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arXiv · 2505.03520

Analytical solution for QCD $\otimes$ QED evolution

Daniel de Florian·Lucas Palma Conte
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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 $N$-space and derive the associated Wilson coefficients for the polarized structure function $g_1$. 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.

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Daniel de Florian, Lucas Palma Conte. 2025-05-06. Analytical solution for QCD $\otimes$ QED evolution. https://arxiv.org/abs/2505.03520

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