A proposal for B-physics on current lattices

TL;DR

This paper introduces a method to determine B-physics parameters from lattice data by constructing ratios with known static limits, enabling precise interpolation from charm to bottom quark masses.

Contribution

It presents a novel ratio-based approach for extracting B-physics parameters from lattice QCD data, tested with Nf=2 twisted Wilson fermions.

Findings

Achieved a few percent total error in B-physics parameters.

Successfully interpolated from charm to bottom quark masses.

Validated the method with current lattice data.

Abstract

A method to extract B-physics parameters (b-quark mass and fB, fBs decay constants) from currently available lattice data is presented and tested. The approach is based on the idea of constructing appropriate ratios of heavy-light meson masses and decay constants, respectively, possessing a precisely known static limit, and evaluating them at various pairs of heavy quark masses around the charm. Via a smooth interpolation in the heavy quark mass from the easily accessible charm region to the asymptotic point, B-physics parameters are computed with a few percent (statistical + systematic) error using recently produced Nf=2 maximally twisted Wilson fermions data.