One-Loop Matching of the Heavy-Light A_0 and V_0 Currents with NRQCD Heavy and Improved Naive Light Quarks

TL;DR

This paper performs one-loop matching calculations for heavy-light currents using improved lattice actions, incorporating dimension 4 operators and providing results for NRQCD self energy and light quark wavefunction renormalization.

Contribution

It introduces a comprehensive one-loop matching framework for heavy-light currents with improved lattice actions, including effects of higher-dimension operators.

Findings

Calculated one-loop matching coefficients for heavy-light currents.

Provided self energy and wavefunction renormalization results for NRQCD and Asqtad quarks.

Enhanced precision in lattice QCD calculations of heavy-light systems.

Abstract

One-loop matching of heavy-light currents is carried out for a highly improved lattice action, including the effects of dimension 4 O(1/M) and O(a) operators. We use the NRQCD action for heavy quarks, the Asqtad improved naive action for light quarks, and the Symanzik improved glue action. As part of the matching procedure we also present results for the NRQCD self energy and for massless Asqtad quark wavefunction renormalization with improved glue.