Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions

TL;DR

This paper computes nonperturbative renormalization factors for three-flavor Wilson clover fermions in lattice QCD using RI'-(S)MOM schemes with periodic and open boundary conditions, including three-loop conversion to MS scheme.

Contribution

It provides the first nonperturbative renormalization factors for three-flavor clover fermions with both boundary conditions, incorporating recent three-loop conversion calculations.

Findings

Renormalization factors for flavor-nonsinglet operators computed.

Results include operators with up to two derivatives and three-quark operators.

Updated with additional analytical expressions and refined results.

Abstract

We present the nonperturbative computation of renormalization factors in the RI'-(S)MOM schemes for the QCD gauge field ensembles generated by the CLS (coordinated lattice simulations) effort with three flavors of nonperturbatively improved Wilson (clover) quarks. We use ensembles with the standard (anti-)periodic boundary conditions in the time direction as well as gauge field configurations with open boundary conditions. Besides flavor-nonsinglet quark-antiquark operators with up to two derivatives we also consider three-quark operators with up to one derivative. For the RI'-SMOM scheme results we make use of the recently calculated three-loop conversion factors to the modified minimal subtraction scheme. The present version of the paper contains an Addendum with additional analytical expressions and updated results.