Integration Rules for Loop Scattering Equations
arXiv:1508.03627 · doi:10.1007/JHEP11(2015)080
Abstract
We formulate new integration rules for one-loop scattering equations analogous to those at tree-level, and test them in a number of non-trivial cases for amplitudes in scalar $Ï^3$-theory. This formalism greatly facilitates the evaluation of amplitudes in the CHY representation at one-loop order, without the need to explicitly sum over the solutions to the loop-level scattering equations.
22 pages, 17 figures