Proof of a three-loop relation between the Regge limits of four-point amplitudes in N=4 SYM and N=8 supergravity
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Abstract
A previously proposed all-loop-orders relation between the Regge limits of four-point amplitudes of N=4 supersymmetric Yang-Mills theory and N=8 supergravity is established at the three-loop level. We show that the Regge limit of known expressions for the amplitudes obtained using generalized unitarity simplifies in both cases to a (modified) sum over three-loop ladder and crossed-ladder scalar diagrams. This in turn is consistent with the result obtained using the eikonal representation of the four-point gravity amplitude. A possible exact three-loop relation between four-point amplitudes is also considered.Keywords
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This publication has 48 references indexed in Scilit:
- All-loop-orders relation between Regge limits of $ \mathcal{N} $ = 4 SYM and $ \mathcal{N} $ = 8 supergravity four-point amplitudesJournal of High Energy Physics, 2021
- A tale of two exponentiations in $ \mathcal{N} $ = 8 supergravity at subleading levelJournal of High Energy Physics, 2020
- Four-graviton scattering to three loops in $ \mathcal{N}=8 $ supergravityJournal of High Energy Physics, 2019
- Linear relations between $ \mathcal{N} \geqslant {4} $ supergravity and subleading-color SYM amplitudesJournal of High Energy Physics, 2012
- $ \mathcal{N} \geqslant {4} $ supergravity amplitudes from gauge theory at two loopsJournal of High Energy Physics, 2011
- One-loop SYM-supergravity relation for five-point amplitudesJournal of High Energy Physics, 2011
- Graviton dominance in ultra-high-energy scatteringPhysics Letters B, 1987
- Superstring collisions at planckian energiesPhysics Letters B, 1987
- A relation between tree amplitudes of closed and open stringsNuclear Physics B, 1986
- N = 4 Yang-Mills and N = 8 supergravity as limits of string theoriesNuclear Physics B, 1982