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arXiv · 2403.10594

Hidden Amplitude Zeros From Double Copy

Christoph Bartsch·Taro V. Brown·Karol Kampf·Umut Oktem·Shruti Paranjape·Jaroslav Trnka
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Abstract

Recently, Arkani-Hamed et al. proposed the existence of zeros in scattering amplitudes in certain quantum field theories including the cubic adjoint scalar theory Tr($ϕ^3$), the $SU(N)$ non-linear sigma model (NLSM) and Yang-Mills (YM) theory. These hidden zeros are special kinematic points where the amplitude vanishes and factorizes into a product of lower-point amplitudes, similar to factorization near poles. In this letter, we show a close connection between the existence of such zeros and color-kinematics duality. In fact, all zeros can be derived from the Bern-Carrasco-Johansson (BCJ) relations. We also show that these zeros extend via the Kawai-Lewellen-Tye (KLT) relations to special Galileon amplitudes and their corrections, evincing that these hidden zeros are also present in permutation-invariant amplitudes.

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Christoph Bartsch, Taro V. Brown, Karol Kampf, Umut Oktem, Shruti Paranjape, Jaroslav Trnka. 2024-03-15. Hidden Amplitude Zeros From Double Copy. https://arxiv.org/abs/2403.10594

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