Speaker
Andrea Simonelli
(Old Dominion University and Jefferson Lab)
Description
The energy dependence for the singlet sector of Parton Distributions Functions (PDFs) is described by an entangled pair of ordinary linear differential equations. Although there are no closed analytic solutions, it is possible to provide approximated results depending on the assumptions and the methodology adopted. These results differ in their sub-leading, neglected terms and ultimately they are associated with different treatments of the theoretical uncertainties. In this talk, a novel analytic approach in Mellin space is presented and different analytic results for the DGLAP evolution at Next-Lowest-Order are compared. Advantages and disadvantages for each solution are discussed and generalizations to higher orders are addressed.
Primary author
Andrea Simonelli
(Old Dominion University and Jefferson Lab)