Parity-odd power spectra: concise statistics for cosmological parity violation

Jamieson, Drew; Caravano, Angelo; Hou, Jiamin; Slepian, Zachary; Komatsu, Eiichiro

doi:10.1093/mnras/stae1924

Parity-odd power spectra: concise statistics for cosmological parity violation

Drew Jamieson
(
- Garching, Max Planck Inst.
)
,
Angelo Caravano
(
- Paris, Inst. Astrophys.
)
,
Jiamin Hou
(
- Florida U. and
- Garching, Max Planck Inst., MPE
)
,
Zachary Slepian
(
- Florida U.
)
,
Eiichiro Komatsu
(
)

Jun 21, 2024

18 pages

Published in:

Mon.Not.Roy.Astron.Soc. 533 (2024) 3, 2582-2598

Published: Aug 29, 2024

e-Print:

2406.15683 [astro-ph.CO]

DOI:

10.1093/mnras/stae1924

View in:

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Abstract: (Oxford University Press)

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.

Note:

18 pages, 5 figures

methods: analytical
methods: data analysis
methods: statistical
inflation
large-scale structure of Universe

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