# The transverse structure of the pion in momentum space inspired by the AdS/QCD correspondence

## TL;DR

This paper uses an AdS/QCD-inspired holographic model to analyze the pion's internal transverse structure, providing predictions for TMDs and fitting model parameters to experimental data.

## Contribution

It introduces a novel holographic approach to model the pion's transverse momentum structure using AdS/QCD, fitting parameters to experimental form factors and PDFs.

## Key findings

- Predicted unpolarized TMDs at the model scale.
- Analyzed TMD evolution to higher scales.
- Fitted model parameters to experimental data.

## Abstract

We study the internal structure of the pion using a model inspired by the AdS/QCD correspondence. The holographic approach provides the light-front wave function (LFWF) for the leading Fock state component of the pion. We adopt two different forms for the LFWF derived from the AdS/QCD soft-wall model, with free parameters fitted to the available experimental information on the pion electromagnetic form factor and the leading-twist parton distribution function. The intrinsic scale of the model is taken as an additional fit parameter. Within this framework, we provide predictions for the unpolarized transverse momentum dependent parton distribution (TMD), and discuss its property both at the scale of the model and after TMD evolution to higher scales that are relevant for upcoming experimental measurements.