Towards Bayesian Photometric Cosmic Chronometers: Application to VIPERS
arXiv:2606.07298
Abstract
The cosmic chronometer (CC) method provides a direct measurement of the expansion history, , from the differential ages of passively evolving galaxies. However, most CC analyses rely on high-quality spectroscopy to select passive galaxies, measure age-sensitive spectral features, and control stellar-population systematics. We build on existing works that use the D4000 spectral break as a proxy for measuring galaxy ages and apply it to a photometry-selected galaxy sample from VIPERS PDR2 in the range . Our goal is to extend the scope of the standard CC framework to photometric surveys. To achieve this, we first select a massive and passive galaxy sample using rest-frame colors and mass. Second, we design a Bayesian framework to infer full galaxy age posteriors in fine redshift bins, using a D4000-age-metallicity grid from stellar population synthesis (SPS) models. We also marginalize over metallicity, using a Gaussian metallicity prior to break the D4000-age-metallicity degeneracy. Subsequently, we derive age-difference posteriors between redshift bins by convolving their age posteriors to propagate the non-Gaussian features correctly. Finally, using the median and errors extracted from the differential age posteriors, we calculate the weighted average over our selected redshift range. We obtain , which is consistent with existing spectroscopic CC measurements and with the Planck CDM prediction at the same redshift. This result provides a proof of concept for extending direct measurements from cosmic chronometers to photometric and spectro-photometric surveys, where larger samples can compensate for lower spectral resolution, provided that passive-galaxy selection, metallicity priors, and stellar-population systematics are carefully controlled.
20 pages, 14 figures, submitted to A&A