# Transverse structure of proton in a light-front quark-diquark model

## TL;DR

This paper models the transverse structure of the proton using a light-front quark-diquark approach, revealing non-spherical shapes and scale evolution of TMDs based on AdS/QCD-inspired wave functions.

## Contribution

It introduces a comprehensive light-front quark-diquark model with scalar and vector diquarks, incorporating AdS/QCD predictions to study TMDs and proton shape.

## Key findings

- TMDs exhibit $x-p^2_ot$ factorization.
- Transversely polarized proton shape is non-spherical.
- Scale evolution of TMDs is demonstrated.

## Abstract

We present all the leading twist T-even TMDs in the light-front quark diquark model(LFQDM) and study the relations among them. The model contains both the scalar and vector diquarks with the light front wave functions modeled from the soft-wall AdS/QCD prediction. The $x-p^2_\perp$ factorization used in phenomenological extraction for TMDs is observed in this model. We present the results for the quark densities and the transverse shape of proton. The shape of the transversely polarized proton is shown to be non-spherical for nonzero transverse momentum. The scale evolution of both integrated and unintegrated TMDs are also presented in this paper.