Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function
High Energy Physics - Theory
2023-07-25 v1
Abstract
We consider the powers of leading order eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov~(BFKL) equation at zero conformal spin. Using reflection identities of harmonic sums we demonstrate how involved generalized polygamma functions are introduced by pole separation of a rather simple digamma function. This generates higher weight generalized polygamma functions at any given order of perturbative expansion. As a byproduct of our analysis we develop a general technique for calculating powers of the real part of digamma function in a pole separated form.
Keywords
Cite
@article{arxiv.2307.12112,
title = {Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function},
author = {Mohammad Joubat and Claudelle Capasia Madjuogang Sandeu and Alex Prygarin},
journal= {arXiv preprint arXiv:2307.12112},
year = {2023}
}
Comments
12 pages, 1 figure