Author(s)
| Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (Turin U. ; INFN, Turin) ; Vernazza, Leonardo (Turin U. ; INFN, Turin ; CERN) |
Abstract
| 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 $2\to 2$ 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. |