ChPT description of the pion mass and decay constant from N_f=2 twisted mass QCD

TL;DR

This paper uses lattice QCD data with twisted mass fermions and chiral perturbation theory to accurately determine the pion mass and decay constant, including continuum and volume extrapolations.

Contribution

It introduces a combined approach of lattice QCD simulations and ChPT for precise pion property calculations at N_f=2.

Findings

Successful continuum limit scaling test

Chiral and volume extrapolations performed

Enhanced understanding of pion parameters in lattice QCD

Abstract

We study lattice QCD determinations of the pion mass and decay constant by means of chiral perturbation theory (ChPT). The lattice data are obtained from large scale simulations with N_f=2 flavours of twisted mass fermions at maximal twist. We perform a scaling test to the continuum limit of these data and use ChPT to perform both the chiral and the infinite volume extrapolations.