The paper derives a closed all-orders formula for the leading high-energy part of the N=8 supergravity remainder function, confirming the recent three-loop calculation and predicting new terms at four loops and beyond.
Four-graviton scattering to three loops in ${\mathcal N}=8$ supergravity
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
hep-th 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
A tale of two exponentiations in ${\cal N}=8$ supergravity
The paper derives a closed all-orders formula for the leading high-energy part of the N=8 supergravity remainder function, confirming the recent three-loop calculation and predicting new terms at four loops and beyond.