Transmuting CHY formulae

Understand

The various formulations of scattering amplitudes presented in recent years have underlined a hidden unity among very different theories.

• The KLT and BCJ relations, together with the CHY formulation, connect the S-matrices of a wide range of theories: the transmutation operators, recently proposed by Cheung, Shen and Wen, provide an account for these similarities.
• In this note we use the transmutation operators to link the various CHY integrands at tree-level.
• Starting from gravity, we generate the integrands for Yang-Mills, biadjoint scalar, Einstein-Maxwell, Yang-Mills scalar, Born-Infeld, Dirac-Born-Infeld, non-linear sigma model and special Galileon theories, as well as for their extensions.