Progress Calculating Decay Constants with NRQCD and AsqTad Actions

TL;DR

This paper computes decay constants of heavy-light mesons using NRQCD and AsqTad actions on MILC gauge configurations, providing preliminary results for $f_{B_s}$ and $f_{D_s}$ and discussing perturbative matching.

Contribution

It introduces a combined approach using NRQCD and AsqTad actions to calculate heavy-light meson decay constants on 3-flavor gauge configurations, with new preliminary results.

Findings

Preliminary values for $f_{B_s}$ and $f_{D_s}$ are presented.

Status of the chiral extrapolation to $f_B$ is discussed.

Perturbative 1-loop matching results are included.

Abstract

We combine a light AsqTad antiquark with a nonrelativistic heavy quark to compute the decay constants of heavy-light pseudoscalar mesons using the ensemble of 3-flavor gauge field configurations generated by the MILC collaboration. Preliminary results for $f_{B_s}$ and $f_{D_s}$ are given and status of the chiral extrapolation to $f_B$ is reported. We also touch upon results of the perturbative calculation which matches matrix elements in the effective theory to the full theory at 1-loop order.