Sea quark Sivers distribution

TL;DR

This paper calculates the sea quark Sivers distribution using the color glass condensate framework, demonstrating consistency with collinear twist-3 and TMD factorization approaches at small x in certain scattering processes.

Contribution

It establishes the equivalence of CGC and collinear twist-3 results for sea quark Sivers distribution at leading logarithm accuracy and verifies TMD factorization consistency at small x.

Findings

CGC and collinear twist-3 approaches agree at leading logarithm accuracy

TMD factorization is consistent with CGC at small x for transverse spin asymmetry

Results apply to open charm quark production in SIDIS

Abstract

We compute sea quark Sivers distribution within color glass condensate(CGC) framework. It has been found that up to the leading logarithm accuracy, the collinear twist-3 approach and the CGC calculation yield the same result for sea quark Sivers distribution in the dilute limit. We further verify that transverse momentum dependent factorization is consistent with CGC treatment at small $x$ for the case of transverse spin asymmetry in open charm quark production in semi-inclusive deeply inelastic scattering process in an overlap kinematical region.