Two-loop QED corrections to the Altarelli-Parisi splitting functions
High Energy Physics - Phenomenology
2017-11-15 v3
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.
Cite
@article{arxiv.1606.02887,
title = {Two-loop QED corrections to the Altarelli-Parisi splitting functions},
author = {Daniel de Florian and German F. R. Sborlini and German Rodrigo},
journal= {arXiv preprint arXiv:1606.02887},
year = {2017}
}
Comments
17 pages, 5 figures. Typos corrected, 1 figure added. Final version published in JHEP. Comment added about Eq. (51)