Abstract
Abstract
In previous work, the two-loop five-point amplitudes in $$ \mathcal{N} $$
N
= 4 super Yang-Mills theory and $$ \mathcal{N} $$
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 $$ \mathcal{N} $$
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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