Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function

Mohammad Joubat, Claudelle Capasia Madjuogang Sandeu, Alex Prygarin

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number138319
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume848
DOIs
StatePublished - Jan 2024

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