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2008
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N. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, “Minimal Basis for Gauge Theory Amplitudes,” Phys. Rev. Lett. 103
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F. Cachazo, S. He, and E. Y. Yuan, “Scattering Equations and Kawai-Lewellen-Tye Orthogonality,” Phys. Rev. D90
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2014
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F. Cachazo, S. He, and E. Y. Yuan, “Scattering of Massless Particles in Arbitrary Dimensions,” Phys. Rev. Lett. 113
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F. Cachazo, S. He, and E. Y. Yuan, “Scattering of Massless Particles: Scalars, Gluons and Gravitons,” JHEP 1407
Original
2014
Earlier work this paper cites.

Similar

L. Dolan and P. Goddard, “Proof of the Formula of Cachazo, He and Yuan for Yang-Mills Tree Amplitudes in Arbitrary Dimension,” JHEP 1405
Original
2014
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L. Mason and D. Skinner, “Ambitwistor Strings and the Scattering Equations,” JHEP 1407
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N. Berkovits, “Infinite Tension Limit of the Pure Spinor Superstring,” JHEP 1403
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H. Gomez and E. Y. Yuan, “ N N -Point Tree-Level Scattering Amplitude in the New Berkovits‘ String,” JHEP 1404
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Cited alongside, same era.
T. Adamo, E. Casali, and D. Skinner, “Ambitwistor Strings and the Scattering Equations at One Loop,” JHEP 1404

Then

S. G. Naculich, “Scattering Equations and BCJ Relations for Gauge and Gravitational Amplitudes with Massive Scalar Particles,” JHEP 1409
Original
2014
Later among the works it cites.
R. Monteiro and D. O’Connell, “The Kinematic Algebras from the Scattering Equations,” JHEP 1403
Original
2014
Later among the works it cites.
K. Ohmori, “Worldsheet Geometries of Ambitwistor String,” JHEP 1506
Original
2015
Closest in time.
S. Weinzierl, “Fermions and the Scattering Equations,” JHEP 1503
Original
2015
Closest in time.
F. Cachazo, S. He, and E. Y. Yuan, “Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations,” JHEP 1501
Original

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2015

Integration Rules for Scattering Equations

Baadsgaard, Christian, Bjerrum-Bohr, N. E. J., Bourjaily, Jacob L. et al.

Understand

As described by Cachazo, He and Yuan, scattering amplitudes in many quantum field theories can be represented as integrals that are fully localized on solutions to the so-called scattering equations.

Because the number of solutions to the scattering equations grows quite rapidly, the contour of integration involves contributions from many isolated components.
In this paper, we provide a simple, combinatorial rule that immediately provides the result of integration against the scattering equation constraints for any M\"obius-invariant integrand involving only simple poles.
These rules have a simple diagrammatic interpretation that makes the evaluation of any such integrand immediate.