Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions

TL;DR

This paper non-perturbatively calculates renormalization coefficients for quark bilinear operators and B_K using domain wall fermions on dynamical lattice configurations, bridging lattice and continuum schemes.

Contribution

It provides a non-perturbative determination of renormalization factors for key operators relevant to flavor physics using domain wall fermions on dynamical lattices.

Findings

Renormalization coefficients computed non-perturbatively

Matching to MSbar scheme performed

Results applicable to B_K calculations in flavor physics

Abstract

We present a calculation of the renormalization coefficients of the quark bilinear operators and the K-Kbar mixing parameter B_K. The coefficients relating the bare lattice operators to those in the RI/MOM scheme are computed non-perturbatively and then matched perturbatively to the MSbar scheme. The coefficients are calculated on the RBC/UKQCD 2+1 flavor dynamical lattice configurations. Specifically we use a 16^3 x 32 lattice volume, the Iwasaki gauge action at beta=2.13 and domain wall fermions with L_s=16.