Matteo Cataneo
The matter density PDF for modified gravity and dark energy with Large Deviations Theory
Cataneo, Matteo; Uhlemann, Cora; Arnold, Christian; Gough, Alex; Li, Baojiu; Heymans, Catherine
Authors
Cora Uhlemann
Christian Arnold
Alex Gough
Professor Baojiu Li baojiu.li@durham.ac.uk
Professor
Catherine Heymans
Abstract
We present an analytical description of the probability distribution function (PDF) of the smoothed 3D matter density field for modified gravity and dark energy. Our approach, based on the principles of Large Deviations Theory, is applicable to general extensions of the standard Lambda cold dark matter (ΛCDM) cosmology. We show that late-time changes to the law of gravity and background expansion can be included through Einstein-de Sitter spherical collapse dynamics combined with linear theory calculations and a calibration measurement of the non-linear variance of the smoothed density field from a simple numerical simulation. In a comparison to N-body simulations for f(R), DGP, and evolving dark energy theories, we find per cent level accuracy around the peak of the distribution for predictions in the mildly non-linear regime. A Fisher forecast of an idealized experiment with a Euclid-like survey volume demonstrates the power of combining measurements of the 3D matter PDF with the 3D matter power spectrum. This combination is shown to halve the uncertainty on parameters for an evolving dark energy model, relative to a power spectrum analysis on its own. The PDF is also found to substantially increase the detection significance for small departures from General Relativity, with improvements of up to six times compared to the power spectrum alone. This analysis is therefore very promising for future studies including non-Gaussian statistics, as it has the potential to alleviate the reliance of these analyses on expensive high-resolution simulations and emulators.
Citation
Cataneo, M., Uhlemann, C., Arnold, C., Gough, A., Li, B., & Heymans, C. (2022). The matter density PDF for modified gravity and dark energy with Large Deviations Theory. Monthly Notices of the Royal Astronomical Society, 513(2), 1623-1641. https://doi.org/10.1093/mnras/stac904
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 26, 2022 |
Online Publication Date | Apr 7, 2022 |
Publication Date | 2022-06 |
Deposit Date | Oct 27, 2021 |
Publicly Available Date | Jun 8, 2022 |
Journal | Monthly Notices of Royal Astronomical Society |
Print ISSN | 0035-8711 |
Electronic ISSN | 1365-2966 |
Publisher | Royal Astronomical Society |
Peer Reviewed | Peer Reviewed |
Volume | 513 |
Issue | 2 |
Pages | 1623-1641 |
DOI | https://doi.org/10.1093/mnras/stac904 |
Public URL | https://durham-repository.worktribe.com/output/1227819 |
Related Public URLs | https://arxiv.org/abs/2109.02636 |
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Copyright Statement
This article has been accepted for publication in Monthly notices of the Royal Astronomical Society. ©: 2021 The Author(s). Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
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