Non-perturbative Heavy Quark Effective Theory
Jochen Heitger (Universitaet Muenster), Rainer Sommer (DESY Zeuthen, and CERN)
TL;DR
This paper presents a non-perturbative lattice approach to Heavy Quark Effective Theory (HQET), solving divergence subtraction issues through matching with QCD, and demonstrates calculations of b-quark mass and B-meson decay constant.
Contribution
It introduces a non-perturbative method for lattice HQET, enabling precise calculations without large lattices and including dynamical fermions.
Findings
Calculated b-quark mass in static and quenched approximation
Outlined a method for B-meson decay constant
Solved divergence subtraction via non-perturbative matching
Abstract
We explain how to perform non-perturbative computations in HQET on the lattice. In particular the problem of the subtraction of power-law divergences is solved by a non-perturbative matching of HQET and QCD. As examples, we present a full calculation of the mass of the b-quark in the combined static and quenched approximation and outline an alternative way to obtain the B-meson decay constant at lowest order. Since no excessively large lattices are required, our strategy can also be applied including dynamical fermions.
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