The Isgur-Wise Limit on the Lattice

TL;DR

This paper develops a lattice-compatible formulation of the Isgur-Wise limit in QCD, enabling calculations of heavy quark processes at high momentum transfers, including decay and scattering, with nonperturbative insights.

Contribution

It introduces a lattice-adapted Isgur-Wise limit framework for nonperturbative QCD calculations involving heavy quarks.

Findings

Allows calculation of heavy quark processes at large momentum transfers

Enables computation of the Isgur-Wise universal function nonperturbatively

Facilitates lattice QCD studies of semi-leptonic decays and scattering

Abstract

We construct the Isgur-Wise limit of QCD in a form appropriate to lattice gauge theory techniques. The formulation permits a calculation of heavy quark processes even when the momentum transfers are much larger than the inverse lattice spacing. Applications include semi-leptonic heavy quark decay and scattering processes, including the computation of the nonperturbative part of the Isgur-Wise universal function.