Signal at subleading order in lattice HQET

TL;DR

This paper investigates the correlators in lattice HQET beyond the static approximation, demonstrating that accurate measurements of quantities like decay constants and mass splittings are feasible with good statistical precision.

Contribution

It introduces methods to improve the signal quality of correlators in lattice HQET beyond the static limit, enabling precise calculations of B-meson properties.

Findings

Achieved reasonable statistical precision for $f_{B_s}$ and $M_{B^ ext{star}} - M_B$

Demonstrated effective signal-to-noise ratios in lattice HQET correlators

Extended the analysis beyond the static approximation in lattice HQET

Abstract

We discuss the correlators in lattice HQET that are needed to go beyond the static theory. Based on our implementation in the Schr\"odinger functional we focus on their signal-to-noise ratios and check that a reasonable statistical precision can be reached in quantities like $f_{B_s}$ and $M_{B^\star}-M_B$.