Nucleon structure in terms of OPE with non-perturbative Wilson coeffcients

Abstract

Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the Nucleon Structure Functions. To this end we study the product of electromagnetic currents between quark states. The Operator Product Expansion (OPE) decomposes it into matrix elements of local operators (depending on the quark momenta) and Wilson coefficients (as functions of the larger photon momenta). For consistency with the matrix elements, we evaluate a set of Wilson coefficients non-perturbatively, based on propagators for numerous momentum sources, on a 243 ×48 lattice. The use of overlap quarks suppresses unwanted operator mixing and lattice artifacts. Results for the leadingWilson coefficients are extracted by means of Singular Value Decomposition.)