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

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.

Comments: 14 pages, 10 figures, 7 tables. v2: Expanded introduction, further description of the calculation, adjusted notation, no changes in results. Version accepted in Physical Review D