD and strongly coupled gauge theories: challenges and perspectives
• Review of lattice results concerning low energy particle physics
• Improved determination of $B_K$ with staggered quarks
• Kaon BSM B-parameters using improved staggered fermions from $N_f=2+1$ unquenched QCD
• Neutral kaon mixing from new physics: matrix elements in $N_f=2+1$ QCD
• Kaon $B$-parameter from improved staggered fermions in $N_f=2+1$ QCD
• Taste non-Goldstone, flavor-charged pseudo-Goldstone boson masses in staggered chiral perturbation theory
• Review: The FLAG working group
• Taste non-Goldstone, flavor-charged pseudo-Goldstone boson decay constants in staggered chiral perturbation theory
• Recent progress in calculation of $B_K$ using staggered fermions
• $B_K$ from improved staggered fermions using SU(3) chiral perturbation theory
• Continuum extrapolation of $B_K$ with staggered fermions