Scattering amplitudes are both a wonderful playground to discover novel ideas in quantum
field theory and simultaneously of immense phenomenological importance to make …

In a recent paper, we defined generalized color orderings (GCO) and Feynman diagrams
(GFD) to compute color-dressed generalized biadjoint amplitudes. In this work, we study the …

A bstract In the Grassmannian formulation of the S-matrix for planar\(\mathcal {N}\)= 4 Super
Yang-Mills, N k− 2 MHV scattering amplitudes for k negative and n− k positive helicity gluons …

In this paper we study the role of planarity in generalized scattering amplitudes, through
several closely interacting structures in combinatorics, algebraic and tropical geometry. The …

We find a direct map that determines moduli-space integrands for one-loop superstring
amplitudes in terms of field-theory loop integrands in the BCJ form. The latter can be …

We present new results on different aspects of quantum field theory, which are divided into
three main parts. In part I, we find and prove a new behavior of massless tree-level …

Categorification of scattering amplitudes for planar Feynman diagrams in scalar field
theories with a polynomial potential is reported. Amplitudes for cubic theories are directly …

We present new results on different aspects of quantum field theory, which are divided into
three main parts. In part I, we find and prove a new behavior of massless tree-level …