Perturbative renormalization for static and domain-wall bilinears and four-fermion operators with improved gauge actions

TL;DR

This paper computes one-loop renormalization factors for heavy-light and four-fermion operators using static and domain-wall quarks with improved gauge actions, aiding lattice QCD calculations of B-meson mixing.

Contribution

It provides new one-loop renormalization factors for operators relevant to B-meson mixing using static and domain-wall fermions with various improved gauge actions.

Findings

Renormalization factors for heavy-light bilinears calculated.

Results applicable to B0-ar{B}0} mixing studies.

Comparison across different improved gauge actions.

Abstract

We calculate one-loop renormalization factors for heavy-light bilinears as well as four-fermion operators relevant for $B^{0} - \bar{B}^{0}$ mixing calculations on the lattice. We use the static approximation for heavy quarks and the domain-wall formulation for light quarks. We present results for different choices of improved gauge action.