# Transverse Momentum Dependent Parton Distributions at Small-x

## TL;DR

This paper develops a comprehensive framework for analyzing transverse momentum dependent parton distributions at small-x, integrating both TMD evolution and small-x evolution effects through dipole amplitudes and Sudakov resummation.

## Contribution

It introduces a unified approach combining TMD and small-x evolution by linking dipole amplitudes with TMDs and resumming large logarithms into Sudakov factors.

## Key findings

- Consistent calculation of TMDs at small-x incorporating evolution effects.
- Demonstration of the interplay between dipole amplitudes and TMD evolution.
- Enhanced understanding of parton distributions at high energies.

## Abstract

We study the transverse momentum dependent (TMD) parton distributions at small-x in a consistent framework that takes into account the TMD evolution and small-x evolution simultaneously. The small-x evolution effects are included by computing the TMDs at appropriate scales in terms of the dipole scattering amplitudes, which obey the relevant Balitsky-Kovchegov equation. Meanwhile, the TMD evolution is obtained by resumming the Collins-Soper type large logarithms emerged from the calculations in small-x formalism into Sudakov factors.