Transverse Momentum Distributions of Quarks in the Nucleon from Lattice QCD

Abstract

Transverse momentum dependent parton distribution functions (TMDPDFs) encode information about the intrinsic motion of quarks inside the nucleon. They are important non-perturbative ingredients in our understanding of, e.g., azimuthal asymmetries and other qualitative features in semi-inclusive deep inelastic scattering experiments. Here we present a _s13_s1764257_s19rst lattice approach to polarized and unpolarized transverse momentum dependent quark densities, based on MILC gauge con_s13_s1764257_s19gurations and propagators from LHPC. The operators we employ are non-local and consist of spatially separated quark creation and annihilation operators connected by a straight Wilson line. We brie_s13_s1764258_s19y discuss their renormalization properties and our present strategies to remove linear divergences in a^(_s13_s178722_s191).