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Consistency Conditions on S-Matrix of Spin 1 Massless Particles · Around

2008

Consistency Conditions on S-Matrix of Spin 1 Massless Particles

He, Song, Zhang, Hongbao

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Motivated by new techniques in the computation of scattering amplitudes of massless particles in four dimensions, like BCFW recursion relations, the question of how much structure of the S-matrix can be determined from purely S-matrix arguments has received new attention.

The BCFW recursion relations for massless particles of spin 1 and 2 imply that the whole tree-level S-matrix can be determined in terms of three-particle amplitudes (evaluated at complex momenta).
However, the known proofs of the validity of the relations rely on the Lagrangian of the theory, either by using Feynman diagrams explicitly or by studying the effective theory at large complex momenta.
This means that a purely S-matrix theoretic proof of the relations is still missing.

Built on

R. Britto, F. Cachazo and B. Feng, ”New Recursion Relations for Tree Amplitudes of Gluons,” Nucl. Phys. B 715
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng and E. Witten, ”Direct Proof of Tree-level Recursion Relation in Yang-Mills Theory,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.

Similar

J. Bedford, A. Brandhuber, B.J. Spence and G. Travaglini, ¡°A Recursion Relation for Gravity Amplitudes,¡± Nucl. Phys. B 721
2005
Cited alongside, same era.
A. Hall, “On-shell Recursion Relations for Gravity,” Phys. Rev. D 77
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2008
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P. Benincasa and F. Cachazo, ”Consistency Conditions on the S-matrix of Massless Particles,” arXiv:0705.4305[hep-th]
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F. Cachazo and P. Svrcek, ”Tree Level Recursion Relations in General Relativity”, arXiv:hep-th/0502160
Cited in the paper.
P. Benincasa, C. Boucher-Veronneau and F. Cachazo, ”Taming Tree Amplitudes in General Relativity,” arXiv:hep-th/0702032
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C. Cheung, ”On-Shell Recursion Relations for Generic Theories,” arXiv:0808.0504 [hep-th]
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N. Arkani-Hamed, F. Cachazo and J. Kaplan, ”What is the Simplest Quantum Field Theory?” arXiv:0808.1446 [hep-th]
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Cited in the paper.
J. M. Drummond and J. M. Henn, “All Tree-level Amplitudes in 𝒩 = 4 \mathcal{N}=4 SYM,” arXiv:0808.2475 [hep-th]
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Cited in the paper.
P. Schuster, N. Toro, “Constructing the Tree-Level Yang-Mills S-Matrix Using Complex Factorization,” arXiv:0811.3207 [hep-th]
Original
Cited in the paper.

Then

N. Arkani-Hamed and J. Kaplan, ”On Tree Amplitudes in Gauge Theory and Gravity,” JHEP 0804
Original
2008
Closest in time.
M. Bianchi, H. Elvang and D. Z. Freedman, “Generating Tree Amplitudes in 𝒩 = 4 \mathcal{N}=4 SYM and 𝒩 = 8 \mathcal{N}=8 SG,” JHEP 0809
Original
2008
Closest in time.

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