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Tree and 1-loop fundamental BCJ relations from soft theorems

We provide a new derivation of the fundamental BCJ relation among double-color-ordered tree amplitudes of bi-adjoint scalar theory, based on the leading soft theorem for external scalars. Then, we generalize the fundamental BCJ relation to 1-loop Feynman integrands. We also use the fundamental BCJ r...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2023-07, Vol.83 (7), p.616-12, Article 616
Main Authors: Wei, Fang-Stars, Zhou, Kang
Format: Article
Language:English
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Summary:We provide a new derivation of the fundamental BCJ relation among double-color-ordered tree amplitudes of bi-adjoint scalar theory, based on the leading soft theorem for external scalars. Then, we generalize the fundamental BCJ relation to 1-loop Feynman integrands. We also use the fundamental BCJ relation to understand Adler’s zero for tree amplitudes of the nonlinear sigma model and Born–Infeld theory.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-023-11698-2