Multi-Regge limit of the two-loop five-point amplitudes in N $$ mathcal{N} $$ = 4 super Yang-Mills and N $$ mathcal{N} $$ = 8 supergravity

Multi-Regge limit of the two-loop five-point amplitudes in N $$ mathcal{N} $$ = 4 super Yang-Mills and N $$ mathcal{N} $$ = 8 supergravity

Blog Article

Abstract In previous Posts work, the two-loop five-point amplitudes in N $$ mathcal{N} $$ = 4 super Yang-Mills theory and N $$ mathcal{N} $$ = 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 Reclining Sofa 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 N $$ mathcal{N} $$ = 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.