Computing K and D meson masses with N_f = 2+1+1 twisted mass lattice QCD

TL;DR

This paper discusses the technical aspects of calculating K and D meson masses using N_f=2+1+1 twisted mass lattice QCD, addressing symmetry breaking issues and proposing methods for mass extraction.

Contribution

It introduces and verifies three methods for extracting meson masses in twisted mass lattice QCD with non-degenerate quark doublets, improving accuracy.

Findings

Validated three methods for meson mass extraction.

Addressed flavor and parity symmetry breaking issues.

Provided guidelines for tuning strange and charm quark masses.

Abstract

We discuss the computation of the mass of the K and D mesons within the framework of N_f = 2+1+1 twisted mass lattice QCD from a technical point of view. These quantities are essential, already at the level of generating gauge configurations, being obvious candidates to tune the strange and charm quark masses to their physical values. In particular, we address the problems related to the twisted mass flavor and parity symmetry breaking, which arise when considering a non-degenerate (c,s) doublet. We propose and verify the consistency of three methods to extract the K and D meson masses in this framework.