Scaling and chiral extrapolation of pion mass and decay constant with maximally twisted mass QCD

TL;DR

This paper updates the results on pion mass and decay constant using maximally twisted mass QCD, focusing on continuum, chiral, and volume extrapolations, and analyzing systematic uncertainties.

Contribution

It provides new large-scale simulation data and refined extrapolation methods for pion properties in twisted mass QCD, including systematic uncertainty analysis.

Findings

Consistent pion mass and decay constant results across different extrapolations

Quantitative estimates of low energy constants

Assessment of systematic uncertainties in lattice QCD calculations

Abstract

We present an update of the results for pion mass and pion decay constant as obtained by the ETM collaboration in large scale simulations with maximally twisted mass fermions and two mass degenerate flavours of light quarks. We discuss the continuum, chiral and infinite volume extrapolation of these quantities as well as the extraction of low energy constants, and investigate possible systematic uncertainties.