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Observed scaling relations in galaxies between baryons and dark matter globalproperties are key to shed light on the process of galaxy formation and on thenature of dark matter. Here, we study the scaling relation between the neutralhydrogen (HI) and dark matter mass in isolated rotationally-supported diskgalaxies at low redshift. We first show that state-of-the-art galaxy formationsimulations predict that the HI-to-dark halo mass ratio decreases with stellarmass for the most massive disk galaxies. We then infer dark matter halo massesfrom high-quality rotation curve data for isolated disk galaxies in the localUniverse, and report on the actual universality of the HI-to-dark halo massratio for these observed galaxies. This scaling relation holds for disksspanning a range of 4 orders of magnitude in stellar mass and 3 orders ofmagnitude in surface brightness. Accounting for the diversity of rotation curveshapes in our observational fits decreases the scatter of the HI-to-dark halomass ratio while keeping it constant. This finding extends the previouslyreported discrepancy for the stellar-to-halo mass relation of massive diskgalaxies within galaxy formation simulations to the realm of neutral atomicgas. Our result reveals that isolated galaxies with regularly rotating extendedHI disks are surprisingly self-similar up to high masses, which hints atmass-independent self-regulation mechanisms that have yet to be fullyunderstood.

Disk galaxies are self-similar: the universality of the HI-to-Halo mass ratio for isolated disks