ShapeFit: extracting the power spectrum shape information in galaxy surveys beyond BAO and RSD

Abstract

In the standard (classic) approach, galaxy clustering measurements from spectroscopic surveys are compressed into baryon acoustic oscillations and redshift space distortions measurements, which in turn can be compared to cosmological models. Recent works have shown that avoiding this intermediate step and fitting directly the full power spectrum signal (full modelling) leads to much tighter constraints on cosmological parameters. Here we show where this extra information is coming from and extend the classic approach with one additional effective parameter, such that it captures, effectively, the same amount of information as the full modelling approach, but in a model-independent way. We validate this new method (ShapeFit) on mock catalogs, and compare its performance to the full modelling approach finding both to deliver equivalent results. The ShapeFit extension of the classic approach promotes the standard analyses at the level of full modelling ones in terms of information content, with the advantages of i) being more model independent; ii) offering an understanding of the origin of the extra cosmological information; iii) allowing a robust control on the impact of observational systematics.

60 pages, 19 figures, 5 Tables; v2 matches accepted version, new figures 7 and 9 and table 4, updated figures 1, 7 and 16

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• Semi-analytical covariance matrices for two-point correlation function for DESI 2024 data
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• Cosmological constraints on early dark energy from the full shape analysis of eBOSS DR16
• PT challenge: Validation of ShapeFit on large-volume, high-resolution mocks
• Compressing the cosmological information in one-dimensional correlations of the Lyman-$\alpha$ forest
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• The Impact of Spectroscopic Redshift Errors on Cosmological Measurements
• Cosmological implications of the full shape of anisotropic clustering measurements in BOSS and eBOSS
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• Model-agnostic interpretation of 10 billion years of cosmic evolution traced by BOSS and eBOSS data