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2012
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F. Cachazo, S. He and E. Y. Yuan, Scattering in Three Dimensions from Rational Maps , JHEP 10
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2013
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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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Similar

F. Cachazo, S. He and E. Y. Yuan, Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations , JHEP 01
Original
2015
Cited alongside, same era.
F. Cachazo, S. He and E. Y. Yuan, Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM , JHEP 07
Original
2015
Cited alongside, same era.
M. Chiodaroli, M. Gunaydin, H. Johansson and R. Roiban, Scattering amplitudes in 𝒩 = 2 \mathcal{N}=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity , JHEP 01
Original
2015
Cited alongside, same era.
Y. Geyer, L. Mason, R. Monteiro and P. Tourkine, Loop Integrands for Scattering Amplitudes from the Riemann Sphere , Phys. Rev. Lett. 115
Original
2015
Cited alongside, same era.
S. Stieberger and T. R. Taylor, New relations for Einstein-Yang-Mills amplitudes , Nucl. Phys. B913

Then

C. Cardona, B. Feng, H. Gomez and R. Huang, Cross-ratio Identities and Higher-order Poles of CHY-integrand , JHEP 09
Original
2016
Later among the works it cites.
F. Cachazo, P. Cha and S. Mizera, Extensions of Theories from Soft Limits , JHEP 06
Original
2016
Later among the works it cites.
Y.-J. Du and C.-H. Fu, Explicit BCJ numerators of nonlinear simga model , JHEP 09
Original
2016
Later among the works it cites.
Y. Geyer, L. Mason, R. Monteiro and P. Tourkine, One-loop amplitudes on the Riemann sphere , JHEP 03
Original
2016
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, One-Loop Corrections from Higher Dimensional Tree Amplitudes , JHEP 08

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2017

Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame

Teng, Fei, Feng, Bo

Understand

Using the Cachazo-He-Yuan (CHY) formalism, we prove a recursive expansion of tree level single trace Einstein-Yang-Mills (EYM) amplitudes with arbitrary number of gluons and gravitons, which is valid for general spacetime dimensions and any helicity configurations.

The recursion is written in terms of fewer-graviton EYM amplitudes and pure Yang-Mills (YM) amplitudes, which can be further carried out until we reach an expansion in terms of pure YM amplitudes in Kleiss-Kuijf (KK) basis.
Our expansion then generates naturally a spanning tree structure rooted on gluons whose vertices are gravitons.
We further propose a set of graph theoretical rules based on spanning trees that evaluate directly the pure YM expansion coefficients.