Fetching the paper…
Reading the bibliography…
We introduce a prescriptive approach to generalized unitarity, resulting in a strictly-diagonal basis of loop integrands with coefficients given by specifically-tailored residues in field theory.
Wiley Classics Library. John Wiley & Sons Inc., New York, 1978
P. Griffiths and J. Harris, Principles of Algebraic Geometry · 1978
Earlier work this paper cites.
G. Passarino and M. Veltman, “One Loop Corrections for e + e − e^{+}\,e^{-} Annihilation Into μ + μ − \mu^{+}\,\mu^{-} in the Weinberg Model,” Nucl. Phys
1979
Earlier work this paper cites.
F. Cachazo, “Sharpening The Leading Singularity,” arXiv:0803.1988 [hep-th]
1988
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, L. J. Dixon, and D. A. Kosower, “Progress in One-Loop QCD Computations,” Ann. Rev. Nucl. Part. Sci
1996
Earlier work this paper cites.
D. J. Broadhurst and D. Kreimer, “Association of Multiple Zeta Values with Positive Knots via Feynman Diagrams up to 9 Loops,” Phys. Lett
1997
Earlier work this paper cites.
Z. Bern, J. Rozowsky, and B. Yan, “Two-Loop Four-Gluon Amplitudes in 𝒩 = 4 \mathcal{N}\!=\!4 SuperYang-Mills,” Phys. Lett
1997
Earlier work this paper cites.
G. Lusztig, “Total Positivity in Partial Flag Manifolds,” Represent. Theory
1998
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein, and J. S. Rozowsky, “On the Relationship Between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences,” Nucl. Phys
1998
Earlier work this paper cites.
D. Kreimer, “On the Hopf Algebra Structure of Perturbative Quantum Field Theories,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
E. Witten, “Perturbative Gauge Theory as a String Theory in Twistor Space,” Commun. Math. Phys
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin, and A. Volovich, “A Googly Amplitude from the B Model in Twistor Space,” JHEP
2004
Earlier work this paper cites.
L. K. Williams, “Enumeration of Totally Positive Grassmann Cells,” Adv. Math
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.
F. Cachazo and P. Svrcek, “Lectures on Twistor Strings and Perturbative Yang-Mills Theory,” PoS
2005
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.
Z. Bern, L. J. Dixon, and V. A. Smirnov, “Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond,” Phys. Rev
2005
Earlier work this paper cites.
S. Bloch, H. Esnault, and D. Kreimer, “On Motives Associated to Graph Polynomials,” Commun. Math. Phys
2006
Earlier work this paper cites.
Springer-Verlag, 2006
V. A. Smirnov, Feynman Integral Calculus · 2006
Earlier work this paper cites.
J. Drummond, J. Henn, V. Smirnov, and E. Sokatchev, “Magic Identities for Conformal Four-Point Integrals,” JHEP
2007
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Gluon Scattering Amplitudes at Strong Coupling,” JHEP
2007
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, “The Amplituhedron,” JHEP
2007
Earlier work this paper cites.
C. Anastasiou, R. Britto, B. Feng, Z. Kunszt, and P. Mastrolia, “ D D -Dimensional Unitarity Cut Method,” Phys. Lett
2007
Earlier work this paper cites.
2007
Earlier work this paper cites.
G. Ossola, C. G. Papadopoulos, and R. Pittau, “Reducing Full One-Loop Amplitudes to Scalar Integrals at the Integrand Level,” Nucl. Phys
2007
Earlier work this paper cites.
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
2008
Earlier work this paper cites.
2009
Earlier work this paper cites.
L. Mason and D. Skinner, “Dual Superconformal Invariance, Momentum Twistors and Grassmannians,” JHEP
2009
Earlier work this paper cites.
P. Aluffi and M. Marcolli, “Feynman Motives of Banana Graphs,” Commun. Num. Theor. Phys
2009
Earlier work this paper cites.
2009
Earlier work this paper cites.
2010
Earlier work this paper cites.
2010
Earlier work this paper cites.
2010
Earlier work this paper cites.
N. Arkani-Hamed, F. Cachazo, C. Cheung, and J. Kaplan, “A Duality For The S S -Matrix,” JHEP
2010
Earlier work this paper cites.
2010
Earlier work this paper cites.
2010
Earlier work this paper cites.
2010
Earlier work this paper cites.
S. Weinberg, “Six-Dimensional Methods for Four-Dimensional Conformal Field Theories,” Phys. Rev
2010
Earlier work this paper cites.
2011
Cited alongside, same era.
S. Caron-Huot, “Notes on the Scattering Amplitude / Wilson Loop Duality,” JHEP
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2011
Cited alongside, same era.
S. Franco, D. Galloni, A. Mariotti, and J. Trnka, “Anatomy of the Amplituhedron,” JHEP
2015
Later among the works it cites.
Y. Bai and S. He, “The Amplituhedron from Momentum Twistor Diagrams,” JHEP
2015
Later among the works it cites.
2015
Later among the works it cites.
D. Parker, A. Scherlis, M. Spradlin, and A. Volovich, “Hedgehog Bases for A n
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
2011
Cited alongside, same era.
L. J. Dixon, J. M. Drummond, and J. M. Henn, “Bootstrapping the Three-Loop Hexagon,” JHEP
2011
Cited alongside, same era.
2011
Cited alongside, same era.
J. Gluza, K. Kajda, and D. A. Kosower, “Towards a Basis for Planar Two-Loop Integrals,” Phys. Rev
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
PhD thesis, Humboldt U., Berlin, Inst. Math., 2015
E. Panzer, Feynman Integrals and Hyperlogarithms · 2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
J. M. Henn, “Lectures on Differential Equations for Feynman Integrals,” J. Phys
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
S. Franco, D. Galloni, B. Penante, and C. Wen, “Non-Planar On-Shell Diagrams,” JHEP
2015
Later among the works it cites.
2015
Later among the works it cites.
T. Lam, “Amplituhedron Cells and Stanley Symmetric Functions,” Commun. Math. Phys
2016
Later among the works it cites.
Y. Bai, S. He, and T. Lam, “The Amplituhedron and the One-loop Grassmannian Measure,” JHEP
2016
Later among the works it cites.
L. Ferro, T. Lukowski, A. Orta, and M. Parisi, “Towards the Amplituhedron Volume,” JHEP
2016
Later among the works it cites.
L. J. Dixon, M. von Hippel, and A. J. McLeod, “The Four-Loop Six-Gluon NMHV Ratio Function,” JHEP
2016
Later among the works it cites.
2016
Later among the works it cites.
Y. Geyer, L. Mason, R. Monteiro, and P. Tourkine, “One-Loop Amplitudes on the Riemann Sphere,” JHEP
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
H. Ita, “Two-Loop Integrand Decomposition into Master Integrals and Surface Terms,” Phys. Rev
2016
Later among the works it cites.
Z. Bern, S. Davies, and J. Nohle, “Double-Copy Constructions and Unitarity Cuts,” Phys. Rev
2016
Later among the works it cites.
R. Frassek and D. Meidinger, “Yangian-Type Symmetries of Non-Planar Leading Singularities,” JHEP
2016
Later among the works it cites.
E. Herrmann and J. Trnka, “Gravity On-shell Diagrams,” JHEP
2016
Later among the works it cites.
Cambridge University Press, 2016
N. Arkani-Hamed, J. L. Bourjaily, F. Cachazo, A. B. Goncharov, A. Postnikov, and J. Trnka, Grassmannian Geometry of Scattering Amplitudes · 2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.