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

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.

Comments: 8 pages, 4 figures, Presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021, 26th-30th July, 2021. v3: Updated Acknowledgements