Exploring interpolating momentum schemes

TL;DR

This paper investigates the renormalisation factors of quark mass and wave function using a novel interpolating momentum scheme within the non-perturbative Rome-Southampton framework, analyzing scale dependence and lattice artifacts.

Contribution

It introduces and applies the IMOM scheme allowing non-zero and varying momentum transfer in the renormalisation process, expanding the scope of the traditional method.

Findings

Analyzed scale dependence and infrared contamination.

Assessed lattice artifacts for different momentum transfers.

Provided numerical results using RBC-UKQCD data.

Abstract

We compute the renormalisation factors of the quark mass and wave function using IMOM (Interpolating MOMenta) schemes. The framework is the Rome-Southampton non-renormalisation method, but the momentum transfer in the quark bilinears is not restricted to zero or to the symmetric point. We study the scale dependence, infrared contamination and lattice artefacts for different values of this momentum transfer and for two different kinds of projectors. For the numerical simulations, we use data generated by the RBC-UKQCD collaborations, with $N_f = 2+1$ flavours of Domain-Wall fermions, and inverse lattice spacing of $1.79 $ and $2.38$ GeV.