A bstract We formulate a new program to generalize the double-copy of tree amplitudes. The
approach exploits the link between the identity element of the “KLT algebra” and the KLT …

A bstract There is a remarkable connection between the boundary structure of the positive
kinematic region and branch points of integrated amplitudes in planar\(\mathcal {N}\)= 4 …

A bstract We initiate the systematic study of local positive spaces which arise in the context
of the Amplituhedron construction for scattering amplitudes in planar maximally …

A bstract In this paper, we present new expressions for n-point NMHV tree-level gravity
amplitudes. We introduce a method of factorization diagrams which is a simple graphical …

A bstract The geometric structure of S-matrix encapsulated by the “Amplituhedron program”
has begun to reveal itself even in non-supersymmetric quantum field theories. Starting with …

In this note, we prove that the realization of associahedron discovered by Arkani-Hamed,
Bai, He, and Yun (ABHY) is a positive geometry for tree-level S-matrix of scalars which have …

In this dissertation, I discuss some novel structures found in the computation of scattering
amplitudes and other boundary correlators. First, I describe the connection between …