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]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Analytical solution for QCD ⊗ QED evolution.
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  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22de+Florian%2C+Daniel%22">de Florian, Daniel</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> deflo@unsam.edu.ar</i><br /><searchLink fieldCode="AR" term="%22Palma+Conte%2C+Lucas%22">Palma Conte, Lucas</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> lpalmaconte@unsam.edu.ar</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Feb2026, Vol. 86 Issue 2, p1-17. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Quantum+chromodynamics%22">Quantum chromodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Evolution+equations%22">Evolution equations</searchLink><br /><searchLink fieldCode="DE" term="%22Radiative+corrections%22">Radiative corrections</searchLink><br /><searchLink fieldCode="DE" term="%22Mellin+transform%22">Mellin transform</searchLink><br /><searchLink fieldCode="DE" term="%22Quark-gluon+interactions%22">Quark-gluon interactions</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1140/epjc/s10052-026-15343-6
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 1
    Subjects:
      – SubjectFull: Quantum chromodynamics
        Type: general
      – SubjectFull: Evolution equations
        Type: general
      – SubjectFull: Radiative corrections
        Type: general
      – SubjectFull: Mellin transform
        Type: general
      – SubjectFull: Quark-gluon interactions
        Type: general
    Titles:
      – TitleFull: Analytical solution for QCD ⊗ QED evolution.
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            NameFull: de Florian, Daniel
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            NameFull: Palma Conte, Lucas
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            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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              Value: 86
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              Value: 2
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            – TitleFull: European Physical Journal C -- Particles & Fields
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