Built on

A. Hodges, “A simple formula for gravitational MHV amplitudes,” arXiv:1204.1930 [hep-th]
Original
1930
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B 269
1986
Earlier work this paper cites.
S. J. Parke and T. R. Taylor, “An Amplitude for n n Gluon Scattering,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
R. Kleiss and H. Kuijf, “Multi - Gluon Cross-sections and Five Jet Production at Hadron Colliders,” Nucl. Phys. B 312
1989
Earlier work this paper cites.
L. J. Dixon, “Calculating scattering amplitudes efficiently,” In *Boulder 1995, QCD and beyond* 539-582 [hep-ph/9601359]
1995
Earlier work this paper cites.
E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun. Math. Phys. 252
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin and A. Volovich, “On the tree level S matrix of Yang-Mills theory,” Phys. Rev. D 70
2004
Earlier work this paper cites.
E. Witten, “Parity invariance for strings in twistor space,” Adv. Theor. Math. Phys. 8
2004
Earlier work this paper cites.

Similar

Z. Bern, J. J. M. Carrasco and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev. D 78
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2008
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N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, “Minimal Basis for Gauge Theory Amplitudes,” Phys. Rev. Lett. 103
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B. Feng and S. He, “KLT and New Relations for N=8 SUGRA and N=4 SYM,” JHEP 1009
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N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, “Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes,” JHEP 1006
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2010
Cited alongside, same era.
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Then

F. Cachazo, S. He and E. Y. Yuan, “Scattering in Three Dimensions from Rational Maps,” JHEP 1310
Original
2013
Later among the works it cites.
F. Cachazo, L. Mason and D. Skinner, “Gravity in Twistor Space and its Grassmannian Formulation,” SIGMA 10
Original
2014
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, “Scattering of Massless Particles in Arbitrary Dimensions,” Phys. Rev. Lett. 113
Original
2014
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, “Scattering of Massless Particles: Scalars, Gluons and Gravitons,” JHEP 1407
Original
2014
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, “Scattering equations and Kawai-Lewellen-Tye orthogonality,” Phys. Rev. D 90

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2016

Minimal Basis in Four Dimensions and Scalar Blocks

Cachazo, Freddy, Zhang, Guojun

Understand

We find a construction that expresses any tree-level $n$-particle ${\rm N^{k-2}MHV}$ color-ordered partial amplitude in gauge theory as a linear combination of a basis of dimension $\eulerian{n-3}{k-2}$.

Here $\eulerian{p}{q}$ denotes the $(p,q)$ Eulerian number.
The coefficients of the expansion are independent of the helicities of the particles.
This basis is a four-dimensional refinement of the $(n-3)!$-element BCJ basis which is valid in any number of dimensions.

Built on

A. Hodges, “A simple formula for gravitational MHV amplitudes,” arXiv:1204.1930 [hep-th]
Original
1930
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B 269
1986
Earlier work this paper cites.
S. J. Parke and T. R. Taylor, “An Amplitude for n n Gluon Scattering,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
R. Kleiss and H. Kuijf, “Multi - Gluon Cross-sections and Five Jet Production at Hadron Colliders,” Nucl. Phys. B 312
1989
Earlier work this paper cites.
L. J. Dixon, “Calculating scattering amplitudes efficiently,” In *Boulder 1995, QCD and beyond* 539-582 [hep-ph/9601359]
1995
Earlier work this paper cites.
E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun. Math. Phys. 252
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin and A. Volovich, “On the tree level S matrix of Yang-Mills theory,” Phys. Rev. D 70
2004
Earlier work this paper cites.
E. Witten, “Parity invariance for strings in twistor space,” Adv. Theor. Math. Phys. 8
2004
Earlier work this paper cites.