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2016

Evaluation of the CHY Gauge Amplitude

Lam, C. S., Yao, York-Peng

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The Cachazo-He-Yuan (CHY) formula for $n$-gluon scattering is known to give the same amplitude as the one obtained from Feynman diagrams, though the former contains neither vertices nor propagators explicitly.

The equivalence was shown by indirect means, not by a direct evaluation of the $(n\! - \!3)$-dimensional integral in the CHY formula.
The purpose of this paper is to discuss how such a direct evaluation can be carried out.
There are two basic difficulties in the calculation: how to handle the large number of terms in the reduced Pfaffian, and how to carry out the integrations in the presence of a $\sigma$-dependence much more complicated than the Parke-Taylor form found in a CHY double-color scalar amplitude.

Evaluation of the CHY Gauge Amplitude · Around

Built on

S. Parke and T. Taylor, Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
Y.J. Feng and C.S. Lam, Phys. Rev. D53
Original
1996
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, E. Witten, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
F. Cachazo, S. He, and E.Y. Yuan, Phys. Rev. D 90
2014
Earlier work this paper cites.

Similar

F. Cachazo, S. He, and E.Y. Yuan, Phys. Rev. Lett. 113
2014
Cited alongside, same era.
F. Cachazo, S. He, and E.Y. Yuan, JHEP 1407
2014
Cited alongside, same era.
L. Dolan and P. Goddard, JHEP 1401
Original
2014
Cited alongside, same era.
C.S. Lam and Y.P. Yao, arXiv:1512.05387
Original
Cited in the paper.
F. Cachazo, H. Gomez, arXiv:1505.03571
Original
Cited in the paper.

Then

F. Cachazo, S. He, and E.Y. Yuan, JHEP 1501
2015
Later among the works it cites.
C. Baadsgaard, N. E. J. Bjerrum-Bohr, J. L. Bourjaily, and P. H. Damgaard, JHEP 1509
Original
2015
Later among the works it cites.
C. Baadsgaard, N. E. J. Bjerrum-Bohr, J. L. Bourjaily, and P. H. Damgaard, JHEP 1509
Original
2015
Later among the works it cites.

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