# The rapidity dependence of the average transverse momentum in p+p and p+Pb collisions - revisited

## TL;DR

This paper investigates how the average transverse momentum varies with rapidity in proton-proton and proton-lead collisions using high energy factorization, updating predictions with advanced evolution equations and resummation techniques.

## Contribution

It provides updated predictions for the rapidity dependence of average transverse momentum using extended BK and BFKL evolution with Sudakov resummation.

## Key findings

- In mid rapidity, saturation models predict an increase in transverse momentum.
- In forward rapidity, the average transverse momentum decreases.
- Updated predictions incorporate higher-order corrections and resummation effects.

## Abstract

We revisit the rapidity dependence of the average transverse momentum $\left\langle p_{T}\right\rangle$ in a $pp$ and $pA$ collision, using the high energy factorization (HEF). We update previous predictions for the $\left\langle p_{T}\right\rangle$ both in central and forward rapidity region using parton densities following from extended BK and BFKL evolution equations to account for corrections of higher orders as well as one obtained by Sudakov resummation. Furthermore, we demonstrate that in the mid rapidity region the saturation based formalisms predict increase of the transversal momentum while in the forward rapidity region the $\left\langle p_{T}(y)\right\rangle$ decreases.