Off-Shell CHY Amplitudes and Feynman Graphs

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 ${\varphi }^3$ Feynman graphs. A CHY expression for individual Feynman graphs, valid even off shell, is established through a recurrence relation.

arXiv comment19 pages, clarification of equations (1.13), (3.7), (3.9), added Comments, corrected reference

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Cited by in corpus (2)

• Properties of the Conformal Yangian in Scalar and Gauge Field Theories
• CHY Theory for Several Fields