Super-sample tidal modes on the celestial sphere

Abstract

The super-sample tidal effect carries information on long-wavelength fluctuations that we cannot measure directly. It arises from the mode-coupling between short-wavelength and long-wavelength perturbations beyond a finite region of a galaxy survey and violates statistical isotropy of observed galaxy power spectra. In this paper, we propose the use of bipolar spherical harmonic (BipoSH) decomposition formalism to characterize statistically anisotropic power spectra. Using the BipoSH formalism, we perform a comprehensive study of the effect of the super-sample tides on measurements of other cosmological distortions such as the redshift-space distortion (RSD) and Alcock-Paczyński (AP) effects by means of the Fisher information matrix formalism. We find that the BipoSH formalism can break parameter degeneracies among the super-sample tidal, RSD and AP effects, indicating that the super-sample tides have little impact on the measurements of the RSD and AP effects. We also show that the super-sample tides are detectable with an accuracy better than the $\Lambda$CDM prediction without impairing the accuracy of measurements of other anisotropies assuming a SPHEREx-like galaxy survey.

20 pages, 4 figures; comments welcomed

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Cited by in corpus (11)

• Large-scale dark matter simulations
• Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
• Cosmological simulation in tides: power spectra and halo shape responses, and shape assembly bias
• Anisotropic separate universe simulations
• Gravitational wave fossils in nonlinear regime: halo tidal bias and intrinsic alignments from gravitational wave separate universe simulations
• Lagrangian approach to super-sample effects on biased tracers at field level: galaxy density fields and intrinsic alignments
• Statistical anisotropy in galaxy ellipticity correlations
• Alcock-Paczynski effects on wide-angle galaxy statistics
• Minimum variance estimation of statistical anisotropy via galaxy survey
• Large-scale structure with superhorizon isocurvature dark energy
• Probing dipolar power asymmetry with galaxy clustering and intrinsic alignments