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Pré-Publication, Document De Travail Année : 2024

Parity-Odd Power Spectra: Concise Statistics for Cosmological Parity Violation

Drew Jamieson
  • Fonction : Auteur
Jiamin Hou
  • Fonction : Auteur
Zachary Slepian
  • Fonction : Auteur
Eiichiro Komatsu
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-04635826 , version 1 (04-07-2024)

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Citer

Drew Jamieson, Angelo Caravano, Jiamin Hou, Zachary Slepian, Eiichiro Komatsu. Parity-Odd Power Spectra: Concise Statistics for Cosmological Parity Violation. 2024. ⟨hal-04635826⟩
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