Triangulation of 2-loop MHV amplituhedron from sign flips

Abstract

Abstract In this paper, we consider the triangulation of the 2-loop MHV amplituhedron from “sign flip” definition. Using the isomorphism between the m = 2, k = 2 tree amplituhedron and the 1-loop MHV physical amplituhedron, we found the direct triangulation of the 2-loop MHV amplituhedron from sign flips. This triangulation is different from the BCFW triangulation because of the structure of the cells. And we also found a formula of the canonical form of the n-point 2-loop MHV amplituhedron. This formula looks like a 2-loop version of the Kermit representation of the 1-loop MHV amplitude. We checked that the sum of these cells is consistent with the BCFW up to at least 22-pt numerically.

Keywords

• Scattering Amplitudes
• Supersymmetric Gauge Theory