The Scaling Relation between Galaxy Luminosity and WHIM Density from EAGLE Simulations with application to SDSS data
Patrick Holt, Toni Tuominen, Jukka Nevalainen, Massimiliano Bonamente,, Teet Kuutma, Pekka Hein\"am\"aki, and Elmo Tempel

TL;DR
This study establishes a robust scaling relation between galaxy luminosity density and WHIM density from EAGLE simulations, and applies it to SDSS data to estimate the cosmic baryon content, aiding the search for missing baryons.
Contribution
It introduces a new calibration method linking galaxy luminosity to WHIM density, validated with simulations and applied to observational data to estimate baryon fractions.
Findings
The scaling relation predicts WHIM density with less than 0.5 dex scatter.
Application to SDSS data estimates WHIM contains about 31% of cosmic baryons.
Results are consistent with current missing baryon estimates within uncertainties.
Abstract
This paper presents an updated scaling relation between the optical luminosity density (LD) of galaxies in the band and the density of the warm-hot intergalactic medium (WHIM) in cosmic filaments, using the high-resolution EAGLE simulations. We find a strong degree of correlation between the WHIM density and the galaxy luminosity density, resulting in a scaling relation between the two quantities that permits to predict the WHIM density of filaments with a scatter of less than dex in a broad range of smoothed filament luminosity densities. In order to estimate the performance of the simulation-based calibration of the LD-WHIM density relation, we applied it to a sample of low-redshift filaments detected with the \emph{Bisous} method in the Legacy Survey SDSS~DR12 data. In the volume covered by the SDSS data, our relation predicts a WHIM density amounting to…
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