2017ApJ...835..184G

We aim to explore the relationship between globular cluster total number, N_GC, and central black hole mass, M_*, in spiral galaxies, and compare it with that recently reported for ellipticals. We present results for the Sbc galaxy NGC 4258, from Canada-France-Hawaii Telescope data. Thanks to water masers with Keplerian rotation in a circumnuclear disk, NGC 4258 has the most precisely measured extragalactic distance and supermassive black hole mass to date. The globular cluster (GC) candidate selection is based on the (u^* -i^′^) versus (i^′^-K_s) diagram, which is a superb tool to distinguish GCs from foreground stars, background galaxies, and young stellar clusters, and hence can provide the best number counts of GCs from photometry alone, virtually free of contamination, even if the Galaxy is not completely edge-on. The mean optical and optical-near-infrared colors of the clusters are consistent with those of the Milky Way and M 31, after extinction is taken into account. We directly identify 39 GC candidates; after completeness correction, GC luminosity function extrapolation, and correction for spatial coverage, we calculate a total N_GC=144±31_–36⁺³⁸ (random and systematic uncertainties, respectively). We have thus increased to six the sample of spiral galaxies with measurements of both M_* and N_GC. NGC 4258 has a specific frequency S_N=0.4±0.1 (random uncertainty), and is consistent within 2σ with the N_GC versus M_* correlation followed by elliptical galaxies. The Milky Way continues to be the only spiral that deviates significantly from the relation.