$N_f = 2+1+1$ flavours of twisted mass quarks: cut-off effects at tree-level of perturbation theory

TL;DR

This paper analyzes the cut-off effects in lattice QCD calculations of K and D mesons using twisted mass formulation at tree-level, comparing different twist conditions and meson types.

Contribution

It provides an analytical study of cut-off effects for multiple mesons in twisted mass lattice QCD at tree-level, including various maximal twist realizations.

Findings

Cut-off effects vary among pion, kaon, and D meson.

Different maximal twist conditions influence cut-off effects.

Analytical results help optimize lattice QCD simulations.

Abstract

We present a calculation of cut-off effects at tree-level of perturbation theory for the K and D mesons using the twisted mass formulation of lattice QCD. The analytical calculations are performed in the time-momentum frame. The relative sizes of cut-off effects are compared for the pion, the kaon and the D meson masses. In addition, different realizations of maximal twist condition are considered and the corresponding cut-off effects are analyzed.