Constraining the phase shift of relativistic species in DESI BAOs
Abb\'e M. Whitford, Hugo Rivera-Morales, Cullan Howlett, Mariana, Vargas-Maga\~na, S\'ebastien Fromenteau, Tamara M. Davis, Alejandro, P\'erez-Fern\'andez, Arnaud de Mattia, Steven Ahlen, Davide Bianchi, David, Brooks, Etienne Burtin, Todd Claybaugh, Axel de la Macorra

TL;DR
This paper measures the phase shift of relativistic species in BAO signals using DESI data, providing constraints on neutrino effects and testing methodology accuracy for future cosmological analyses.
Contribution
It extends an existing methodology to measure the BAO phase shift amplitude and applies it to DESI DR1 data, including validation with simulations and combined constraints.
Findings
Measured $eta_{phi}$ from DESI DR1 data with significance
Found $eta_{phi} > 0$ at 4.3$\sigma$ significance
Results suggest potential non-standard neutrino effects or statistical fluctuation.
Abstract
In the early Universe, neutrinos decouple quickly from the primordial plasma and propagate without further interactions. The impact of free-streaming neutrinos is to create a temporal shift in the gravitational potential that impacts the acoustic waves known as baryon acoustic oscillations (BAOs), resulting in a non-linear spatial shift in the Fourier-space BAO signal. In this work, we make use of and extend upon an existing methodology to measure the phase shift amplitude and apply it to the DESI Data Release 1 (DR1) BAOs with an anisotropic BAO fitting pipeline. We validate the fitting methodology by testing the pipeline with two publicly available fitting codes applied to highly precise cubic box simulations and realistic simulations representative of the DESI DR1 data. We find further study towards the methods used in fitting the BAO signal will be necessary to ensure…
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