Sep 9 – 13, 2019
Europe/Zurich timezone

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

Sep 9, 2019, 11:30 AM
25m
Chambre du Trésorier

Chambre du Trésorier

Speaker

Einan Gardi (The University of Edinburgh)

Description

Recently, there has been significant progress in computing scattering amplitudes in the high-energy limit using rapidity evolution equations. I 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. I demonstrate that the wavefunction is infrared finite, and that its evolution closes in the soft approximation. Within this approximation I derive a closed-form solution for the amplitude in dimensional regularization, which fixes the soft anomalous dimension to all orders at NLL accuracy.
I 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 I present numerical results and analyse large-order behaviour of the amplitude.

Primary authors

Simon Caron-Huot Leonardo Vernazza (Nikhef and University of Amsterdam) Dr Joscha Reichel (University of Edinburgh) Einan Gardi (The University of Edinburgh)

Presentation materials