The BFKL high energy asymptotic in the next-to-leading approximation

Eugene Levin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


We discuss the high energy asymptotic in the next-to-leading (NLO) BFKL equation. We find a general solution for the Green functions and consider two properties of the NLO BFKL kernel: running QCD coupling and large NLO corrections to the conformal part of the kernel. Both these effects lead to Regge-BFKL asymptotic only in the limited range of energy (y = ln(s/qq0) ≤ (αs)-5/3) and change the energy behaviour of the amplitude for higher values of energy. We confirm the oscillation in the total cross section found by D.A. Ross [SHEP-98-06, hep-ph/9804332] in the NLO BFKL asymptotic, which shows that the NLO BFKL has a serious pathology.

Original languageEnglish
Pages (from-to)481-504
Number of pages24
JournalNuclear Physics B
Issue number1-3
StatePublished - 19 Apr 1999


  • BFKL pomeron
  • Evolution equations
  • Next-to-leading order corrections
  • Perturbative QCD


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