Real valued functions for the bfkl eigenvalue

Mohammad Joubat, Alex Prygarin

Research output: Contribution to journalArticlepeer-review


We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in N = 4 super Yang-Mills theory as a real valued function of two variables. We define new real valued functions of two complex conjugate variables that have a definite complexity analogous to the weight of the nested harmonic sums. We argue that those functions span a general space of functions for the BFKL eigenvalue at any order of the perturbation theory.

Original languageEnglish
Article number444
Issue number11
StatePublished - Nov 2021


  • BFKL equation
  • Maximal transcendentality
  • Real valued functions


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