Renormalization of domain-wall bilinear operators with short-distance   current correlators
  We determine the renormalization constants for flavor non-singlet fermion bilinear operators of M\"obius domain-wall fermions. The renormalization condition is imposed on the correlation functions in the coordinate space, such that the non-perturbative lattice calculation reproduces the perturbatively calculated counterpart at short distances. The perturbative expansion is precise as the coefficients are available up to $O(\alpha_s^4)$. We employ $2+1$-flavor lattice ensembles at three lattice spacings in the range 0.044--0.080~fm. 
JLQCD collaboration: M. Tomii, G. Cossu, B. Fahy, H. Fukaya, S.   Hashimoto, T. Kaneko, J. Noaki
hep-lat