Preliminary heavy-light decay constants from the MILC collaboration

TL;DR

This paper presents preliminary lattice QCD calculations of heavy-light decay constants for B and D mesons, analyzing systematic errors across different lattice parameters and quark treatments.

Contribution

It provides new decay constant estimates using quenched lattice QCD with Wilson and static quarks, and assesses systematic uncertainties in these calculations.

Findings

Decay constants for B, B_s, D, D_s computed

Systematic errors quantified for lattice spacing and volume

Results contribute to understanding heavy-light meson properties

Abstract

Preliminary results from the MILC collaboration for $f_B$, $f_{B_s}$, $f_D$, $f_{D_s}$ and their ratios are presented. We compute in the quenched approximation at $\beta=6.3$, 6.0 and 5.7 with Wilson light quarks and static and Wilson heavy quarks. We attempt to quantify systematic errors due to finite volume, finite lattice spacing, large $am$, and fitting and extrapolation uncertainties. The hopping parameter approach of Henty and Kenway is used to treat the heavy quarks; the sources are Coulomb gauge gaussians.