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 φ 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.
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Baadsgaard, C., Bjerrum-Bohr, N.E.J., Bourjaily, J.L. et al. Integration rules for loop scattering equations. J. High Energ. Phys. 2015, 80 (2015). https://doi.org/10.1007/JHEP11(2015)080
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DOI: https://doi.org/10.1007/JHEP11(2015)080