Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order

TL;DR

This paper calculates key transverse momentum dependent distributions at next-to-leading order, linking them to collinear distributions in the small-b limit, advancing theoretical understanding of nucleon structure.

Contribution

It provides the first NLO calculations of Sivers, Boer-Mulders, and worm-gear distributions in terms of collinear distributions in the small-b limit.

Findings

NLO expressions for TMD distributions derived

Connections established between TMD and collinear distributions

Enhanced precision in theoretical predictions of nucleon structure

Abstract

We compute the Sivers, Boer-Mulders, worm-gear (T and L) transverse momentum dependent distributions in terms of twist-two and twist-three collinear distributions in the small-b limit up to next-to-leading order (NLO) in perturbation theory.