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

  • J. M. Henn
  • B. MistlbergerEmail author
Open Access
Regular Article - Theoretical Physics
  • 28 Downloads

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.

Keywords

Scattering Amplitudes Supersymmetric Gauge Theory 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Supplementary material

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© The Author(s) 2019

Authors and Affiliations

  1. 1.Max-Planck-Institut für Physik, Werner-Heisenberg-InstitutMünchenGermany
  2. 2.Center for Theoretical PhysicsMassachusetts Institute of TechnologyCambridgeU.S.A.

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