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

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arxiv 2005.06735 v1 pith:SRPTILUN submitted 2020-05-14 hep-th

Simon Caron-Huot , Lance J. Dixon , James M. Drummond , Falko Dulat , Jack Foster , Ömer Gürdoğan , Matt von Hippel , Andrew J. McLeod
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Georgios Papathanasiou
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classification hep-th
keywords amplitudeamplitudesbootstrapclusterloopsnmhvrespectivelyseven-particle
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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.

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Cited by 6 Pith papers

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