Perturbative renormalization for overlap fermions

TL;DR

This paper calculates 1-loop renormalization factors for operators in lattice overlap fermions relevant to deep inelastic scattering and weak processes, using FORM code, and discusses operator improvement.

Contribution

It provides the first detailed 1-loop renormalization factors for overlap fermion operators related to DIS and weak amplitudes, including operator improvement strategies.

Findings

Computed 1-loop renormalization factors for key operators

Utilized FORM for algebraic calculations

Discussed operator improvement methods

Abstract

Using lattice overlap fermions, we have computed the 1-loop renormalization factors of several operators that measure DIS structure functions and weak amplitudes. Computer codes written in the algebraic manipulation language FORM have been used. The improvement of the operators is also discussed.