Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N} = 4$ 
Super Yang-Mills and $\mathcal{N} = 8$ Supergravity

Caron-Huot, Simon; Chicherin, Dmitry; Henn, Johannes; Zhang, Yang; Zoia, Simone

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Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N} = 4$ Super Yang-Mills and $\mathcal{N} = 8$ Supergravity

Caron-Huot, S., Chicherin, D., Henn, J., Zhang, Y., & Zoia, S. (2020). Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N} = 4$ Super Yang-Mills and $\mathcal{N} = 8$ Supergravity. Journal of High Energy Physics, 10, 188. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-287.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-1AED-1 Version Permalink: https://hdl.handle.net/21.11116/0000-0008-1AEE-0

Genre: Journal Article

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Caron-Huot, Simon¹, Author
Chicherin, Dmitry¹, Author
Henn, Johannes¹, Author
Zhang, Yang¹, Author
Zoia, Simone¹, Author

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1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650

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Free keywords: Theoretical Physics

Abstract: In previous work, the two-loop five-point amplitudes in $\mathcal{N}=4$ super Yang-Mills theory and $\mathcal{N}=8$ supergravity were computed at symbol level. In this paper, we compute the full functional form. The amplitudes are assembled and simplified using the analytic expressions of the two-loop pentagon integrals in the physical scattering region. We provide the explicit functional expressions, and a numerical reference point in the scattering region. We then calculate the multi-Regge limit of both amplitudes. The result is written in terms of an explicit transcendental function basis. For certain non-planar colour structures of the $\mathcal{N}=4$ super Yang-Mills amplitude, we perform an independent calculation based on the BFKL effective theory. We find perfect agreement. We comment on the analytic properties of the amplitudes.

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Dates: Date issued: 2020

Publication Status: Issued

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Identifiers: Other: MPP-2020-287
URI: https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-287
arXiv: arxiv:2003.03120
URI: https://inspirehep.net/literature?q=find%20eprint%202003.03120

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Title: Journal of High Energy Physics

Abbreviation : JHEP

Source Genre: Journal

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Pages: - Volume / Issue: 10 Sequence Number: - Start / End Page: 188 Identifier: -