One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement

TL;DR

This paper presents a detailed perturbative analysis of O(g^2a) operator matching in lattice QCD with static heavy and domain-wall light quarks, emphasizing the importance of O(a) corrections for precise B-meson decay and mixing calculations.

Contribution

It provides the first comprehensive calculation of O(a) corrections for these operators, including various gluon actions and link-smearing techniques, crucial for high-precision CKM physics.

Findings

O(a) corrections are significant for accurate results.

Operator mixing occurs despite chiral symmetry of domain-wall quarks.

Results include multiple gluon actions and link-smearing methods.

Abstract

We discuss perturbative O(g^2a) matching with static heavy quarks and domain-wall light quarks for lattice operators relevant to B-meson decays and $B^0$-$\bar{B}^0$ mixing. The chiral symmetry of the light domain-wall quarks does not prohibit operator mixing at O(a) for these operators. The O(a) corrections to physical quantities are non-negligible and must be included to obtain high-precision simulation results for CKM physics. We provide results using plaquette, Symanzik, Iwasaki and DBW2 gluon actions and applying APE, HYP1 and HYP2 link-smearing for the static quark action.