Speaker
Giulio Falcioni
(Università di Torino and Universität Zürich)
Description
I present analytic results for the scale evolution of the first ten moments of the Parton Distribution Functions (PDFs) through four loops in QCD.
I discuss the evolution of the PDFs to approximate N${}^{3}$LO accuracy, which is constructed by using input from the computed moments and from physical constraints. The N${}^{3}$LO contributions are of the order of $1\%$ or less for $x\gtrsim10^{-4}$, thus providing a highly accurate PDF evolution across an important part of the kinematic plane covered at the LHC.
Author
Giulio Falcioni
(Università di Torino and Universität Zürich)