Proton 3D reconstruction with T-odd TMD gluon densities

TL;DR

This paper investigates the 3D gluon structure of the proton using spin-dependent TMD gluon densities derived from a spectator-model approach, emphasizing the Boer-Mulders and Sivers functions for improved nucleon analysis.

Contribution

It introduces a fit-based modulation function for the spectator mass to better capture longitudinal-momentum effects in TMD gluon densities across various kinematics.

Findings

Development of a formalism incorporating a fit-based spectator mass modulation

Enhanced understanding of Boer-Mulders and Sivers functions in proton structure

Highlighting the importance of collaborative LHC and EIC efforts

Abstract

We present studies aimed at probing the 3D gluon content of the proton through spin-dependent TMD gluon densities, computed by means of the spectator-model approach. Our formalism incorporates a fit-based modulation function for the spectator mass, designed to capture longitudinal-momentum effects across a broad kinematic range. Special emphasis is placed on the time-reversal even Boer-Mulders and the time-reversal odd Sivers functions. Accurate understanding of these functions is crucial for conducting precise 3D analyses of nucleons, highlighting the importance of collaborative efforts between the LHC and EIC Communities.