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2020

The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes

Caron-Huot, Simon, Dixon, Lance J., Drummond, James M. et al.

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We review the bootstrap method for constructing six- and seven-particle amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory, by exploiting their analytic structure.

We focus on two recently discovered properties which greatly simplify this construction at symbol and function level, respectively: the extended Steinmann relations, or equivalently cluster adjacency, and the coaction principle.
We then demonstrate their power in determining the six-particle amplitude through six and seven loops in the NMHV and MHV sectors respectively, as well as the symbol of the NMHV seven-particle amplitude to four loops.

The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes · Around

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Similar

J. M. Drummond, G. P. Korchemsky and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops , Nucl. Phys. B795 (2008) 385 [ 0707.0243 ]
Original
2008
Cited alongside, same era.
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2008
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A. B. Goncharov, A simple construction of Grassmannian polylogarithms , arXiv e-prints (2009) arXiv:0908.2238 [ 0908.2238 ]
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2009
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Then

L. J. Dixon, J. M. Drummond, C. Duhr and J. Pennington, The four-loop remainder function and multi-Regge behavior at NNLLA in planar N = 4 super-Yang-Mills theory , JHEP 06 (2014) 116 [ 1402.3300 ]
Original
2014
Later among the works it cites.
L. J. Dixon and M. von Hippel, Bootstrapping an NMHV amplitude through three loops , JHEP 10 (2014) 065 [ 1408.1505 ]
Original
2014
Later among the works it cites.
J. Golden, A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Motivic Amplitudes and Cluster Coordinates , JHEP 01 (2014) 091 [ 1305.1617 ]
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2014
Later among the works it cites.
O. Schnetz, Graphical functions and single-valued multiple polylogarithms , Commun. Num. Theor. Phys. 08 (2014) 589 [ 1302.6445 ]
Original
2014
Later among the works it cites.
L. J. Dixon, J. M. Drummond, C. Duhr, M. von Hippel and J. Pennington, Bootstrapping six-gluon scattering in planar N=4 super-Yang-Mills theory , PoS LL2014 (2014) 077 [ 1407.4724 ]

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2015

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2015

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2015

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2016

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2016

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2016

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J. Drummond and G. Papathanasiou, Hexagon OPE Resummation and Multi-Regge Kinematics , JHEP 02 (2016) 185 [ 1507.08982 ]

2016

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H. T. Lam and M. von Hippel, Resumming the POPE at One Loop , JHEP 12 (2016) 011 [ 1608.08116 ]

2016

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2016

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2016

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L. J. Dixon, J. Drummond, T. Harrington, A. J. McLeod, G. Papathanasiou and M. Spradlin, Heptagons from the Steinmann Cluster Bootstrap , JHEP 02 (2017) 137 [ 1612.08976 ]

2017

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2017

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2017

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2017

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2018

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