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We present a method for building physical projector operators for multi-leg helicity amplitudes.
1901
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1901
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1904
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L. Chen, A prescription for projectors to compute helicity amplitudes in D dimensions
1904
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1905
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1905
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G. ’t Hooft and M. J. G. Veltman, Regularization and Renormalization of Gauge Fields
1972
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F. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions
1981
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K. Chetyrkin and F. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops
1981
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M. L. Mangano, S. J. Parke, and Z. Xu, Duality and Multi - Gluon Scattering
1988
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F. A. Berends and W. T. Giele, Recursive Calculations for Processes with n Gluons
1988
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A. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation
1991
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Z. Bern, L. J. Dixon, and D. A. Kosower, One loop corrections to five gluon amplitudes
1993
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P. Nogueira, Automatic Feynman graph generation
1993
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Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits
1994
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Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes
1995
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E. Remiddi, Differential equations for Feynman graph amplitudes
1997
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S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations
2000
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T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions
2000
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Z. Bern, A. De Freitas, L. J. Dixon, and H. L. Wong, Supersymmetric regularization, two loop QCD amplitudes and coupling shifts
2002
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R. Britto, F. Cachazo, and B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills
H. Ita, Two-loop Integrand Decomposition into Master Integrals and Surface Terms
2016
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2016
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T. Peraro, Scattering amplitudes over finite fields and multivariate functional reconstruction
2016
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S. Badger, Automating QCD amplitudes with on-shell methods
2016
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2005
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G. Ossola, C. G. Papadopoulos, and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level
2007
Cited alongside, same era.
W. T. Giele, Z. Kunszt, and K. Melnikov, Full one-loop amplitudes from tree amplitudes
2008
Cited alongside, same era.
2008
Cited alongside, same era.
P. Mastrolia and G. Ossola, On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes
2011
Cited alongside, same era.
Y. Zhang, Integrand-Level Reduction of Loop Amplitudes by Computational Algebraic Geometry Methods
2012
Cited alongside, same era.
2012
Cited alongside, same era.
2017
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H. Frellesvig and C. G. Papadopoulos, Cuts of Feynman Integrals in Baikov representation
2017
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J. Bosma, M. Sogaard, and Y. Zhang, Maximal Cuts in Arbitrary Dimension
2017
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2017
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2018
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S. Badger, H. Frellesvig, and Y. Zhang, Hepta-Cuts of Two-Loop Scattering Amplitudes
2019
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2019
Closest in time.
2019
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2019
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P. Mastrolia and S. Mizera, Feynman Integrals and Intersection Theory
2019
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