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  • Letter
  • Open Access

Climbing three-Reggeon ladders: Four-loop amplitudes in the high-energy limit in full color

Giulio Falcioni1,*, Einan Gardi1,†, Calum Milloy2,‡, and Leonardo Vernazza2,§

  • 1Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3FD, Scotland, United Kingdom
  • 2Dipartimento di Fisica and Arnold-Regge Center, Universitá di Torino, and INFN, Sezione di Torino, Via P. Giuria 1, I-10125 Torino, Italy

  • *Giulio.Falcioni@ed.ac.uk
  • †Einan.Gardi@ed.ac.uk
  • ‡CalumWilliam.Milloy@unito.it
  • §Leonardo.Vernazza@to.infn.it
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Phys. Rev. D 103, L111501 – Published 7 June, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L111501

Abstract

We show that an iterative solution of rapidity evolution equations with a leading-order kernel renders the entire signature-odd tower of next-to-next-to-leading logarithmic (NNLL) contributions to partonic 2→2 amplitudes in the Regge limit computable in full color. The result, which universally holds in any gauge theory, corresponds to a set of three-Reggeon ladder diagrams. In this setting we compute the NNLL amplitude to four loops in dimensional regularization through finite corrections. Furthermore, by contrasting the result with the exponentiation properties of soft singularities we determine the four-loop correction to the soft anomalous dimension at this logarithmic accuracy. The latter features quartic Casimir contributions beyond those appearing in the cusp anomalous dimension. Finally, in the case of N=4 super Yang-Mills, we also determine the finite hard function at four loops through NNLL in full color.

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Information

Phys. Rev. D 103, L111501– Published 7 June, 2021
  • Received 10 December 2020
  • Accepted 10 May 2021
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