Four-graviton scattering to three loops in N = 8 $$ \mathcal{N}=8 $$ supergravity
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13130_2019_Article_10484.pdf
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Author(s)
Henn, J. M
Mistlberger, B.
Date Issued
May 3, 2019
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2019 May 03;2019(5):23
Version
Final published version
Abstract
Abstract
We compute the three-loop scattering amplitude of four gravitons in
N
=
8
$$ \mathcal{N}=8 $$
supergravity. Our results are analytic formulae for a Laurent expansion of the amplitude in the regulator of dimensional regularisation. The coefficients of this series are closed formulae in terms of well-established harmonic poly-logarithms. Our results display a remarkable degree of simplicity and represent an important stepping stone in the exploration of the structure of scattering amplitudes. In particular, we observe that to this loop order the four graviton amplitude is given by uniform weight 2L functions, where L is the loop order.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP05(2019)023
