2016/12/31 by Alexander Ochirov, Ben Page · 1 citation
Physics and Astronomy · #Amplitude #Connection (principal bundle) #Crossing #Exposition (narrative) #High-Energy Particle Collisions Research #Loop (graph theory) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Scattering amplitude #Symmetry (geometry) #Unitarity #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep02(2017)100
published as JHEP 1702 (2017) 100 · 26 pages + appendices + refs; v2 minor corrections, journal version
openalex created_date 2017/01/06 · openalex publication_date 2017/02/01 · arxiv created 2017/02/21 · arxiv updated 2017/02/22 · openalex updated_date 2026/08/05
We present a general method to account for full colour dependence Yang-Mills amplitudes at loop level. The method fits most naturally into the framework of multi-loop integrand reduction and in a nutshell amounts to consistently retaining the colour structures of the unitarity cuts from which the integrand is gradually constructed. This technique has already been used in the recent calculation of the two-loop five-gluon amplitude in pure Yang-Mills theory with all positive helicities, JHEP 10 (2015) 064. In this note, we give a careful exposition of the method and discuss its connection to looplevel Kleiss-Kuijf relations. We also explore its implications for cancellation of nontrivial symmetry factors at two loops. As an example of its generality, we show how it applies to the three-loop case in supersymmetric Yang-Mills case.