Chiral perturbation theory for lattice QCD with a twisted mass term

TL;DR

This paper develops a chiral perturbation theory framework for lattice QCD with Wilson fermions and a twisted mass term, calculating pion properties at next-to-leading order including lattice spacing effects.

Contribution

It introduces a novel chiral perturbation theory approach tailored for twisted mass lattice QCD, incorporating lattice artifacts into pion observable calculations.

Findings

Pion mass calculated at next-to-leading order with lattice spacing corrections.

Pion decay constant derived including linear lattice spacing terms.

Framework enables more accurate lattice QCD predictions with twisted mass.

Abstract

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term for two degenerate quark flavours is considered in the framework of chiral perturbation theory. The pion mass and decay constant are calculated in next-to-leading order including terms linear in the lattice spacing $a$.