2018/11/26 by Robin Marzucca, Marzucca, Robin, Bram Verbeek +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1811.10570
openalex publication_date 2018/11/26 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28
We present the computation of the eight-particle three-loop amplitude beyond\nleading logarithmic accuracy in the multi-Regge limit of planar N=4 Super\nYang-Mills theory. Starting from the all-loop dispersion integral form of the\namplitude, we consider the eight-particle case and by analyzing said dispersion\nintegral we associate it to a well-defined Fourier-Mellin transform. By using\nthe properties of the Fourier-Mellin representation and its convolution product\nstructure, we compute the three-loop eight-particle MHV amplitude at\nnext-to-leading logarithmic accuracy. From this MHV result, we obtain the\nthree-loop eight particle amplitude in multi-Regge kinematics for all helicity\nconfigurations, including next-to-next-to-MHV. Finally, we find that the result\nis described by combinations of single-valued multiple polylogarithms of\nuniform weight, the leading singularity structure of which corresponds to the\nclassification shown at leading logarithmic accuracy.\n