https://doi.org/10.1140/epjc/s10052-026-15343-6
Regular Article - Theoretical Physics
Analytical solution for QCD 
QED evolution
International Center for Advanced Studies (ICAS), ICIFI and ECyT-UNSAM, 25 de Mayo y Francia, 1650, San Martín, Pcia. Buenos Aires, Argentina
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Received:
21
October
2025
Accepted:
18
January
2026
Published online:
5
February
2026
Abstract
We present an analytical solution for the evolution of parton distributions incorporating mixed-order QCD 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 
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.
© The Author(s) 2026
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