Lambda-bar, lambda_1 and m_b in three-flavor (lattice) QCD

TL;DR

This paper discusses how to determine heavy-quark parameters like  and  in lattice QCD and presents preliminary results for the bottom quark mass using these parameters.

Contribution

It introduces a method to extract heavy-quark effective theory parameters from lattice QCD data and provides initial estimates for the bottom quark mass.

Findings

Preliminary determination of  for the B_s meson.

First lattice QCD estimate of the bottom quark mass using these parameters.

Validation of the heavy-quark expansion approach in lattice simulations.

Abstract

The heavy-quark expansion for inclusive semi-leptonic B decays introduces $\bar{\Lambda}$ and $\lambda_1$, which are matrix elements in heavy-quark effective field theory. We review how they can be obtained from an analysis of the heavy quark mass dependence of heavy-light meson masses in lattice QCD. We present preliminary results for the bottom quark mass, $m_b$, using $\bar{\Lambda}$ and $\lambda_1$ for the $B_s$ meson from a 2+1 sea-flavor unquenched calculation.