High loop renormalization constants for Wilson fermions/Symanzik improved gauge action

TL;DR

This paper reports on the calculation of quark bilinear renormalization constants for Wilson fermions with Symanzik improved gauge action using Numerical Stochastic Perturbation Theory, addressing finite volume effects and continuum extrapolation.

Contribution

It provides new high-precision renormalization constants computed with multiple lattice sizes and momenta, improving the accuracy of non-perturbative renormalization methods.

Findings

Renormalization constants computed at various scales and volumes.

Finite volume effects systematically analyzed and corrected.

Results extrapolated to the continuum limit.

Abstract

We present the current status of our computation of quark bilinear renormalization constants for Wilson fermions and Symanzik improved gauge action. Computations are performed in Numerical Stochastic Perturbation Theory. Volumes range from 10^4 to 32^4. Renormalization conditions are those of the RI'-MOM scheme, imposed at different values of the physical scale. Having measurements available at several momenta, irrelevant effects are taken into account by means of hypercubic symmetric Taylor expansions. Finite volumes effects are assessed repeating the computations at different lattice sizes. In this way we can extrapolate our results to the continuum limit, in infinite volume.