G. Papathanasiou

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

Abstract: 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.