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

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arxiv 2406.15683 v2 pith:GZIWKFXN submitted 2024-06-21 astro-ph.CO astro-ph.IM

classification astro-ph.COastro-ph.IM
keywords parity-oddspectrapowerstatisticstrispectrumcosmologicalestimatingfield
verification ladder T0 review T1 audit T2 compute T3 formal
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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 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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Testing parity with composite-field spectra of BOSS and DESI luminous red galaxies

    astro-ph.CO 2026-04 accept novelty 7.0 of 10

    No evidence for cosmological parity violation is found in the first kurto-spectrum analysis of BOSS DR12 and DESI DR1 luminous red galaxies.

  2. Probing Parity Violation with Weak Lensing Trispectrum

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    A parity-odd weak lensing convergence trispectrum is derived and forecast to be detectable with DES Y3/LSST Y10-like surveys under optimistic template amplitudes.

  3. Parity-odd Four-Point Correlation Function from DESI Data Release 1 Luminous Red Galaxy Sample

    astro-ph.CO 2025-12 accept novelty 6.0 of 10

    The parity-odd four-point correlation function measured in DESI DR1 LRGs is consistent with zero after correcting for survey-induced covariance mismatches.

  4. Parity Violation in Galaxy Shapes: Primordial Non-Gaussianity

    astro-ph.CO 2025-09 conditional novelty 6.0 of 10

    The parity-odd intrinsic alignment power spectrum probes the collapsed limit of the parity-odd primordial trispectrum and can tighten constraints on parity-violating PNG when bias parameters are calibrated from N-body...

  5. Measurement of Parity-Violating Modes of the Dark Energy Spectroscopic Instrument (DESI) Year 1 Luminous Red Galaxies' 4-Point Correlation Function

    astro-ph.CO 2025-08 conditional novelty 6.0 of 10

    DESI's first parity-violation search shows a strong auto-correlation signal that disappears when the sky is split into patches, pointing to underestimated mocks' variance rather than new physics.

  6. A Match Made in Heaven: Linking Observables in Inflationary Cosmology

    hep-th 2025-05 unverdicted novelty 5.0 of 10

    In dynamical Chern-Simons inflation the parity-odd trispectrum is a double copy of the mixed bispectrum and parity-odd power spectrum via a prior factorization formula.

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