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

• DOI: 10.1093/mnras/stae1924
• Publication Date: 2024-08-08T02:43:00Z
• Authors: Drew Jamieson; Angelo Caravano; Jiamin Hou; Zachary Slepian; Eiichiro Komatsu
• Keywords: Parity (physics); R-parity

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 scalar field. This compresses trispectrum into spectrum. These new statistics offer several advantages: they computationally fast construct, estimating their covariance is less demanding compared that full trispectrum, simple model theoretically. measure on simulations field with specific shape. compare these measurements semi-analytic theoretical calculations find agreement. explore extensions generalizations observables.