English

Integration Rules for Loop Scattering Equations

High Energy Physics - Theory 2016-01-20 v1

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 ϕ3\phi^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.

Keywords

Cite

@article{arxiv.1508.03627,
  title  = {Integration Rules for Loop Scattering Equations},
  author = {Christian Baadsgaard and N. E. J. Bjerrum-Bohr and Jacob L. Bourjaily and Poul H. Damgaard and Bo Feng},
  journal= {arXiv preprint arXiv:1508.03627},
  year   = {2016}
}

Comments

22 pages, 17 figures

R2 v1 2026-06-22T10:34:08.394Z