TY - JOUR

T1 - Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function

AU - Joubat, Mohammad

AU - Capasia Madjuogang Sandeu, Claudelle

AU - Prygarin, Alex

N1 - Publisher Copyright:
© 2023 The Author(s)

PY - 2024/1

Y1 - 2024/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85177605399&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2023.138319

DO - 10.1016/j.physletb.2023.138319

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AN - SCOPUS:85177605399

SN - 0370-2693

VL - 848

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

M1 - 138319

ER -