RESULTS FOR THE B-MESON DECAY CONSTANT FROM THE APE COLLABORATION

TL;DR

This paper presents lattice QCD calculations of the B-meson decay constant in the static limit, analyzing systematic uncertainties and comparing results with other studies.

Contribution

First lattice QCD determination of the B-meson decay constant in the static limit using Wilson and clover actions across multiple lattice spacings.

Findings

Contamination by excited states is within statistical uncertainties.

Finite lattice spacing effects are minimal.

Results are consistent with other studies.

Abstract

The decay constant for the B-meson in the static limit is calculated using the Wilson and clover actions at various lattice spacings. We show that both the contamination of our results by excited states and the effects finite lattice spacing are at most the order of the statistical uncertainties. A comparison is made of our results and those obtained in other studies. Values for $f^{stat}_{B_S}/f^{stat}_B$ and $M_{B_S} - M_B$ are also given.