dorsal/arxiv
View SchemaA New Consistency Test for the $\Lambda$CDM Model using Radial and Transverse BAO Measurements
| Authors | Xing-Han A. Zhao, Zheng Cai |
|---|---|
| Categories | |
| ArXiv ID | 2601.07075vv1 |
| URL | https://arxiv.org/abs/2601.07075 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We present a calibration-free consistency test of spatially flat $\Lambda$CDM based on baryon acoustic oscillation (BAO) distance measurements. The method forms ratios of BAO distances including the Hubble distance, the comoving angular diameter distance, and the volume-averaged distance, so that the sound horizon scale cancels, and then maps each observed ratio to an effective flat-$\Lambda$CDM matter density parameter, ${\Omega}_{\rm M}^{\Lambda}$, defined as the value of $\Omega_{\rm M}$ that reproduces the measured ratio within $\Lambda$CDM. Flat $\Lambda$CDM predicts that ${\Omega}_{\rm M}^{\Lambda}$ should be independent of redshift and of the particular ratio used. For ratios involving the integrated distances, we associate them with well-defined effective line-of-sight redshift intervals based on the integral mean value theorem. We apply the test to BAO measurements from the Dark Energy Spectroscopic Instrument (DESI) Data Release~1 and Data Release~2, propagating the full published BAO covariance matrices into all derived ratios and ${\Omega}_{\rm M}^{\Lambda}$ constraints. Within current uncertainties, the inferred ${\Omega}_{\rm M}^{\Lambda}$ values are broadly consistent with a redshift-independent constant, providing an internal consistency check of flat $\Lambda$CDM that can be strengthened straightforwardly as BAO measurements improve.
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"abstract": "We present a calibration-free consistency test of spatially flat $\\Lambda$CDM based on baryon acoustic oscillation (BAO) distance measurements. The method forms ratios of BAO distances including the Hubble distance, the comoving angular diameter distance, and the volume-averaged distance, so that the sound horizon scale cancels, and then maps each observed ratio to an effective flat-$\\Lambda$CDM matter density parameter, ${\\Omega}_{\\rm M}^{\\Lambda}$, defined as the value of $\\Omega_{\\rm M}$ that reproduces the measured ratio within $\\Lambda$CDM. Flat $\\Lambda$CDM predicts that ${\\Omega}_{\\rm M}^{\\Lambda}$ should be independent of redshift and of the particular ratio used. For ratios involving the integrated distances, we associate them with well-defined effective line-of-sight redshift intervals based on the integral mean value theorem. We apply the test to BAO measurements from the Dark Energy Spectroscopic Instrument (DESI) Data Release~1 and Data Release~2, propagating the full published BAO covariance matrices into all derived ratios and ${\\Omega}_{\\rm M}^{\\Lambda}$ constraints. Within current uncertainties, the inferred ${\\Omega}_{\\rm M}^{\\Lambda}$ values are broadly consistent with a redshift-independent constant, providing an internal consistency check of flat $\\Lambda$CDM that can be strengthened straightforwardly as BAO measurements improve.",
"arxiv_id": "2601.07075",
"authors": [
"Xing-Han A. Zhao",
"Zheng Cai"
],
"categories": [
"astro-ph.CO"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "A New Consistency Test for the $\\Lambda$CDM Model using Radial and Transverse BAO Measurements",
"url": "https://arxiv.org/abs/2601.07075",
"version": "v1"
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