# Sivers and Boer-Mulders GTMDs in Light-front Holographic Quark-diquark Model

## TL;DR

This paper calculates T-odd GTMDs, including Sivers and Boer-Mulders functions, within a light-front quark-diquark model based on AdS/QCD, incorporating final state interactions and providing Wigner distributions.

## Contribution

It introduces a novel calculation of T-odd GTMDs in a light-front holographic quark-diquark model, including both scalar and axial diquarks, with a factorized final state interaction.

## Key findings

- GTMDs reduce to Sivers and Boer-Mulders TMDs at zero momentum transfer.
- Final state interactions can be factorized and are identical for both GTMDs.
- Wigner distributions corresponding to these GTMDs are presented.

## Abstract

We calculate the time reversal odd (T-odd) generalized transverse momentum dependent parton distributions (GTMDs) $F^o_{1,2}$ and $H^o_{1,1}$ in a light-front quark-diquark model based on ADS/QCD. In the limit of zero momentum transfer, these reduce to the Sivers and Boer-Mulders TMDs respectively. We have incorporated both scalar and axial vector diquarks in the model and obtained an overlap representation of the GTMDs using the light-front wave functions (LFWFs). Contribution from the final state interaction is incorporated at the level of one gluon exchange as a phase factor in the LFWF. We show that the final state interaction term can be factored out in this model and this part is the same for both GTMDs. We also present the corresponding Wigner distributions.