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Model-Independent Measurement of the Matter-Radiation Equality Scale in DESI 2024

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Main Authors:	Bahr-Kalus, B., Parkinson, D., Lodha, K., Mueller, E., Chaussidon, E., de Mattia, A., Forero-Sánchez, D., Aguilar, J., Ahlen, S., Bianchi, D., Brooks, D., Claybaugh, T., Cuceu, A., de la Macorra, A., Doel, P., Font-Ribera, A., Gaztañaga, E., Gontcho, S., Gontcho, A, Gutierrez, G., Honscheid, K., Huterer, D., Ishak, M., Kehoe, R., Kent, S., Kirkby, D., Kisner, T., Kremin, A., Lahav, O., Landriau, M., Guillou, L. Le, Magneville, C., Manera, M., Martini, P., Meisner, A., Miquel, R., Moustakas, J., Nadathur, S., Palanque-Delabrouille, N., Percival, W. J., Prada, F., Pérez-Ràfols, I., Ross, A. J., Rossi, G., Samushia, L., Sanchez, E., Schlegel, D., Schubnell, M., Seo, H., Silber, J., Sprayberry, D., Tarlé, G., Weaver, B. A., Zhou, R., Zou, H.
Format:	Preprint
Published:	2025
Subjects:	Cosmology and Nongalactic Astrophysics
Online Access:	Acceder al recurso
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_version_	1866912616428863488
author	Bahr-Kalus, B. Parkinson, D. Lodha, K. Mueller, E. Chaussidon, E. de Mattia, A. Forero-Sánchez, D. Aguilar, J. Ahlen, S. Bianchi, D. Brooks, D. Claybaugh, T. Cuceu, A. de la Macorra, A. Doel, P. Font-Ribera, A. Gaztañaga, E. Gontcho, S. Gontcho, A Gutierrez, G. Honscheid, K. Huterer, D. Ishak, M. Kehoe, R. Kent, S. Kirkby, D. Kisner, T. Kremin, A. Lahav, O. Landriau, M. Guillou, L. Le Magneville, C. Manera, M. Martini, P. Meisner, A. Miquel, R. Moustakas, J. Nadathur, S. Palanque-Delabrouille, N. Percival, W. J. Prada, F. Pérez-Ràfols, I. Ross, A. J. Rossi, G. Samushia, L. Sanchez, E. Schlegel, D. Schubnell, M. Seo, H. Silber, J. Sprayberry, D. Tarlé, G. Weaver, B. A. Zhou, R. Zou, H.
author_facet	Bahr-Kalus, B. Parkinson, D. Lodha, K. Mueller, E. Chaussidon, E. de Mattia, A. Forero-Sánchez, D. Aguilar, J. Ahlen, S. Bianchi, D. Brooks, D. Claybaugh, T. Cuceu, A. de la Macorra, A. Doel, P. Font-Ribera, A. Gaztañaga, E. Gontcho, S. Gontcho, A Gutierrez, G. Honscheid, K. Huterer, D. Ishak, M. Kehoe, R. Kent, S. Kirkby, D. Kisner, T. Kremin, A. Lahav, O. Landriau, M. Guillou, L. Le Magneville, C. Manera, M. Martini, P. Meisner, A. Miquel, R. Moustakas, J. Nadathur, S. Palanque-Delabrouille, N. Percival, W. J. Prada, F. Pérez-Ràfols, I. Ross, A. J. Rossi, G. Samushia, L. Sanchez, E. Schlegel, D. Schubnell, M. Seo, H. Silber, J. Sprayberry, D. Tarlé, G. Weaver, B. A. Zhou, R. Zou, H.
contents	The peak of the matter power spectrum, known as the turnover (TO) scale, is determined by the horizon size at the time of matter-radiation equality. This scale can serve as a standard ruler, independent of other features in the matter power spectrum, such as baryon acoustic oscillations (BAO). Here, we present the first detection of the turnover in the galaxy auto-power spectrum, utilising the distribution of quasars (QSO) and luminous red galaxies (LRG) measured by the Dark Energy Spectroscopic Instrument (DESI) during its first year of survey operations in a model-independent manner. To avoid confirmation bias, we first analyse the data using data blinding methods designed for the DESI baryon acoustic oscillation, redshift space distortion and scale-dependent bias signals. We measure the angle-averaged dilation distance $D_V(z = 1.651) = (38.1\pm 2.5)r_H$ from the quasars and $D_{V}(z = 0.733) = (21.8\pm 1.0)r_H$ from the LRG sample in units of the horizon $r_H$ at the matter-radiation-equality epoch. Combining these two constraints and assuming a flat $Λ$CDM model with three standard neutrino species, we can translate this into a constraint of $Ω_{m}h^2 = 0.139^{+0.036}_{-0.046}$. We can break the $Ω_m$-$H_0$ degeneracy with low-redshift distance measurements from type-Ia supernova (SN) data from Pantheon+, we obtain a sound-horizon free estimate of the Hubble-Lemaître parameter of $H_0=65.2^{+4.9}_{-6.2}$ km/s/Mpc, consistent with sound-horizon dependent DESI measurements. On the other hand, combining the DESI BAO and TO, we find a truly DESI-only measurement of $H_0=74.0^{+7.2}_{-3.5}$ km/s/Mpc, in line with DESI-only full-shape results where the sound-horizon scale is marginalised out. This discrepancy in $H_0$ can be reconciled in a $w_0w_a$CDM cosmology, where the combination of DESI BAO and TO data yields $H_0 = 66.5\pm 7.2\;\mathrm{km/s/Mpc}$.
format	Preprint
id	arxiv_https___arxiv_org_abs_2505_16153
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Model-Independent Measurement of the Matter-Radiation Equality Scale in DESI 2024 Bahr-Kalus, B. Parkinson, D. Lodha, K. Mueller, E. Chaussidon, E. de Mattia, A. Forero-Sánchez, D. Aguilar, J. Ahlen, S. Bianchi, D. Brooks, D. Claybaugh, T. Cuceu, A. de la Macorra, A. Doel, P. Font-Ribera, A. Gaztañaga, E. Gontcho, S. Gontcho, A Gutierrez, G. Honscheid, K. Huterer, D. Ishak, M. Kehoe, R. Kent, S. Kirkby, D. Kisner, T. Kremin, A. Lahav, O. Landriau, M. Guillou, L. Le Magneville, C. Manera, M. Martini, P. Meisner, A. Miquel, R. Moustakas, J. Nadathur, S. Palanque-Delabrouille, N. Percival, W. J. Prada, F. Pérez-Ràfols, I. Ross, A. J. Rossi, G. Samushia, L. Sanchez, E. Schlegel, D. Schubnell, M. Seo, H. Silber, J. Sprayberry, D. Tarlé, G. Weaver, B. A. Zhou, R. Zou, H. Cosmology and Nongalactic Astrophysics The peak of the matter power spectrum, known as the turnover (TO) scale, is determined by the horizon size at the time of matter-radiation equality. This scale can serve as a standard ruler, independent of other features in the matter power spectrum, such as baryon acoustic oscillations (BAO). Here, we present the first detection of the turnover in the galaxy auto-power spectrum, utilising the distribution of quasars (QSO) and luminous red galaxies (LRG) measured by the Dark Energy Spectroscopic Instrument (DESI) during its first year of survey operations in a model-independent manner. To avoid confirmation bias, we first analyse the data using data blinding methods designed for the DESI baryon acoustic oscillation, redshift space distortion and scale-dependent bias signals. We measure the angle-averaged dilation distance $D_V(z = 1.651) = (38.1\pm 2.5)r_H$ from the quasars and $D_{V}(z = 0.733) = (21.8\pm 1.0)r_H$ from the LRG sample in units of the horizon $r_H$ at the matter-radiation-equality epoch. Combining these two constraints and assuming a flat $Λ$CDM model with three standard neutrino species, we can translate this into a constraint of $Ω_{m}h^2 = 0.139^{+0.036}_{-0.046}$. We can break the $Ω_m$-$H_0$ degeneracy with low-redshift distance measurements from type-Ia supernova (SN) data from Pantheon+, we obtain a sound-horizon free estimate of the Hubble-Lemaître parameter of $H_0=65.2^{+4.9}_{-6.2}$ km/s/Mpc, consistent with sound-horizon dependent DESI measurements. On the other hand, combining the DESI BAO and TO, we find a truly DESI-only measurement of $H_0=74.0^{+7.2}_{-3.5}$ km/s/Mpc, in line with DESI-only full-shape results where the sound-horizon scale is marginalised out. This discrepancy in $H_0$ can be reconciled in a $w_0w_a$CDM cosmology, where the combination of DESI BAO and TO data yields $H_0 = 66.5\pm 7.2\;\mathrm{km/s/Mpc}$.
title	Model-Independent Measurement of the Matter-Radiation Equality Scale in DESI 2024
topic	Cosmology and Nongalactic Astrophysics
url	https://arxiv.org/abs/2505.16153