Four-graviton scattering to three loops in N=8 supergravity

A bstract We compute the three-loop scattering amplitude of four gravitons in 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-establishe...

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Bibliographic Details
Published in:The journal of high energy physics 2019-05, Vol.2019 (5), p.1-21
Main Authors: Henn, J. M., Mistlberger, B.
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
Elementary Particles
Gravitons
High energy physics
Logarithms
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Regularization
Relativity Theory
Scattering amplitude
String Theory
Supergravity
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Summary:A bstract We compute the three-loop scattering amplitude of four gravitons in 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 2 L functions, where L is the loop order.
ISSN:1029-8479
DOI:10.1007/JHEP05(2019)023