1. Parity-odd power spectra: concise statistics for cosmological parity violation.
- Author
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Jamieson, Drew, Caravano, Angelo, Hou, Jiamin, Slepian, Zachary, and Komatsu, Eiichiro
- Subjects
- *
LARGE scale structure (Astronomy) , *POWER spectra , *DATA analysis , *STATISTICS , *GENERALIZATION - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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