# Extending parton branching TMDs to small $x$

## TL;DR

This paper enhances the parton branching approach to TMD parton distribution functions by incorporating small-x dynamics, revisiting the method at leading order, fitting to DIS data, and exploring modified CCFM kernels.

## Contribution

It introduces small-x effects into the PB method, providing a new fit to data and analyzing the impact of modified CCFM kernels on TMDs.

## Key findings

- Successful fit to inclusive-DIS data at leading order
- Impact of soft-gluon resolution scale studied
- Effects of modified CCFM kernels analyzed

## Abstract

We explore the possibility to include small-$x$ dynamics effects in the parton branching (PB) approach to transverse momentum dependent (TMD) parton distribution functions. To this end, we first revisit the PB method at leading order, presenting a new fit to inclusive-DIS precision data, and performing a numerical study of the dynamic soft-gluon resolution scale. Next we investigate the effects of modified CCFM kernels, including both Sudakov and non-Sudakov form factors.