Chiral perturbation theory for partially quenched twisted mass lattice QCD

TL;DR

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

Contribution

It introduces a theoretical approach for analyzing partially quenched twisted mass lattice QCD with Wilson fermions, incorporating lattice artifacts at next-to-leading order.

Findings

Derived expressions for pion masses and decay constants including lattice spacing effects.

Provided a theoretical foundation for analyzing lattice QCD data with twisted mass formulations.

Abstract

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