Parity-Odd Power Spectra: Concise Statistics for Cosmological Parity Violation
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929419276255232 |
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| author | Jamieson, Drew Caravano, Angelo Hou, Jiamin Slepian, Zachary Komatsu, Eiichiro |
| author_facet | Jamieson, Drew Caravano, Angelo Hou, Jiamin Slepian, Zachary Komatsu, Eiichiro |
| contents | We introduce the Parity-Odd Power (POP) spectra, a novel set of observables for probing parity violation in cosmological $N$-point statistics. POP spectra are derived from composite fields obtained by applying nonlinear transformations, involving also gradients, curls, and filtering functions, to a scalar field. This compresses the parity-odd trispectrum into a power spectrum. These new statistics offer several advantages: they are computationally fast to construct, estimating their covariance is less demanding compared to estimating that of the full parity-odd trispectrum, and they are simple to model theoretically. We measure the POP spectra on simulations of a scalar field with a specific parity-odd trispectrum shape. We compare these measurements to semi-analytic theoretical calculations and find agreement. We also explore extensions and generalizations of these parity-odd observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15683 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Parity-Odd Power Spectra: Concise Statistics for Cosmological Parity Violation Jamieson, Drew Caravano, Angelo Hou, Jiamin Slepian, Zachary Komatsu, Eiichiro Cosmology and Nongalactic Astrophysics Instrumentation and Methods for Astrophysics We introduce the Parity-Odd Power (POP) spectra, a novel set of observables for probing parity violation in cosmological $N$-point statistics. POP spectra are derived from composite fields obtained by applying nonlinear transformations, involving also gradients, curls, and filtering functions, to a scalar field. This compresses the parity-odd trispectrum into a power spectrum. These new statistics offer several advantages: they are computationally fast to construct, estimating their covariance is less demanding compared to estimating that of the full parity-odd trispectrum, and they are simple to model theoretically. We measure the POP spectra on simulations of a scalar field with a specific parity-odd trispectrum shape. We compare these measurements to semi-analytic theoretical calculations and find agreement. We also explore extensions and generalizations of these parity-odd observables. |
| title | Parity-Odd Power Spectra: Concise Statistics for Cosmological Parity Violation |
| topic | Cosmology and Nongalactic Astrophysics Instrumentation and Methods for Astrophysics |
| url | https://arxiv.org/abs/2406.15683 |