Perturbative renormalization in parton distribution functions using Overlap fermions and Symanzik improved gluons

TL;DR

This paper computes the one-loop renormalization of fermion operators relevant to parton distribution functions using overlap fermions and Symanzik improved gluons, providing detailed dependence on action parameters.

Contribution

It introduces a perturbative renormalization calculation for parton distribution functions employing overlap fermions and Symanzik improved gluons, including parameter dependence.

Findings

Renormalization factors for fermion self-energy and bilinears are calculated.

Results depend explicitly on overlap and Symanzik parameters.

Provides a basis for non-perturbative studies of PDFs.

Abstract

We calculate the 1-loop renormalization of the fermion self-energy, all local fermion bilinears, as well as a set of extended bilinears which form a basis corresponding to moments of the parton distribution functions. We use the overlap action for fermions and Symanzik improved action for gluons. Our results are presented as a function of the overlap parameter rho and the parameters entering the Symanzik action.