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Four-graviton scattering to three loops in \( \mathcal{N}=8 \) supergravity

Journal of High Energy Physics volume 2019, Article number: 23 (2019) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We compute the three-loop scattering amplitude of four gravitons in \( \mathcal{N}=8 \) 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.

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  1. Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805, München, Germany

    J. M. Henn

  2. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, U.S.A.

    B. Mistlberger

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Henn, J.M., Mistlberger, B. Four-graviton scattering to three loops in \( \mathcal{N}=8 \) supergravity. J. High Energ. Phys. 2019, 23 (2019). https://doi.org/10.1007/JHEP05(2019)023

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Keywords

  • Scattering Amplitudes
  • Supersymmetric Gauge Theory