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

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

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, respecti...

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Hauptverfasser: Caron-Huot, Simon, Dixon, Lance J, Drummond, James M, Dulat, Falko, Foster, Jack, Gürdoğan, Ömer, von Hippel, Matt, McLeod, Andrew J, Papathanasiou, Georgios
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creator Caron-Huot, Simon
Dixon, Lance J
Drummond, James M
Dulat, Falko
Foster, Jack
Gürdoğan, Ömer
von Hippel, Matt
McLeod, Andrew J
Papathanasiou, Georgios
description 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.
doi_str_mv 10.48550/arxiv.2005.06735
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title The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
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