# Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering Beyond Lowest Order

## TL;DR

This paper revisits second-order calculations of large transverse momentum in semi-inclusive deep inelastic scattering, confirming previous results and highlighting discrepancies with existing parton distribution and fragmentation functions.

## Contribution

It provides a detailed second-order calculation of the transverse momentum dependence, supporting the existence of tension with current parton functions.

## Key findings

- Confirmation of previous $O(\alpha_s^2)$ calculations
- Identification of tension with current parton distribution functions
- Reinforcement of the need for improved theoretical models

## Abstract

Motivated by recently observed tension between $O\left(\alpha_s^2\right)$ calculations of very large transverse momentum dependence in both semi-inclusive deep inelastic scattering and Drell-Yan scattering, we repeat the details of the calculation through $O\left(\alpha_s^2\right)$ transversely differential cross section. The results confirm earlier calculations, and provide further support to the observation that tension exists with current parton distribution and fragmentation functions.