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Triangulation of 2-loop MHV amplituhedron from sign flips

  • Ryota KojimaEmail author
Open Access
Regular Article - Theoretical Physics
  • 42 Downloads

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 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Department of Particle and Nuclear PhysicsSOKENDAI (The Graduate University for Advanced Studies)TsukubaJapan
  2. 2.KEK Theory CenterTsukubaJapan

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