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

Isabel Campos Plasencia; Mattia Dalla Brida; Giulia Maria de Divitiis; Andrew Lytle; Mauro Papinutto; Ludovica Pirelli; Anastassios Vladikas

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

High Energy Physics - Lattice 2021-12-20 v3

Authors: Isabel Campos Plasencia , Mattia Dalla Brida , Giulia Maria de Divitiis , Andrew Lytle , Mauro Papinutto , Ludovica Pirelli , Anastassios Vladikas

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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.

Keywords

non-perturbative renormalization tensor operator nf=3 qcd chisf scheme o(a) improvement alpha collaboration

Cite

@article{arxiv.2111.15325,
  title  = {Renormalization $\&$ improvement of the tensor operator for $N_f=3$ QCD in a $\chi$SF setup},
  author = {Isabel Campos Plasencia and Mattia Dalla Brida and Giulia Maria de Divitiis and Andrew Lytle and Mauro Papinutto and Ludovica Pirelli and Anastassios Vladikas},
  journal= {arXiv preprint arXiv:2111.15325},
  year   = {2021}
}

Comments

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

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

Abstract

Keywords

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