The heavy quark's self energy from moving NRQCD on the lattice

TL;DR

This paper calculates the heavy quark's self energy in moving NRQCD at one-loop order on the lattice, providing insights into energy shifts and momentum renormalisation, and comparing perturbative and non-perturbative results.

Contribution

It presents the first one-loop perturbative calculation of the heavy quark's self energy in moving NRQCD on the lattice, highlighting the small momentum renormalisation due to re-parameterisation invariance.

Findings

Momentum renormalisation is small.

Results agree with non-perturbative data.

Remnant of re-parameterisation invariance observed.

Abstract

We present a calculation of the heavy quark's self energy in moving NRQCD to one-loop in perturbation theory. Results for the energy shift and external momentum renormalisation are discussed and compared with non-perturbative results. We show that the momentum renormalisation is small, which is the result of a remnant of re-parameterisation invariance on the lattice.