Matching of the Heavy-Light Currents with NRQCD Heavy and Improved Naive Light Quarks

TL;DR

This paper presents one-loop matching calculations for heavy-light currents using improved lattice actions, accounting for operator mixings, to support precise heavy meson decay and form factor studies.

Contribution

It provides the first detailed one-loop matching results for heavy-light currents with highly improved lattice actions including operator mixings.

Findings

Matching coefficients computed for heavy-light currents.

Results facilitate accurate decay constant and form factor calculations.

Inclusion of O(1/M) and O(a) operator effects.

Abstract

One-loop matching of heavy-light currents is carried out for a highly improved lattice action, including the effects of mixings with 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. These results are being used in recent heavy meson decay constant and semileptonic form factor calculations on the MILC dynamical configurations.