NSPT calculations in the Schrodinger Functional formalism

TL;DR

This paper presents a method combining Numerical Stochastic Perturbation Theory and PCAC relations within the Schrödinger Functional framework to compute two-loop contributions to improvement coefficients for Wilson fermions.

Contribution

It introduces a novel approach to calculate two-loop improvement coefficients using NSPT and PCAC relations in the Schrödinger Functional formalism.

Findings

Successful determination of two-loop contributions to $c_A$ and $c_{SW}$

Enhanced precision in lattice QCD improvement coefficients

Method applicable to other fermionic actions

Abstract

Within the framework of the Schr\"odinger Functional (SF), we outline how to combine Numerical Stochastic Perturbation Theory (NSPT) and PCAC relations to determine the two-loop contributions to the improvement coefficients $c_A$ and $c_{SW}$ for Sheikholeslami-Wohlert-Wilson fermions.