Renormalization of domain-wall bilinear operators with short-distance current correlators

Understand

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.