Hidden Amplitude Zeros From Double Copy
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929278988320768 |
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| author | Bartsch, Christoph Brown, Taro V. Kampf, Karol Oktem, Umut Paranjape, Shruti Trnka, Jaroslav |
| author_facet | Bartsch, Christoph Brown, Taro V. Kampf, Karol Oktem, Umut Paranjape, Shruti Trnka, Jaroslav |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_10594 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hidden Amplitude Zeros From Double Copy Bartsch, Christoph Brown, Taro V. Kampf, Karol Oktem, Umut Paranjape, Shruti Trnka, Jaroslav High Energy Physics - Theory 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. |
| title | Hidden Amplitude Zeros From Double Copy |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.10594 |