English

Analytical solution for QCD $\otimes$ QED evolution

High Energy Physics - Phenomenology 2026-02-16 v3 High Energy Physics - Theory

Abstract

We present an analytical solution for the evolution of parton distributions incorporating mixed-order QCD \otimes QED corrections, addressing both polarized and unpolarized cases. Using the Altarelli-Parisi kernels extended to mixed order, we solve the DGLAP equations exactly in Mellin NN-space and derive the associated Wilson coefficients for the polarized structure function g1g_1. Our analytical approach improves computational efficiency and enhances the precision of theoretical predictions in observables sensitive to QED corrections, with relevance for current and future phenomenological applications.

Keywords

Cite

@article{arxiv.2505.03520,
  title  = {Analytical solution for QCD $\otimes$ QED evolution},
  author = {Daniel de Florian and Lucas Palma Conte},
  journal= {arXiv preprint arXiv:2505.03520},
  year   = {2026}
}
R2 v1 2026-06-28T23:22:58.859Z