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arXiv · 2403.12939

Hidden Zeros in Exceptional Field Theories from Double Copy

Yang Li·Diederik Roest·Tonnis ter Veldhuis
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Abstract

It was recently discovered by Arkani-Hamed et al and Cao et al that the colour-ordered scattering amplitudes of Tr$(\Phi^3)$, the non-linear sigma model and Yang-Mills-scalar vanish at specific loci. We build on this observation and demonstrate that, beyond colour ordering, scattering amplitudes can display higher-order hidden zeros. A first example are the flavour-paired amplitudes of gravity-coupled scalars, as a double copy of Yang-Mills-scalar. The other two cases are Dirac-Born-Infeld and the special Galileon, which are the natural generalisations of the non-linear sigma model with higher orders of the Adler zero. We demonstrate that the amplitudes of these theories all factorize into lower-point objects in the near-zero limit, and discuss their interpretation. Finally, we comment on the general picture of hidden zeros and prove their relation under the double copy.

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Yang Li, Diederik Roest, Tonnis ter Veldhuis. 2024-03-19. Hidden Zeros in Exceptional Field Theories from Double Copy. https://arxiv.org/abs/2403.12939

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