Mass and Axial current renormalization in the Schr\"odinger functional scheme for the RG-improved gauge and the stout smeared $O(a)$-improved Wilson quark actions

TL;DR

This paper calculates the renormalization factors for quark mass and axial current using the Schrödinger functional scheme for specific improved gauge and quark actions, aiding precise lattice QCD simulations.

Contribution

It provides the first determination of these renormalization factors for the RG-improved Iwasaki gauge action with stout smeared Wilson quarks at a relevant coupling.

Findings

Renormalization factors for quark mass and axial current are obtained.

Results are applicable to large-scale lattice QCD simulations.

The study uses the Schrödinger functional scheme at a specific coupling.

Abstract

We present the quark mass and axial current renormalization factors for the RG-improved Iwasaki gauge action and three flavors of the stout smeared $O(a)$-improved Wilson quark action. We employ $\alpha=0.1$ and $n_{\mathrm{step}}=6$ for the stout link smearing parameters and all links in the quark action are replaced with the smeared links. Using the Schr\"{o}dinger functional scheme we evaluate the renormalization factors at $\beta=1.82$ where large scale simulations are being carried out.