English

Off-Shell CHY Amplitudes and Feynman Graphs

High Energy Physics - Theory 2020-04-29 v3

Abstract

A polynomial form is established for the off-shell CHY scattering equations proposed by Lam and Yao. Re-expressing this in terms of independent Mandelstam invariants provides a new expression for the polynomial scattering equations, immediately valid off shell, which makes it evident that they yield the off-shell amplitudes given by massless ϕ3\phi^3 Feynman graphs. A CHY expression for individual Feynman graphs, valid even off shell, is established through a recurrence relation.

Keywords

Cite

@article{arxiv.1910.12791,
  title  = {Off-Shell CHY Amplitudes and Feynman Graphs},
  author = {Louise Dolan and Peter Goddard},
  journal= {arXiv preprint arXiv:1910.12791},
  year   = {2020}
}

Comments

19 pages, clarification of equations (1.13), (3.7), (3.9), added Comments, corrected reference

R2 v1 2026-06-23T11:57:23.869Z