2011/12/31 by J. Bartels, Andrey Kormilitzin, A. Kormilitzin +4 · 52 citations
Mathematics · Physics and Astronomy · #Amplitude #Arithmetic #Black Holes and Theoretical Physics #Combinatorics #Function (biology) #Helicity #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Remainder #hep-th
paper · pdf · doi:10.1103/physrevd.86.065026
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 86(6) (American Physical Society) · 24 pages, 17 figures
arxiv created 2012/03/19 · openalex publication_date 2012/09/19 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study maximally helicity violating amplitude for the 2\ensuremath→5 scattering in the multi-Regge kinematics. The Mandelstam cut correction to the Bern-Dixon-Smirnov amplitude is calculated in the leading logarithmic approximation and the corresponding remainder function is given to any loop order in a closed integral form. We show that the leading logarithmic approximation remainder function at two loops for 2\ensuremath→5 amplitude can be written as a sum of two 2\ensuremath→4 remainder functions due to recursive properties of the leading order impact factors. We also make some generalizations for the maximally helicity violating amplitudes with more external particles. The results of the present study are in agreement with the all leg two-loop symbol derived by Caron-Huot as shown in a parallel paper of one of the authors with collaborators.