Reflection identities of harmonic sums and pole decomposition of BFKL eigenvalue

Mohammad Joubat, Alex Prygarin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We analyze the recent results of next-to-next-to-leading (NNLO) singlet BFKL eigenvalue in N = 4 SYM written in terms of harmonic sums. The nested harmonic sums building known NNLO BFKL eigenvalue for specific values of the conformal spin have poles at negative integers. We sort the harmonic sums according to the complexity with respect to their weight and depth and use their pole decomposition in terms of the reflection identities to find the most complicated terms of NNLO BFKL eigenvalue for an arbitrary value of the conformal spin. The obtained result is compatible with the Bethe-Salpeter approach to the BFKL evolution.

Original languageEnglish
Article number2150025
JournalInternational Journal of Modern Physics A
Issue number4
StatePublished - 10 Feb 2021


  • BFKL
  • Regge theory
  • pomeron


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