NNLO QCD$\otimes$QED corrections to unpolarized and polarized SIDIS

TL;DR

This paper computes the first NNLO pure QED and mixed QCD-QED corrections to SIDIS, significantly improving theoretical precision for future high-precision experiments like the Electron-Ion Collider.

Contribution

It provides the first calculation of NNLO QED and mixed QCD-QED corrections to SIDIS, extending previous NNLO QCD results and enhancing theoretical accuracy.

Findings

Corrections improve perturbative stability.

Scale uncertainties are reduced.

Results are vital for future collider predictions.

Abstract

We present the first computation of next-to-next-to-leading order (NNLO) pure QED and mixed QCD$\otimes$QED corrections to unpolarized and polarized semi-inclusive deep-inelastic scattering (SIDIS). Building on our previous NNLO QCD results, these corrections are crucial for improving the theoretical precision. The coefficient functions are derived within the QCD factorization framework using dimensional regularization, with consistent renormalization and mass factorization. A detailed phenomenological analysis shows that the NNLO QED and QCD$\otimes$QED terms enhance perturbative stability and reduce scale uncertainties. These results are essential for high-precision SIDIS predictions at future facilities such as the Electron-Ion Collider.