2011

Constructing Amplitudes from Their Soft Limits

Boucher-Veronneau, Camille, Larkoski, Andrew J.

Understand

The existence of universal soft limits for gauge-theory and gravity amplitudes has been known for a long time.

The properties of the soft limits have been exploited in numerous ways; in particular for relating an n-point amplitude to an (n-1)-point amplitude by removing a soft particle.
Recently, a procedure called inverse soft was developed by which "soft" particles can be systematically added to an amplitude to construct a higher-point amplitude for generic kinematics.
We review this procedure and relate it to Britto-Cachazo-Feng-Witten recursion.

Built on

S. Weinberg, “Photons and Gravitons in s Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,” Phys. Rev. 135
1964
Earlier work this paper cites.
D. I. Olive, “Exploration of S S -Matrix Theory,” Phys. Rev. B135
1966
Earlier work this paper cites.
E. Cremmer, B. Julia, “The SO(8) Supergravity,” Nucl. Phys. B159
1979
Earlier work this paper cites.
F. A. Berends et al
1984
Earlier work this paper cites.
F. A. Berends, W. T. Giele, H. Kuijf, “On relations between multi - gluon and multigraviton scattering,” Phys. Lett. B211
1988
Earlier work this paper cites.
For reviews, see: L. J. Dixon, “Calculating scattering amplitudes efficiently,” [ arXiv:hep-ph/9601359 ]; M. L. Mangano, S. J. Parke, “Multiparton amplitudes in gauge theories,” Phys. Rept. 200
Original
1991
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, D. A. Kosower, “One loop n point gauge theory amplitudes, unitarity and collinear limits,” Nucl. Phys. B425
1995
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein and J. S. Rozowsky, “Multileg one loop gravity amplitudes from gauge theory,” Nucl. Phys. B 546
1999
Earlier work this paper cites.

Similar

E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun. Math. Phys. 252
2004
Cited alongside, same era.
Z. Bern, L. J. Dixon, D. A. Kosower, “One loop amplitudes for e+ e- to four partons,” Nucl. Phys. B513
2005
Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng, “New recursion relations for tree amplitudes of gluons,” Nucl. Phys. B715
2005
Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng, E. Witten, “Direct proof of tree-level recursion relation in Yang-Mills theory,” Phys. Rev. Lett. 94
2005
Cited alongside, same era.
J. Bedford, A. Brandhuber, B. J. Spence and G. Travaglini, “A recursion relation for gravity amplitudes,” Nucl. Phys. B 721
2007
Cited alongside, same era.
F. Cachazo, D. Skinner, “On the structure of scattering amplitudes in N=4 super Yang-Mills and N=8 supergravity,” [ arXiv:0801.4574 ]; F. Cachazo, “Sharpening The Leading Singularity,” [ arXiv:0803.1988 ]; F. Cachazo, M. Spradlin, A. Volovich, “Leading Singularities of the Two-Loop Six-Particle MHV Amplitude,” Phys. Rev. D78
Original
2008
Cited alongside, same era.
N. Arkani-Hamed and J. Kaplan, “On Tree Amplitudes in Gauge Theory and Gravity,” JHEP 0804
Original
2008
Cited alongside, same era.
J. M. Drummond, J. M. Henn, “All tree-level amplitudes in N=4 SYM,” JHEP 0904
Original
2009
Cited alongside, same era.
N. Arkani-Hamed, unpublished
Cited in the paper.
N. Arkani-Hamed, F. Cachazo, C. Cheung, J. Kaplan, unpublished
Cited in the paper.
A. Hodges, “New expressions for gravitational scattering amplitudes,” [ arXiv:1108.2227 ]
Original
Cited in the paper.

Then

P. C. Schuster, N. Toro, “Constructing the Tree-Level Yang-Mills S-Matrix Using Complex Factorization,” JHEP 0906
Original
2009
Later among the works it cites.
J. M. Drummond, J. M. Henn, J. Plefka, “Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory,” JHEP 0905
Original
2009
Later among the works it cites.
N. Arkani-Hamed, F. Cachazo, C. Cheung, J. Kaplan, “A Duality For The S Matrix,” JHEP 1003
Original
2010
Later among the works it cites.
D. Nguyen, M. Spradlin, A. Volovich, C. Wen, “The Tree Formula for MHV Graviton Amplitudes,” JHEP 1007
Original
2010
Later among the works it cites.
N. Arkani-Hamed, F. Cachazo, J. Kaplan, JHEP 1009
Original
2010
Later among the works it cites.
J. M. Drummond, J. Henn, G. P. Korchemsky, E. Sokatchev, “Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory,” Nucl. Phys. B828
Original
2010
Later among the works it cites.
M. Bullimore, “Inverse Soft Factors and Grassmannian Residues,” JHEP 1101
Original
2011
Closest in time.

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