Two-parton scattering amplitudes in the Regge limit to high loop orders

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

Research output: Contribution to journalArticlepeer-review

Abstract

We study two-to-two parton scattering amplitudes in the high-energy limit of perturbative QCD by iteratively solving the BFKL equation. This allows us to predict the imaginary part of the amplitude to leading-logarithmic order for arbitrary t-channel colour exchange. The corrections we compute correspond to ladder diagrams with any number of rungs formed between two Reggeized gluons. Our approach exploits a separation of the two-Reggeon wavefunction, performed directly in momentum space, between a soft region and a generic (hard) region. The former component of the wavefunction leads to infrared divergences in the amplitude and is therefore computed in dimensional regularization; the latter is computed directly in two transverse dimensions and is expressed in terms of single-valued harmonic polylogarithms of uniform weight. By combining the two we determine exactly both infrared-divergent and finite contributions to the two-to-two scattering amplitude order-by-order in perturbation theory. We study the result numerically to 13 loops and find that finite corrections to the amplitude have a finite radius of convergence which depends on the colour representation of the t-channel exchange.
Original languageEnglish
Article number116
Journal Journal of High Energy Physics
DOIs
Publication statusPublished - 25 Aug 2020

Keywords

  • hep-ph

Fingerprint

Dive into the research topics of 'Two-parton scattering amplitudes in the Regge limit to high loop orders'. Together they form a unique fingerprint.

Cite this