# $μ$-PhotoZ: Photometric Redshifts by Inverting the Tolman Surface Brightness Test - Astrophysics

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Abstract: Surface brightness is a fundamental observational parameter of galaxies. Weshow, for the first time in detail, how it can be used to obtain photometricredshifts for galaxies, the $\mu$-PhotoZ method.We demonstrate that the Tolman surface brightness relation, $\mu \propto1+z^{-4}$, is a powerful tool for determining galaxy redshifts fromphotometric data.We develop a model using $\mu$ and a color percentile ranking measure todemonstrate the $\mu$-PhotoZ method. We apply our method to a set of galaxiesfrom the SHELS survey, and demonstrate that the photometric redshift accuracyachieved using the surface brightness method alone is comparable with the bestcolor-based methods.We show that the $\mu$-PhotoZ method is very effective in determining theredshift for red galaxies using only two photometric bands. We discuss theproperties of the small, skewed, non-gaussian component of the errordistribution.We calibrate $\mu r, r-i$ from the SDSS to redshift, and tabulate theresult, providing a simple, but accurate look up table to estimate the redshiftof distant red galaxies.

Autor: Michael J. Kurtz, Margaret J. Geller, Daniel G. Fabricant, William F. Wyatt, Ian P. Dell'Antonio

Fuente: https://arxiv.org/