Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type
High Energy Physics - Phenomenology
2026-04-10 v2 Mathematical Physics
math.MP
Abstract
We propose an algorithm to find a solution to an integro-differential equation of the DGLAP type for all the orders in the running coupling with splitting functions given at a fixed order in Complex analysis is significantly used in the construction of the algorithm, we found a simpler way to calculate the involved integrals over contours in the complex planes than by any of the methods known at present.
Keywords
Cite
@article{arxiv.1906.07924,
title = {Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type},
author = {Igor Kondrashuk},
journal= {arXiv preprint arXiv:1906.07924},
year = {2026}
}
Comments
9 pages, Talk at ACAT 2019, Saas-Fee, Switzerland, revised version