English

Matching of transverse momentum dependent distributions at twist-3

High Energy Physics - Phenomenology 2018-10-17 v2 High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory

Abstract

We derive the leading order matching of the quark generated polarized transverse momentum dependent (TMD) distributions onto the collinear functions at small values of the transverse distance. Starting from the very definition of the TMD operator and performing the light-cone operator product expansion up to twist-3 order, we evaluate each distribution directly in position space. We primarily consider the cases of Sivers, Boer-Mulders and worm-gear functions. The effects of the TMD process dependence on the matching are explicitly shown. We also discuss the moments of TMD distributions which can be relevant for lattice calculations.

Keywords

Cite

@article{arxiv.1804.08148,
  title  = {Matching of transverse momentum dependent distributions at twist-3},
  author = {Ignazio Scimemi and Alexey Vladimirov},
  journal= {arXiv preprint arXiv:1804.08148},
  year   = {2018}
}

Comments

Version accepted for pubblication