Preliminary results in unquenched Numerical Stochastic Perturbation Theory

TL;DR

This paper presents initial findings on incorporating fermionic loops into Numerical Stochastic Perturbation Theory to compute higher-order loops for renormalization constants efficiently.

Contribution

It introduces unquenched NSPT with fermionic loops and reports preliminary results for the quark propagator and critical mass calculations.

Findings

First, unquenched NSPT is computationally feasible.

Preliminary third-loop results for the quark propagator.

Ongoing work on other quantities.

Abstract

Introducing fermionic loops contributions in Numerical Stochastic Perturbation Theory was mainly motivated by the proposal to compute 2-3 loops for renormalization constants (and improvement coefficients). This is feasible because the computational overhead of unquenching NSPT is by far lower than for non perturbative simulations. We report on first, preliminary results for the quark propagator (basically the third loop for the critical mass) and discuss the status of the computation of other quantities.