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High Energy Physics - Phenomenology

arXiv:1606.02887 (hep-ph)
[Submitted on 9 Jun 2016 (v1), last revised 14 Nov 2017 (this version, v3)]

Title:Two-loop QED corrections to the Altarelli-Parisi splitting functions

Authors:Daniel de Florian, German F. R. Sborlini, German Rodrigo
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Abstract:We compute the two-loop QED corrections to the Altarelli-Parisi (AP) splitting functions by using a deconstructive algorithmic Abelianization of the well-known NLO QCD corrections. We present explicit results for the full set of splitting kernels in a basis that includes the leptonic distribution functions that, starting from this order in the QED coupling, couple to the partonic densities. Finally, we perform a phenomenological analysis of the impact of these corrections in the splitting functions.
Comments: 17 pages, 5 figures. Typos corrected, 1 figure added. Final version published in JHEP. Comment added about Eq. (51)
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: ICAS 09/16, IFIC/15-88
Cite as: arXiv:1606.02887 [hep-ph]
  (or arXiv:1606.02887v3 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1606.02887
Journal reference: JHEP 10 (2016) 056
Related DOI: https://doi.org/10.1007/JHEP10%282016%29056

Submission history

From: German F. R. Sborlini [view email]
[v1] Thu, 9 Jun 2016 09:51:54 UTC (288 KB)
[v2] Mon, 24 Oct 2016 08:20:35 UTC (534 KB)
[v3] Tue, 14 Nov 2017 14:23:03 UTC (535 KB)
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