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

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.