Built on

S. J. Parke and T. R. Taylor, An Amplitude for n n Gluon Scattering
1986
Earlier work this paper cites.
M. L. Mangano, S. J. Parke, and Z. Xu, Duality and Multi-Gluon Scattering
1988
Earlier work this paper cites.
F. Cachazo, Sharpening the Leading Singularity
Original
1988
Earlier work this paper cites.
R. Kleiss and H. Kuijf, Multi-Gluon Cross-sections and Five-Jet Production at Hadron Colliders
1989
Earlier work this paper cites.
M. L. Mangano and S. J. Parke, Multiparton Amplitudes in Gauge Theories
1991
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One-Loop n n -Point Gauge-Theory Amplitudes, Unitarity and Collinear Limits
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Fusing Gauge Theory Tree amplitudes into Loop Amplitudes
1995
Earlier work this paper cites.
Z. Bern, J. Rozowsky, and B. Yan, Two-Loop Four-Gluon Amplitudes in N = 4 N=4 SuperYang-Mills
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One-Loop Selfdual and N = 4 N=4 Super-Yang-Mills
1997
Earlier work this paper cites.
G. Lusztig, Total positivity in partial flag manifolds
1998
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. Dunbar, M. Perelstein, and J. Rozowsky, On the Relationship Between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
1998
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein, and J. S. Rozowsky, Multileg One Loop Gravity Amplitudes from Gauge Theory
1999
Earlier work this paper cites.
N. Beisert and M. Staudacher, The N = 4 N=4 SYM Integrable Super Spin Chain
2003
Earlier work this paper cites.
L. K. Williams, Enumeration of Totally Positive Grassmann Cells
2003
Earlier work this paper cites.
E. Witten, Perturbative Gauge Theory as a String Theory in Twistor Space
2004
Earlier work this paper cites.
A. Kotikov, L. Lipatov, A. Onishchenko, and V. Velizhanin, Three-Loop Universal Anomalous Dimension of the Wilson Operators in N = 4 N=4 SUSY Yang-Mills Model
2004
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
2005
Earlier work this paper cites.
A. Postnikov, Total Positivity, Grassmannians, and Networks
2006
Earlier work this paper cites.
J. Drummond, J. Henn, V. Smirnov, and E. Sokatchev, Magic Identities for Conformal Four-Point Integrals
2007
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, Gluon Scattering Amplitudes at Strong Coupling
Original
2007
Earlier work this paper cites.
N. Beisert, B. Eden, and M. Staudacher, Transcendentality and Crossing
2007
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, The Amplituhedron
Original
2007
Earlier work this paper cites.
A. Postnikov, D. Speyer, and L. Williams, Matching Polytopes, Toric Geometry, and the Non-negative Part of the Grassmannian
Original
2007
Earlier work this paper cites.
Z. Bern, J. Carrasco, L. J. Dixon, H. Johansson, D. Kosower, and R. Roiban, Three-Loop Superfiniteness of N = 8 N=8 Supergravity
2007
Earlier work this paper cites.

Similar

Z. Bern, J. Carrasco, H. Johansson, and D. Kosower, Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
Original
2007
Cited alongside, same era.
J. Drummond, G. Korchemsky, and E. Sokatchev, Conformal Properties of Four-Gluon Planar Amplitudes and Wilson Loops
Original
2008
Cited alongside, same era.
A. Brandhuber, P. Heslop, and G. Travaglini, MHV Amplitudes in N = 4 N=4 Super Yang-Mills and Wilson Loops
Original
2008
Cited alongside, same era.
Z. Bern, J. Carrasco, and H. Johansson, New Relations for Gauge-Theory Amplitudes
Original
2008
Cited alongside, same era.
Z. Bern, L. Dixon, D. Kosower, R. Roiban, M. Spradlin, et al., The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory

Then

N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, and J. Trnka, Local Integrals for Planar Scattering Amplitudes
Original
2012
Later among the works it cites.
Z. Bern, J. Carrasco, L. Dixon, H. Johansson, and R. Roiban, Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
Original
2012
Later among the works it cites.
B. Basso, A. Sever, and P. Vieira, Spacetime and Flux Tube S-Matrices at Finite Coupling for N = 4 N=4 Supersymmetric Yang-Mills Theory
Original
2013
Later among the works it cites.
L. J. Dixon, J. M. Drummond, M. von Hippel, and J. Pennington, Hexagon Functions and the Three-Loop Remainder Function
Original
2013
Later among the works it cites.
A. Hodges, Eliminating Spurious Poles from Gauge-Theoretic Amplitudes

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2015

Evidence for a Nonplanar Amplituhedron

Bern, Zvi, Herrmann, Enrico, Litsey, Sean et al.

Understand

The scattering amplitudes of planar N = 4 super-Yang-Mills exhibit a number of remarkable analytic structures, including dual conformal symmetry and logarithmic singularities of integrands.

The amplituhedron is a geometric construction of the integrand that incorporates these structures.
This geometric construction further implies the amplitude is fully specified by constraining it to vanish on spurious residues.
By writing the amplitude in a dlog basis, we provide nontrivial evidence that these analytic properties and "zero conditions" carry over into the nonplanar sector.

Built on

S. J. Parke and T. R. Taylor, An Amplitude for n n Gluon Scattering
1986
Earlier work this paper cites.
M. L. Mangano, S. J. Parke, and Z. Xu, Duality and Multi-Gluon Scattering
1988
Earlier work this paper cites.
F. Cachazo, Sharpening the Leading Singularity
Original
1988
Earlier work this paper cites.
R. Kleiss and H. Kuijf, Multi-Gluon Cross-sections and Five-Jet Production at Hadron Colliders
1989
Earlier work this paper cites.
M. L. Mangano and S. J. Parke, Multiparton Amplitudes in Gauge Theories
1991
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One-Loop n n -Point Gauge-Theory Amplitudes, Unitarity and Collinear Limits
1994
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Fusing Gauge Theory Tree amplitudes into Loop Amplitudes
1995
Earlier work this paper cites.
Z. Bern, J. Rozowsky, and B. Yan, Two-Loop Four-Gluon Amplitudes in N = 4 N=4 SuperYang-Mills
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One-Loop Selfdual and N = 4 N=4 Super-Yang-Mills
1997
Earlier work this paper cites.
G. Lusztig, Total positivity in partial flag manifolds
1998
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. Dunbar, M. Perelstein, and J. Rozowsky, On the Relationship Between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
1998
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein, and J. S. Rozowsky, Multileg One Loop Gravity Amplitudes from Gauge Theory
1999
Earlier work this paper cites.
N. Beisert and M. Staudacher, The N = 4 N=4 SYM Integrable Super Spin Chain
2003
Earlier work this paper cites.
L. K. Williams, Enumeration of Totally Positive Grassmann Cells
2003
Earlier work this paper cites.
E. Witten, Perturbative Gauge Theory as a String Theory in Twistor Space
2004
Earlier work this paper cites.
A. Kotikov, L. Lipatov, A. Onishchenko, and V. Velizhanin, Three-Loop Universal Anomalous Dimension of the Wilson Operators in N = 4 N=4 SUSY Yang-Mills Model
2004
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
2005
Earlier work this paper cites.
A. Postnikov, Total Positivity, Grassmannians, and Networks
2006
Earlier work this paper cites.
J. Drummond, J. Henn, V. Smirnov, and E. Sokatchev, Magic Identities for Conformal Four-Point Integrals
2007
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, Gluon Scattering Amplitudes at Strong Coupling
Original
2007
Earlier work this paper cites.
N. Beisert, B. Eden, and M. Staudacher, Transcendentality and Crossing
2007
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, The Amplituhedron
Original
2007
Earlier work this paper cites.
A. Postnikov, D. Speyer, and L. Williams, Matching Polytopes, Toric Geometry, and the Non-negative Part of the Grassmannian
Original
2007
Earlier work this paper cites.
Z. Bern, J. Carrasco, L. J. Dixon, H. Johansson, D. Kosower, and R. Roiban, Three-Loop Superfiniteness of N = 8 N=8 Supergravity
2007
Earlier work this paper cites.