Non-Perturbative Renormalization of the Lattice Heavy Quark Classical Velocity

TL;DR

This paper investigates the non-perturbative renormalization of the classical velocity in lattice Heavy Quark Effective Theory, highlighting the impact of reduced symmetry and providing simulation results compared to perturbative calculations.

Contribution

It introduces a direct lattice simulation method for the finite renormalization of the classical velocity, comparing non-perturbative results with one-loop perturbative predictions.

Findings

Simulation results for velocity renormalization

Comparison with perturbative one-loop results

Impact of lattice symmetry reduction on renormalization

Abstract

We discuss the renormalization of the lattice formulation of the Heavy Quark Effective Theory (LHQET). In addition to wave function and composite operator renormalizations, on the lattice the classical velocity is also renormalized. The origin of this renormalization is the reduction of Lorentz (or O(4)) invariance to (hyper)cubic invariance. We present results of a new, direct lattice simulation of this finite renormalization, and compare the results to the perturbative (one loop) result. The simulation results are obtained with the use of a variationally optimized heavy-light meson operator, using an ensemble of lattices provided by the Fermilab ACP-MAPS collaboration.