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Roots of Amplitudes · Around

2011

Roots of Amplitudes

Feng, Bo, Jia, Yin, Luo, Hui et al.

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In a recent paper [arXiv:1106.0166], boundary contributions in BCFW recursion relations have been related to roots of amplitudes.

In this paper, we make several analyses regarding to this problem.
Firstly, we use different ways to re-derive boundary BCFW recursion relations given in [arXiv:1106.0166].
Secondly, we generalize factorization limits to z-dependent ones, where information of roots is more transparent.

Built on

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R. Britto, E. Buchbinder, F. Cachazo and B. Feng, Phys. Rev. D 72
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R. Britto, F. Cachazo and B. Feng, “New Recursion Relations for Tree Amplitudes of Gluons,” Nucl. Phys. B 715
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Similar

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
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C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, Phys. Lett. B 645
2007
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D. Forde, Phys. Rev. D 75
Original
2007
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P. Benincasa, C. Boucher-Veronneau and F. Cachazo, “Taming Tree Amplitudes In General Relativity,” JHEP 0711
2007
Cited alongside, same era.
N. Arkani-Hamed and J. Kaplan, “On Tree Amplitudes in Gauge Theory and Gravity,” JHEP 0804
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2008
Cited alongside, same era.

Then

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.
Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, Phys. Rev. D 82
Original
2010
Later among the works it cites.
R. H. Boels, “No triangles on the moduli space of maximally supersymmetric gauge theory,” JHEP 1005
Original
2010
Later among the works it cites.
B. Feng, J. Wang, Y. Wang and Z. Zhang, “BCFW Recursion Relation with Nonzero Boundary Contribution,” JHEP 1001
Original
2010
Later among the works it cites.
B. Feng and C. Y. Liu, “A Note on the boundary contribution with bad deformation in gauge theory,” JHEP 1007

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P. Benincasa, F. Cachazo, “Consistancy Conditions On The S-Matix Of Massless Particles” hep-th/07054305

Cited in the paper.

B. Feng, Z. Zhang, “Boundary Contributions Using Fermion Pair Deformation,” [arXiv:1109.1887 [hep-th]]

Cited in the paper.

P. Benincasa and E. Conde, “On the Tree-Level Structure of Scattering Amplitudes of Massless Particles,” arXiv:1106.0166 [hep-th]

Cited in the paper.

P. Benincasa and E. Conde, “Exploring the S-Matrix of Massless Particles,” arXiv:1108.3078 [hep-th]

Cited in the paper.

2010

Later among the works it cites.