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• W2912348714 abstract "A bstract We compute the symbol of the two-loop five-point amplitude in $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 8 supergravity. We write an ansatz for the amplitude whose rational prefactors are based on not only 4-dimensional leading singularities, but also d -dimensional ones, as the former are insufficient. Our novel d -dimensional unitarity-based approach to the systematic construction of an amplitude’s rational structures is likely to have broader applications, for example to analogous QCD calculations. We fix parameters in the ansatz by performing numerical integration-by-parts reduction of the known integrand. We find that the two-loop five-point $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 8 supergravity amplitude is uniformly transcendental. We then verify the soft and collinear limits of the amplitude. There is considerable similarity with the corresponding amplitude for $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 4 super-Yang-Mills theory: all the rational prefactors are double copies of the Yang-Mills ones and the transcendental functions overlap to a large degree. As a byproduct, we find new relations between color-ordered loop amplitudes in $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 4 super-Yang-Mills theory." @default.
• W2912348714 created "2019-02-21" @default.
• W2912348714 creator A5002832104 @default.
• W2912348714 creator A5010467826 @default.
• W2912348714 creator A5013701032 @default.
• W2912348714 creator A5038214539 @default.
• W2912348714 creator A5064334015 @default.
• W2912348714 date "2019-03-01" @default.
• W2912348714 modified "2023-10-13" @default.
• W2912348714 title "The two-loop five-point amplitude in $$ mathcal{N} $$ = 8 supergravity" @default.
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