The n_f=2 residual mass in lattice HQET to alpha^3 order

TL;DR

This paper calculates the residual mass in lattice HQET to third order in alpha for two-flavor unquenched QCD, which is vital for accurately determining the b-quark mass from lattice data.

Contribution

It provides a third-order perturbative calculation of the residual mass in unquenched lattice HQET, improving the precision of heavy quark mass determinations.

Findings

Residual mass computed to alpha^3 order for n_f=2

Enhanced accuracy in b-quark mass extraction from lattice data

Implications for unquenched lattice QCD simulations

Abstract

We compute the so called residual mass in Lattice Heavy Quark Effective Theory to alpha^3 order in the n_f=2 (unquenched) case. The control of this additive mass renormalization is crucial for the determination of the heavy quark mass from lattice simulations. We discuss the impact on an unquenched determination of the b-quark mass.