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We extend the maximal unitarity method to amplitude contributions whose cuts define multidimensional algebraic varieties.
R. Hartshorne, Algebraic geometry
1977
Earlier work this paper cites.
P. Griffiths, J. Harris, Principles of Algebraic geometry
1978
Earlier work this paper cites.
F. Cachazo, Sharpening The Leading Singularity,
1988
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar and D. A. Kosower, One loop 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 and A. G. Morgan, Massive loop amplitudes from unitarity,
1996
Earlier work this paper cites.
Z. Bern, J. S. Rozowsky and B. Yan, Two loop four gluon amplitudes in N=4 superYang-Mills,
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon and D. A. Kosower, One loop amplitudes for e+ e- to four partons,
1998
Earlier work this paper cites.
V. A. Smirnov, Analytical result for dimensionally regularized massless on shell double box,
1999
Earlier work this paper cites.
J. B. Tausk, Nonplanar massless two loop Feynman diagrams with four on-shell legs,
1999
Earlier work this paper cites.
Z. Bern, L. J. Dixon and D. A. Kosower, A Two loop four gluon helicity amplitude in QCD,
2000
Earlier work this paper cites.
V. A. Smirnov and O. L. Veretin, Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators,
2000
Earlier work this paper cites.
C. Anastasiou, T. Gehrmann, C. Oleari, E. Remiddi and J. B. Tausk, The Tensor reduction and master integrals of the two loop massless crossed box with lightlike legs,
2000
Earlier work this paper cites.
E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two loop QCD corrections to gluon-gluon scattering,
2001
Earlier work this paper cites.
C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two-loop QCD corrections to the scattering of massless distinct quarks,
2001
Earlier work this paper cites.
C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two loop QCD corrections to massless identical quark scattering,
2001
Earlier work this paper cites.
C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two loop QCD corrections to massless quark gluon scattering,
2001
Earlier work this paper cites.
Z. Bern, A. De Freitas and L. J. Dixon, Two loop helicity amplitudes for gluon-gluon scattering in QCD and supersymmetric Yang-Mills theory,
2002
Earlier work this paper cites.
V. A. Smirnov, Analytical result for dimensionally regularized massless on shell planar triple box,
2003
Earlier work this paper cites.
R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons,
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,
2005
Earlier work this paper cites.
R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills,
2005
Earlier work this paper cites.
R. Britto, F. Cachazo and B. Feng, Computing one-loop amplitudes from the holomorphic anomaly of unitarity cuts,
2005
Earlier work this paper cites.
Z. Bern, N. E. J. Bjerrum-Bohr, D. C. Dunbar and H. Ita, Recursive calculation of one-loop QCD integral coefficients,
2005
Earlier work this paper cites.
S. J. Bidder, N. E. J. Bjerrum-Bohr, D. C. Dunbar and W. B. Perkins, One-loop gluon scattering amplitudes in theories with N ¡ 4 supersymmetries,
2005
Earlier work this paper cites.
R. Britto, E. Buchbinder, F. Cachazo and B. Feng, One-loop amplitudes of gluons in SQCD,
2005
Cited alongside, same era.
A. Brandhuber, S. McNamara, B. J. Spence and G. Travaglini, Loop amplitudes in pure Yang-Mills from generalised unitarity,
2005
Cited alongside, same era.
E. I. Buchbinder and F. Cachazo, Two-loop amplitudes of gluons and octa-cuts in N=4 super Yang-Mills,
2005
Cited alongside, same era.
Z. Bern, L. J. Dixon and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond,
2005
Cited alongside, same era.
R. Britto, B. Feng and P. Mastrolia, The Cut-constructible part of QCD amplitudes,
2006
Cited alongside, same era.
P. Mastrolia, On Triple-cut of scattering amplitudes,
N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, A Duality For The S Matrix,
2010
Later among the works it cites.
2010
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
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2007
Cited alongside, same era.
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.
C. Anastasiou, R. Britto, B. Feng, Z. Kunszt and P. Mastrolia, Unitarity cuts and Reduction to master integrals in d dimensions for one-loop amplitudes,
2007
Cited alongside, same era.
Z. Bern, L. J. Dixon and D. A. Kosower, On-Shell Methods in Perturbative QCD,
2007
Cited alongside, same era.
D. Forde, Direct extraction of one-loop integral coefficients,
2007
Cited alongside, same era.
R. Britto and B. Feng, Unitarity cuts with massive propagators and algebraic expressions for coefficients,
2007
Cited alongside, same era.
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2007
Cited alongside, same era.
2011
Later among the works it cites.
2011
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J. Gluza, K. Kajda and D. A. Kosower, Towards a Basis for Planar Two-Loop Integrals,
2011
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P. Mastrolia and G. Ossola, On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes,
2011
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M. Sogaard, Supersums for all supersymmetric amplitudes,
2011
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2012
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D. A. Kosower and K. J. Larsen, Maximal Unitarity at Two Loops,
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K. J. Larsen, Global Poles of the Two-Loop Six-Point N=4 SYM integrand,
2012
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S. Caron-Huot and K. J. Larsen, Uniqueness of two-loop master contours,
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2012
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2012
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