The High-Energy Limit of 2-to-2 Partonic Scattering Amplitudes

Einan Gardi, Simon Caron-Huot, Joscha Reichel, Leonardo Vernazza

Research output: Contribution to conferencePaper

Abstract

Recently, there has been significant progress in computing scattering amplitudes in the high-energy limit using rapidity evolution equations. We describe the state-of-the-art and demonstrate the interplay between exponentiation of high-energy logarithms and that of infrared singularities. The focus in this talk is the imaginary part of 2 to 2 partonic amplitudes, which can be determined by solving the BFKL equation. We demonstrate that the wavefunction is infrared finite, and that its evolution closes in the soft approximation. Within this approximation we derive a closed-form solution for the amplitude in dimensional regularization, which fixes the soft anomalous dimension to all orders at NLL accuracy. We then turn to finite contributions of the amplitude and show that the remaining hard contributions can be determined algorithmically, by iteratively solving the BFKL equation in exactly two dimensions within the class of single-valued harmonic polylogarithms. To conclude we present numerical results and analyse large-order behaviour of the amplitude.
Original languageEnglish
DOIs
Publication statusPublished - 18 Feb 2020
Event14th International Symposium on Radiative Corrections: RADCOR 2019 - Centre des congres du Palais des Papes, Avignon, France
Duration: 9 Sep 201913 Sep 2019

Conference

Conference14th International Symposium on Radiative Corrections
CountryFrance
CityAvignon
Period9/09/1913/09/19

Keywords

  • hep-ph
  • hep-th

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