| Article | |
| Report number | arXiv:2005.06735 ; DESY-20-087 |
| Title | The Steinmann Cluster Bootstrap for $N$ = 4 Super Yang-Mills Amplitudes |
| Author(s) | Caron-Huot, Simon (McGill U.) ; Dixon, Lance J. (SLAC) ; Drummond, James M. (Southampton U.) ; Dulat, Falko (SLAC) ; Foster, Jack (Southampton U.) ; Gürdoğan, Ömer (Southampton U. ; Oxford U., Inst. Math.) ; von Hippel, Matt (Perimeter Inst. Theor. Phys. ; Bohr Inst.) ; McLeod, Andrew J. (SLAC ; Bohr Inst.) ; Papathanasiou, Georgios (DESY) |
| Publication | SISSA, 2020-05-14 |
| Imprint | 2020-05-14 |
| Number of pages | 37 |
| In: | PoS CORFU2019 (2020) 003 |
| In: | 19th Hellenic School and Workshops on Elementary Particle Physics and Gravity, Corfu, Corfu, Greece, 31 Aug - 25 Sep 2019, pp.003 |
| DOI | 10.22323/1.376.0003 |
| Subject category | hep-th ; Particle Physics - Theory |
| 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. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © The Authors (License: CC-BY-NC-ND-4.0) |
Corresponding record in: Inspire
Record created 2020-11-26, last modified 2021-02-10
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