Transmuting CHY formulae

Livia Ferro, Max Bollmann

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11 Citations (Scopus)
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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 YangMills, 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. We also commence the study of the CHY-like formulae at loop level.
Original languageEnglish
Article number180
Pages (from-to)1-22
JournalJournal of High Energy Physics (JHEP)
Issue number1
Early online date23 Jan 2019
Publication statusPublished - Jan 2019


  • Field Theories in Higher Dimensions
  • Scattering Amplitudes


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