Twisted mass lattice QCD with non-degenerate quark masses

TL;DR

This paper uses chiral perturbation theory to calculate pseudoscalar meson masses and decay constants in twisted mass lattice QCD with non-degenerate quark masses, including lattice spacing effects.

Contribution

It provides next-to-leading order calculations of meson properties in twisted mass lattice QCD with non-degenerate quark masses, incorporating lattice artifacts.

Findings

Meson masses and decay constants are computed for two and three flavor cases.

Lattice effects quadratic in the lattice spacing are included in the calculations.

Results aid in understanding non-degenerate quark mass effects in lattice QCD simulations.

Abstract

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term is considered in the framework of chiral perturbation theory. For two and three numbers of quark flavours, respectively, with non-degenerate quark masses the pseudoscalar meson masses and decay constants are calculated in next-to-leading order including lattice effects quadratic in the lattice spacing a.