Renormalization $\&$ improvement of the tensor operator for $N_f=3$ QCD in a $\chi$SF setup

TL;DR

This paper reports preliminary non-perturbative results on the RG running of the flavor non-singlet tensor operator in $N_f=3$ QCD using the $ ext{chi}$SF scheme, highlighting automatic $O(a)$ improvement benefits.

Contribution

It introduces a non-perturbative renormalization approach for the tensor operator in $N_f=3$ QCD employing the $ ext{chi}$SF scheme with automatic $O(a)$ improvement.

Findings

Preliminary RG running results for the tensor operator.

Demonstration of automatic $O(a)$ improvement benefits.

Use of ensembles from the ALPHA collaboration.

Abstract

We present preliminary results of the non-perturbative renormalization group (RG) running of the flavor non-singlet tensor operator. We employ the $\chi$SF scheme for $N_f=3$ QCD using ensembles generated by the ALPHA collaboration for the computation of the quark mass running. The $\chi$SF property of automatic $O(a)$ improvement prevents the $O(a)$ mixing of the correlation functions.