Scalar parity-odd trispectrum from gravitational Chern-Simons interaction vertices
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| Format: | Preprint |
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2025
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| _version_ | 1866918276083220480 |
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| author | Orlando, Giorgio Akama, Shingo Lin, Chunshan |
| author_facet | Orlando, Giorgio Akama, Shingo Lin, Chunshan |
| contents | In this paper, we explore parity violation in a scalar trispectrum from a dynamical Chern-Simons gravity theory. So far, a graviton-mediated diagram with two vertexes being of general relativity has been studied in this theory by taking into account the impact of a modified dispersion relation of gravitons on graviton's bulk propagators. We instead study a parity-odd trispectrum from both a graviton-mediated diagram, where one of the two vertexes originates from the Chern-Simons term, and a contact diagram by using the bulk propagators in general relativity. After computing the scalar-scalar-tensor cubic interactions and the scalar quartic ones originating from the Chern-Simons term, first we show that the resultant parity-odd trispectrum vanishes in the case of Bunch-Davies initial conditions, which is consistent with a no-go theorem for a non-vanishing parity-odd trispectrum. Then, we discuss a way to acquire a non-vanishing parity-odd trispectrum from the viewpoint of non-Bunch-Davies initial conditions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_16920 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scalar parity-odd trispectrum from gravitational Chern-Simons interaction vertices Orlando, Giorgio Akama, Shingo Lin, Chunshan High Energy Physics - Theory Cosmology and Nongalactic Astrophysics In this paper, we explore parity violation in a scalar trispectrum from a dynamical Chern-Simons gravity theory. So far, a graviton-mediated diagram with two vertexes being of general relativity has been studied in this theory by taking into account the impact of a modified dispersion relation of gravitons on graviton's bulk propagators. We instead study a parity-odd trispectrum from both a graviton-mediated diagram, where one of the two vertexes originates from the Chern-Simons term, and a contact diagram by using the bulk propagators in general relativity. After computing the scalar-scalar-tensor cubic interactions and the scalar quartic ones originating from the Chern-Simons term, first we show that the resultant parity-odd trispectrum vanishes in the case of Bunch-Davies initial conditions, which is consistent with a no-go theorem for a non-vanishing parity-odd trispectrum. Then, we discuss a way to acquire a non-vanishing parity-odd trispectrum from the viewpoint of non-Bunch-Davies initial conditions. |
| title | Scalar parity-odd trispectrum from gravitational Chern-Simons interaction vertices |
| topic | High Energy Physics - Theory Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2505.16920 |