25 citations · 83 across the 8 of their papers we have counts for
4 papers · 1 filter
Weights, Recursion relations and Projective triangulations for Positive Geometry of scalar theories
Renjan Rajan John, Ryota Kojima, Sujoy Mahato
The story of positive geometry of massless scalar theories was pioneered in [1] in the context of bi-adjoint theories. Further study proposed that the positive geometry for a…
Triangulation-free Trivialization of 2-loop MHV Amplituhedron
Ryota Kojima, Junjie Rao
This article introduces a new approach to implement positivity for the 2-loop n-particle MHV amplituhedron, circumventing the conventional triangulation with respect to positive va…
Weights and recursion relations for tree amplitudes from the positive geometry
Ryota Kojima
Recently, the accordiohedron in kinematic space was proposed as the positive geometry for planar tree-level scattering amplitudes in the theory \cite{Raman:2019utu}. The scat…
Sign Flip Triangulations of the Amplituhedron
Ryota Kojima, Cameron Langer
We present new triangulations of the amplituhedron relevant for scattering amplitudes in planar super-Yang-Mills, obtained directly from the combinatorial def…