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

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.

79 pages, LaTeX in JHEP style, v3: notation refined, Appendix E newly added, agree with published version

References in corpus (6)

• Two-loop renormalization of the effective field theory of a static quark
• Non-perturbative Heavy Quark Effective Theory
• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• On lattice actions for static quarks
• Improved Gauge Actions on Anisotropic Lattices I
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Cited by in corpus (6)

• FLAG Review 2019
• Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks
• Lambda_b -> Lambda l+ l- form factors and differential branching fraction from lattice QCD
• Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
• ${\Lambda }_b\to p{l}^{-}\bar{\nu }$ form factors from lattice QCD with static b quarks
• Matching lattice and continuum four-fermion operators with nonrelativistic QCD and highly improved staggered quarks