A strategy for the computation of m_b including 1/m terms

TL;DR

This paper proposes a non-perturbative lattice QCD strategy to compute the b-quark mass including 1/m corrections within HQET, simplifying the matching process and ensuring continuum limit calculations.

Contribution

It introduces a new method for calculating the b-quark mass with 1/m corrections using non-perturbative definitions and spin symmetry to simplify the matching process.

Findings

Non-perturbative formulas relate M_b to B-meson mass

Cancellation of power divergences demonstrated numerically

Numerical results for 1/m correction provided

Abstract

We consider HQET including the first order correction in 1/m. A strategy for the computation of the b-quark mass is discussed. Only two quantities Phi_1/2 have to be considered in order to match QCD and HQET, since the spin-dependent interaction is easily eliminated due to the spin symmetry of the static theory. Quite simple formulae relate the renormalization group invariant b-quark mass (M_b) to the B-meson mass. All entries in these formulae are non-perturbatively defined and can be computed in the continuum limit of the lattice regularized theory. For the numerically most critical part, we illustrate the cancellation of power divergences by a numerical example. Numerical results for the 1/m correction to M_b, are presented in a companion talk.