6533b82bfe1ef96bd128e269

RESEARCH PRODUCT

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

German F. R. SborliniGerman RodrigoDaniel De Florian

subject

Nuclear and High Energy PhysicsCiencias FísicasFOS: Physical sciencesSPLITTING01 natural sciences//purl.org/becyt/ford/1 [https]High Energy Physics - Phenomenology (hep-ph)0103 physical sciencesOrder (group theory)010306 general physicsMathematical physicsPhysicsCouplingQuantum chromodynamicsBasis (linear algebra)QED010308 nuclear & particles physicsHigh Energy Physics::Phenomenology//purl.org/becyt/ford/1.3 [https]QCDAstronomíaLoop (topology)High Energy Physics - PhenomenologyDistribution functionHigh Energy Physics::ExperimentCIENCIAS NATURALES Y EXACTAS

description

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.

10.1007/jhep10(2016)056https://link.springer.com/article/10.1007/JHEP10(2016)056