Analytical solution for QCD ⊗ QED evolution.

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Title: Analytical solution for QCD ⊗ QED evolution.
Authors: de Florian, Daniel1 (AUTHOR) deflo@unsam.edu.ar, Palma Conte, Lucas1 (AUTHOR) lpalmaconte@unsam.edu.ar
Source: European Physical Journal C -- Particles & Fields. Feb2026, Vol. 86 Issue 2, p1-17. 17p.
Subjects: Quantum chromodynamics, Evolution equations, Radiative corrections, Mellin transform, Quark-gluon interactions
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 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. [ABSTRACT FROM AUTHOR]
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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 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. [ABSTRACT FROM AUTHOR]
ISSN:14346044
DOI:10.1140/epjc/s10052-026-15343-6