https://doi.org/10.1140/epjc/s10052-025-14334-3
Regular Article - Theoretical Physics
Note on hidden zeros and expansions of tree-level amplitudes
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, China
Received:
24
March
2025
Accepted:
18
May
2025
Published online:
23
June
2025
In this note, we derive and interpret hidden zeros of tree-level amplitudes of various theories, including Yang–Mills, non-linear sigma model, special Galileon, Dirac–Born–Infeld, and gravity, by utilizing universal expansions of tree-level amplitudes which expand amplitudes of different theories to those of bi-adjoint scalar theory. Hidden zeros of above amplitudes are attributed to zeros of bi-adjoint scalar amplitudes which can be easily proved. For unordered amplitudes such as gravitational ones, the kinematic condition for zeros causes potential divergences of propagators. We also show the detailed mechanism of eliminating such divergences.
© The Author(s) 2025
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