N=4 super Yang-Mills amplitudes: Multi-loop, multi-leg and sometimes multi-Regge

Tuesday, 7 November 2017 at 11:15, in Y16 G05 - Campus Irchel

Maximally supersymmetric Yang-Mills theory stands out as an interacting 4-dimensional gauge theory which may be exactly solvable in the planar limit.  In this talk, I report on recent progress in the computation of the scattering amplitudes of the theory, with the help of two complementary approaches: First, the bootstrap method, which yields the 6- and 7-particle amplitudes in general kinematics to 6 and 4 loops respectively, by exploiting their analytic structure; and second, the study of the multi-Regge limit, where factorization, dual conformal invariance and appropriate soft limit behavior lead to all-loop Fourier-Mellin integrals for any number of particles. Extracting the building blocks of the latter perturbatively from known results in momentum space, we obtain all 3-loop MHV amplitudes at next-to-leading-logarithmic accuracy.