The epsilon regime of chiral perturbation theory with Wilson-type fermions

TL;DR

This paper explores the behavior of Wilson-type fermions in the epsilon regime of chiral perturbation theory, providing initial estimates of systematic uncertainties through lattice simulations of key physical quantities.

Contribution

It presents the first systematic lattice simulation study of Wilson twisted mass fermions in the epsilon regime, analyzing chiral condensate and decay constants across multiple parameters.

Findings

Results for chiral condensate and pseudoscalar decay constant obtained.

Initial estimates of systematic uncertainties in the epsilon regime.

Simulations conducted at two lattice spacings and volumes.

Abstract

In this proceeding contribution we report on the ongoing effort to simulate Wilson-type fermions in the so called epsilon regime of chiral perturbation theory. We present results for the chiral condensate and the pseudoscalar decay constant obtained with Wilson twisted mass fermions employing two lattice spacings, two different physical volumes and several quark masses. With this set of simulations we make a first attempt to estimate the systematic uncertainties.