Built on

J. L. Bourjaily, E. Herrmann, C. Langer, A. J. McLeod, and J. Trnka, “Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops,” JHEP
Original
1909
Earlier work this paper cites.
J. L. Bourjaily, A. J. McLeod, C. Vergu, M. Volk, M. Von Hippel, and M. Wilhelm, “Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space,” JHEP
Original
1910
Earlier work this paper cites.
J. L. Bourjaily, E. Herrmann, C. Langer, A. J. McLeod, and J. Trnka, “All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops,” Phys. Rev. Lett
Original
1911
Earlier work this paper cites.
Cambridge University Press, 1966
R. J. Eden, P. V. Landshoff, D. I. Olive, and J. C. Polkinghorne, The Analytic S-Matrix · 1966
Earlier work this paper cites.
F. Cachazo, “Sharpening The Leading Singularity,” arXiv:0803.1988 [hep-th]
Original
1988
Earlier work this paper cites.
D. J. Broadhurst, J. Fleischer, and O. V. Tarasov, “Two Loop Two-Point Functions with Masses: Asymptotic Expansions and Taylor Series, in Any Dimension,” Z. Phys
1993
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,” Nucl. Phys
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,” Nucl. Phys
1995
Earlier work this paper cites.
Z. Bern and A. G. Morgan, “Massive Loop Amplitudes from Unitarity,” Nucl. Phys
1996
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “Generalized Unitarity and One-Loop Amplitudes in 𝒩 = 4 \mathcal{N}\!=\!4 Super-Yang-Mills,” Nucl. Phys
2005
Earlier work this paper cites.
E. I. Buchbinder and F. Cachazo, “Two-Loop Amplitudes of Gluons and Octa-Cuts in 𝒩 = 4 \mathcal{N}\!=\!4 super Yang-Mills,” JHEP
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “New Recursion Relations for Tree Amplitudes of Gluons,” Nucl. Phys
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
2005
Earlier work this paper cites.
L. K. Williams, “Enumeration of Totally Positive Grassmann Cells,” Adv. Math
2005
Earlier work this paper cites.
Z. Bern, M. Czakon, L. J. Dixon, D. A. Kosower, and V. A. Smirnov, “The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory,” Phys. Rev
2007
Earlier work this paper cites.
Z. Bern, J. Carrasco, H. Johansson, and D. Kosower, “Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops,” Phys. Rev
Original
2007
Earlier work this paper cites.
J. L. Bourjaily, E. Herrmann, C. Langer, and J. Trnka, “Building Bases of Loop Integrands,” JHEP
Original
2007
Earlier work this paper cites.

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Then

N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, and J. Trnka, “Local Integrals for Planar Scattering Amplitudes,” JHEP
Original
2012
Later among the works it cites.
S. Caron-Huot and K. J. Larsen, “Uniqueness of Two-Loop Master Contours,” JHEP
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2012
Later among the works it cites.
A. Hodges, “Eliminating Spurious Poles from Gauge-Theoretic Amplitudes,” JHEP
Original
2013
Later among the works it cites.
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, and J. Trnka, “Singularity Structure of Maximally Supersymmetric Scattering Amplitudes,” Phys. Rev. Lett
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Later among the works it cites.
J. L. Bourjaily, S. Caron-Huot, and J. Trnka, “Dual-Conformal Regularization of Infrared Loop Divergences and the Chiral

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2020

An Elliptic Yangian-Invariant, `Leading Singularity'

Bourjaily, Jacob L., Kalyanapuram, Nikhil, Langer, Cameron et al.

Understand

We derive closed formulae for the first examples of non-algebraic, elliptic `leading singularities' in planar, maximally supersymmetric Yang-Mills theory and show that they are Yangian-invariant.

Built on

J. L. Bourjaily, E. Herrmann, C. Langer, A. J. McLeod, and J. Trnka, “Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops,” JHEP
Original
1909
Earlier work this paper cites.
J. L. Bourjaily, A. J. McLeod, C. Vergu, M. Volk, M. Von Hippel, and M. Wilhelm, “Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space,” JHEP
Original
1910
Earlier work this paper cites.
J. L. Bourjaily, E. Herrmann, C. Langer, A. J. McLeod, and J. Trnka, “All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops,” Phys. Rev. Lett
Original
1911
Earlier work this paper cites.
Cambridge University Press, 1966
R. J. Eden, P. V. Landshoff, D. I. Olive, and J. C. Polkinghorne, The Analytic S-Matrix · 1966
Earlier work this paper cites.
F. Cachazo, “Sharpening The Leading Singularity,” arXiv:0803.1988 [hep-th]
Original
1988
Earlier work this paper cites.
D. J. Broadhurst, J. Fleischer, and O. V. Tarasov, “Two Loop Two-Point Functions with Masses: Asymptotic Expansions and Taylor Series, in Any Dimension,” Z. Phys
1993
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,” Nucl. Phys
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,” Nucl. Phys
1995
Earlier work this paper cites.
Z. Bern and A. G. Morgan, “Massive Loop Amplitudes from Unitarity,” Nucl. Phys
1996
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “Generalized Unitarity and One-Loop Amplitudes in 𝒩 = 4 \mathcal{N}\!=\!4 Super-Yang-Mills,” Nucl. Phys
2005
Earlier work this paper cites.
E. I. Buchbinder and F. Cachazo, “Two-Loop Amplitudes of Gluons and Octa-Cuts in 𝒩 = 4 \mathcal{N}\!=\!4 super Yang-Mills,” JHEP
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, “New Recursion Relations for Tree Amplitudes of Gluons,” Nucl. Phys
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
2005
Earlier work this paper cites.
L. K. Williams, “Enumeration of Totally Positive Grassmann Cells,” Adv. Math
2005
Earlier work this paper cites.
Z. Bern, M. Czakon, L. J. Dixon, D. A. Kosower, and V. A. Smirnov, “The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory,” Phys. Rev
2007
Earlier work this paper cites.
Z. Bern, J. Carrasco, H. Johansson, and D. Kosower, “Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops,” Phys. Rev
Original
2007
Earlier work this paper cites.
J. L. Bourjaily, E. Herrmann, C. Langer, and J. Trnka, “Building Bases of Loop Integrands,” JHEP
Original
2007
Earlier work this paper cites.