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The Twelve-Graviton Next-to-MHV Amplitude from Risager's Construction · Around

2012

The Twelve-Graviton Next-to-MHV Amplitude from Risager's Construction

Conde, Eduardo, Rajabi, Sayeh

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Understand

The MHV or CSW expansion of tree-level Yang-Mills amplitudes provides an elegant and simple way of obtaining analytic formulas for S-matrix elements.

Inspired by the BCFW technique, a systematic approach to obtain the MHV expansion was introduced by Risager, using a particular complex deformation.
Although it works for Yang-Mills amplitudes, Risager's technique fails to provide an MHV expansion already for Next-to-MHV gravity amplitudes with more than eleven particles, as shown by Bianchi, Elvang and Freedman in 2008.
This fact implies that in this sector there is a contribution at infinity starting at n = 12.

Built on

A. Hodges, “A simple formula for gravitational MHV amplitudes,” arXiv:1204.1930 [hep-th]
Original
1930
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev. 140
1965
Earlier work this paper cites.
F. A. Berends, W. T. Giele and H. Kuijf, “On relations between multi - gluon and multigraviton scattering,” Phys. Lett. B 211
1988
Earlier work this paper cites.
M. L. Mangano and S. J. Parke, “Multiparton amplitudes in gauge theories,” Phys. Rept. 200
1991
Earlier work this paper cites.
F. Cachazo, P. Svrcek, E. Witten, “MHV vertices and tree amplitudes in gauge theory,” JHEP 0409
2004
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng, E. Witten, “Direct proof of tree-level recursion relation in Yang-Mills theory,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
J. Bedford, A. Brandhuber, B. J. Spence and G. Travaglini, “A Recursion relation for gravity amplitudes,” Nucl. Phys. B 721
2005
Earlier work this paper cites.

Similar

K. Risager, “A Direct proof of the CSW rules,” JHEP 0512
2005
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, D. C. Dunbar, H. Ita, W. B. Perkins and K. Risager, “MHV-vertices for gravity amplitudes,” JHEP 0601
2006
Cited alongside, same era.
P. Benincasa, C. Boucher-Veronneau, F. Cachazo, “Taming Tree Amplitudes In General Relativity,” JHEP 0711
2007
Cited alongside, same era.
N. Arkani-Hamed, J. Kaplan, “On Tree Amplitudes in Gauge Theory and Gravity,” JHEP 0804
Original
2008
Cited alongside, same era.
H. Elvang and D. Z. Freedman, “Note on graviton MHV amplitudes,” JHEP 0805
Original
2008
Cited alongside, same era.

Then

J. M. Drummond, M. Spradlin, A. Volovich and C. Wen, “Tree-Level Amplitudes in N=8 Supergravity,” Phys. Rev. D 79
Original
2009
Later among the works it cites.
P. C. Schuster and N. Toro, “Constructing the Tree-Level Yang-Mills S-Matrix Using Complex Factorization,” JHEP 0906
Original
2009
Later among the works it cites.
L. J. Mason and D. Skinner, “Gravity, Twistors and the MHV Formalism,” Commun. Math. Phys. 294
Original
2010
Later among the works it cites.
D. Nguyen, M. Spradlin, A. Volovich and C. Wen, “The Tree Formula for MHV Graviton Amplitudes,” JHEP 1007
Original
2010
Later among the works it cites.
P. Benincasa and E. Conde, “On the Tree-Level Structure of Scattering Amplitudes of Massless Particles,” JHEP 1111

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M. Bianchi, H. Elvang and D. Z. Freedman, “Generating Tree Amplitudes in N=4 SYM and N = 8 SG,” JHEP 0809

2008

Cited alongside, same era.

M. Spradlin, A. Volovich and C. Wen, “Three Applications of a Bonus Relation for Gravity Amplitudes,” Phys. Lett. B 674

2009

Cited alongside, same era.

D. Nandan and C. Wen, “Generating All Tree Amplitudes in N=4 SYM by Inverse Soft Limit,” arXiv:1204.4841 [hep-th]

Cited in the paper.

2011

Later among the works it cites.

C. Boucher-Veronneau and A. J. Larkoski, “Constructing Amplitudes from Their Soft Limits,” JHEP 1109

2011

Later among the works it cites.