Parity-odd power spectra: concise statistics for cosmological parity violation
ABSTRACT 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 non-linear 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.
Authors
- Jiamin Hou (ORCID: https://orcid.org/0000-0001-6083-1947)
- Eiichiro Komatsu (ORCID: https://orcid.org/0000-0002-0136-2404)
- Angelo Caravano (ORCID: https://orcid.org/0000-0002-2730-320X)
- Zachary Slepian (ORCID: https://orcid.org/0000-0002-1208-119X)
- Drew Jamieson (ORCID: https://orcid.org/0000-0001-5044-7204)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Kavli Institute for the Physics and Mathematics of the Universe (JP)
- Institut d'Astrophysique de Paris (FR)
- University of Florida (US)
- Sorbonne Université (FR)
- Max Planck Institute for Extraterrestrial Physics (DE)
- Max Planck Institute for Astrophysics (DE)
- The University of Tokyo (JP)
- Ludwig-Maximilians-Universität München (DE)
Publication Details
- Journal
- Monthly Notices of the Royal Astronomical Society
- Published
- 2024-08-08
- DOI
- https://doi.org/10.1093/mnras/stae1924
- Citations
- 15
- Primary Topic
- Cosmology and Gravitation Theories
- Type
- article
- Field-Weighted Citation Impact
- 4.97
Funders
- European Commission
- Deutsche Forschungsgemeinschaft
- Ministry of Education, Culture, Sports, Science and Technology
- Pasteur Institute of Iran
- Max-Planck-Institut für Astrophysik
- Horizon 2020 Framework Programme