Non-perturbative renormalization of quark mass in Nf=2+1 QCD with the Schroedinger functional scheme

TL;DR

This paper non-perturbatively evaluates the quark mass renormalization factor in Nf=2+1 QCD using the Schroedinger functional scheme, bridging low-energy and high-energy regimes with continuum limit results.

Contribution

It introduces a non-perturbative calculation of the quark mass renormalization factor in Nf=2+1 QCD employing the Schroedinger functional scheme, including step scaling functions and renormalization factors.

Findings

Continuum limit of the step scaling function obtained.

Renormalization factors for pseudo scalar density and axial vector current evaluated.

Results consistent with previous large-scale simulations.

Abstract

We present an evaluation of the quark mass renormalization factor for Nf=2+1 QCD. The Schroedinger functional scheme is employed as the intermediate scheme to carry out non-perturbative running from the low energy to deep in the high energy perturbative region. The regularization independent step scaling function of the quark mass is obtained in the continuum limit. Renormalization factors for the pseudo scalar density and the axial vector current are also evaluated for the same action and the bare couplings as two recent large scale Nf=2+1 simulations; previous work of the CP-PACS/JLQCD collaboration, which covered the up-down quark mass range heavier than m_pi=500 MeV and that of PACS-CS collaboration on the physical point using the reweighting technique.