Apr 8 – 12, 2024
Maison MINATEC, Grenoble, FRANCE
Europe/Paris timezone

Analytic Solutions of the DGLAP Evolution and Theoretical Uncertainties

Apr 10, 2024, 4:40 PM
20m
Maison MINATEC, Grenoble, FRANCE

Maison MINATEC, Grenoble, FRANCE

3 Parv. Louis Néel, 38054 Grenoble
Regular parallel talk WG1: Structure Functions and Parton Densities WG1

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)

Presentation materials