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2016

Multi-Loop Positivity of the Planar ${\cal N}=4$ SYM Six-Point Amplitude

Dixon, Lance J., von Hippel, Matt, McLeod, Andrew J. et al.

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We study the six-point NMHV ratio function in planar ${\cal N}=4$ SYM theory in the context of positive geometry.

The Amplituhedron construction of the integrand for the amplitudes provides a kinematical region in which the integrand was observed to be positive.
It is natural to conjecture that this property survives integration, i.e.
that the final result for the ratio function is also positive in this region.

Multi-Loop Positivity of the Planar ${\cal N}=4$ SYM Six-Point Amplitude · Around

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O. Steinmann, Helv. Physica Acta 33
1975
Earlier work this paper cites.
L. Brink, J. H. Schwarz and J. Scherk, Nucl. Phys. B 121
1977
Earlier work this paper cites.
K. T. Chen, Bull. Amer. Math. Soc. 83, 831 (1977)
1977
Earlier work this paper cites.
V. P. Nair, Phys. Lett. B 214
1988
Earlier work this paper cites.
E. Remiddi and J. A. M. Vermaseren, Int. J. Mod. Phys. A 15
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Nucl. Phys. B 601
2001
Earlier work this paper cites.
G. Georgiou, E. W. N. Glover and V. V. Khoze, JHEP 0407
2004
Earlier work this paper cites.
Z. Bern, L. J. Dixon and V. A. Smirnov, Phys. Rev. D 72
2005
Earlier work this paper cites.
J. Vollinga and S. Weinzierl, Comput. Phys. Commun. 167
2005
Earlier work this paper cites.
D. Maître Comput. Phys. Commun. 174
2006
Earlier work this paper cites.
N. Arkani-Hamed and J. Trnka, JHEP 1410
Original
2007
Earlier work this paper cites.
N. Beisert, B. Eden and M. Staudacher, J. Stat. Mech. 0701
2007
Earlier work this paper cites.
F. C. S. Brown, Annales scientifiques de l’ENS 42, fascicule 3, 371 (2009) [math/0606419]
2009
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. A. Kosower, R. Roiban, M. Spradlin, C. Vergu and A. Volovich, Phys. Rev. D 78
Original
2009
Earlier work this paper cites.
A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.
J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, Nucl. Phys. B 828
Original
2010
Earlier work this paper cites.

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