The B*Bpi coupling using relativistic heavy quarks

TL;DR

This paper presents a lattice QCD calculation of the B*Bpi coupling directly at the physical b-quark mass, providing a precise determination of a key low-energy constant in heavy meson chiral perturbation theory.

Contribution

It is the first direct lattice QCD calculation of the B*Bpi coupling at the physical b-quark mass, controlling systematic uncertainties and using multiple lattice spacings and pion masses.

Findings

Final result for g_b = 0.56(3)stat(7)sys

Achieved good statistical precision and systematic control

Performed at physical b-quark mass with multiple lattice spacings

Abstract

We report on a calculation of the B*Bpi coupling in lattice QCD. The strong matrix element for a B* to Bpi transition is directly related to the leading order low-energy constant in heavy meson chiral perturbation theory (HMChPT) for B mesons. We carry out our calculation directly at the b-quark mass using a non-perturbatively tuned clover action that controls discretization effects of order pa and (ma)^n for all n. Our analysis is performed on RBC/UKQCD gauge configurations using domain-wall fermions and the Iwasaki gauge action at two lattice spacings of ainverse = 1.729(25) GeV, ainverse = 2.281(28) GeV, and unitary pion masses down to 290 MeV. We achieve good statistical precision and control all systematic uncertainties, giving a final result for the HMChPT coupling g_b = 0.56(3)stat(7)sys in the continuum and at the physical light-quark masses. This is the first calculation performed directly at the physical b-quark mass and lies in the region one would expect from carrying out an interpolation between previous results at the charm mass and at the static point.