We review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution equations. We then focus on our recent results regarding 2 -> 2 parton scattering. We present the calculation of the imaginary part of the amplitude, at next-to-leading logarithmic accuracy in the high-energy logarithms, formally to all orders, and in practice to 13 loops. We then discuss the computation of the real part of the amplitude at next-to-next-to-leading logarithmic accuracy and through four loops. Both computations are carried in full colour, and provide new insight into the analytic structure of scattering amplitudes and their infrared singularity structure.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 University of Edinburgh
- 2 Università degli Studi di Torino / University of Turin [UNITO]
- 3 Organisation européenne pour la recherche nucléaire / European Organization for Nuclear Research [CERN]
- European Research Council [ERC]
- Horizon 2020 (through Organization: European Commission [EC])
- Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])
- Science and Technology Facilities Council [STFC]