Renormalization and improvement of the tensor operator for Nf=3 QCD in a χSF setup

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