Turnover detection using the power spectrum and bispectrum

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Hauptverfasser: Dube, Yolanda, Dinda, Bikash R., Jolicoeur, Sheean, Maartens, Roy
Format: Preprint
Veröffentlicht: 2025
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author Dube, Yolanda
Dinda, Bikash R.
Jolicoeur, Sheean
Maartens, Roy
author_facet Dube, Yolanda
Dinda, Bikash R.
Jolicoeur, Sheean
Maartens, Roy
contents The turnover at the peak of the Fourier matter power spectrum encodes a fundamental signature of matter-radiation equality in the early Universe. This delivers a potential standard ruler, independent of baryon acoustic oscillations and therefore able to break parameter degeneracies and improve precision. Furthermore, the turnover scale is independent of redshift and clustering bias, allowing for stacking of the signals from redshift bins. In practice, the very large scale of the turnover means that sample variance and systematics are serious impediments to its detection. Detections of the turnover and measurements of its scale have been made in the WiggleZ, eBOSS, Quaia, and DESI surveys. Upcoming surveys should improve the detection significance and reduce errors on the turnover scale. We use MCMC forecasts for turnover detection in a spectroscopic Euclid-like survey and a futuristic MegaMapper-like survey. In addition to the power spectrum, we include the signal from the bispectrum in equilateral configurations. These surveys are forecast to detect the turnover at $\sim\! 6σ$ (Euclid-like) and $\sim\! 15σ$ (MegaMapper-like), with precision on the turnover scale of $\sim\! 4\%$ and $\sim\! 2\%$. The inclusion of the bispectrum delivers a modest improvement of $\sim\! 10-17\%$ in the constraints on the turnover scale.
format Preprint
id arxiv_https___arxiv_org_abs_2511_06962
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Turnover detection using the power spectrum and bispectrum
Dube, Yolanda
Dinda, Bikash R.
Jolicoeur, Sheean
Maartens, Roy
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
The turnover at the peak of the Fourier matter power spectrum encodes a fundamental signature of matter-radiation equality in the early Universe. This delivers a potential standard ruler, independent of baryon acoustic oscillations and therefore able to break parameter degeneracies and improve precision. Furthermore, the turnover scale is independent of redshift and clustering bias, allowing for stacking of the signals from redshift bins. In practice, the very large scale of the turnover means that sample variance and systematics are serious impediments to its detection. Detections of the turnover and measurements of its scale have been made in the WiggleZ, eBOSS, Quaia, and DESI surveys. Upcoming surveys should improve the detection significance and reduce errors on the turnover scale. We use MCMC forecasts for turnover detection in a spectroscopic Euclid-like survey and a futuristic MegaMapper-like survey. In addition to the power spectrum, we include the signal from the bispectrum in equilateral configurations. These surveys are forecast to detect the turnover at $\sim\! 6σ$ (Euclid-like) and $\sim\! 15σ$ (MegaMapper-like), with precision on the turnover scale of $\sim\! 4\%$ and $\sim\! 2\%$. The inclusion of the bispectrum delivers a modest improvement of $\sim\! 10-17\%$ in the constraints on the turnover scale.
title Turnover detection using the power spectrum and bispectrum
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2511.06962