Two-parton scattering in the high-energy limit

Simon Caron-Huot, Einan Gardi, Leonardo Vernazza

Research output: Contribution to journalArticlepeer-review

Abstract

Considering 2→2 gauge-theory scattering with general colour in the high-energy limit, we compute the Regge-cut contribution to three loops through next-to-next-to-leading high-energy logarithms (NNLL) in the signature-odd sector. Our formalism is based on using the non-linear Balitsky-JIMWLK rapidity evolution equation to derive an effective Hamiltonian acting on states with a fixed number of Reggeized gluons. A new effect occurring first at NNLL is mixing between states with k and k+2 Reggeized gluons due non-diagonal terms in this Hamiltonian. Our results are consistent with a recent determination of the infrared structure of scattering amplitudes at three loops, as well as a computation of 2→2 gluon scattering in N=4 super Yang-Mills theory. Combining the latter with our Regge-cut calculation we extract the three-loop Regge trajectory in this theory. Our results open the way to predict high-energy logarithms through NNLL at higher-loop orders.
Original languageEnglish
Article number16
Number of pages63
Journal Journal of High Energy Physics
Volume2017
DOIs
Publication statusPublished - 5 Jun 2017

Keywords

  • hep-ph
  • hep-th

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