Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

A Novel On-Shell Recursive Relation

Humberto Gomez

Abstract

We present a novel framework for deriving on-shell recursion relations, with a specific focus on biadjoint and pure Yang-Mills theories. Starting from the double-cover CHY factorization formulae, we identify a suitable set of independent kinematic variables that enables the reconstruction of amputated currents from amplitudes. As a byproduct, this new recursive structure recasts the BCJ numerators into an explicitly on-shell factorized form.

A Novel On-Shell Recursive Relation

Abstract

We present a novel framework for deriving on-shell recursion relations, with a specific focus on biadjoint and pure Yang-Mills theories. Starting from the double-cover CHY factorization formulae, we identify a suitable set of independent kinematic variables that enables the reconstruction of amputated currents from amplitudes. As a byproduct, this new recursive structure recasts the BCJ numerators into an explicitly on-shell factorized form.

Paper Structure

This paper contains 9 sections, 85 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Recursion for BAS from the DC formulation
  3. New On-Shell recursion for BAS
  4. Pure Gluons
  5. On-shell Relation at lower Points
  6. New On-Shell Recursive Relation
  7. Factorizing BCJ numerators
  8. Five-Point BCJ numerators
  9. Conclusions

Figures (1)

  • Figure 1: All factorization contributions for the four-, five-, six-, seven-, and eight-point. The white vertices indicate the remaining integrations over the $\sigma_i$ coordinates, taken around the corresponding scattering equations $S_i = 0$.