Renormalization constants for $N_{\rm f}=2+1+1$ twisted mass QCD

TL;DR

This paper presents non-perturbative calculations of renormalization constants in twisted mass QCD with four dynamical flavors, using the RI'-MOM scheme across various lattice parameters, with a focus on controlling artifacts.

Contribution

It provides a detailed non-perturbative determination of renormalization constants for multiple operators in $N_f=2+1+1$ twisted mass QCD, including a novel treatment of hypercubic artifacts.

Findings

Renormalization constants for scalar, pseudo-scalar, vector, and axial operators are computed.

Results are consistent across different lattice spacings and volumes, confirming the method's robustness.

Preliminary results for twist-2 operators are also obtained.

Abstract

We summarize recent non-perturbative results obtained for the renormalization constants computed in the RI'-MOM scheme for $N_{\rm f}=2+1+1$ twisted mass QCD. Our implementation employs the Iwasaki gauge action and four dynamical degenerate twisted mass fermions. Renormalization constants for scalar, pseudo-scalar, vector and axial operators, as well as the quark propagator renormalization, are computed at three different values of the lattice spacing, two different volumes and several values of the twisted mass. Our method allows for a precise cross-check of the running, because of the particular proper treatment of the hypercubic artifacts. Preliminary results for twist-2 operators are also presented.