Six-point remainder function in multi-Regge-kinematics: an efficient\n approach in momentum space

2015/12/15 by Johannes Broedel, Broedel, Johannes, M. Sprenger +1 · 1 citation
Physics and Astronomy · Engineering · #Black Holes and Theoretical Physics #Superconducting Materials and Applications #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1512.04963

Abstract

Starting from the known all-order expressions for the BFKL eigenvalue and\nimpact factor, we establish a formalism allowing the direct calculation of the\nsix-point remainder function in N=4 super-Yang-Mills theory in momentum space\nto - in principle - all orders in perturbation theory. Based upon identities\nwhich relate different integrals contributing to the inverse Fourier-Mellin\ntransform recursively, the formalism allows to easily access the full remainder\nfunction in multi-Regge kinematics up to 7 loops and up to 10 loops in the\nfourth logarithmic order. Using the formalism, we prove the all-loop formula\nfor the leading logarithmic approximation proposed by Pennington and\ninvestigate the behavior of several newly calculated functions.\n

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