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We present a measurement of the Hubble Constant $H_0$ using the gravitationalwave event GW190412, an asymmetric binary black hole merger detected byLIGO/Virgo, as a dark standard siren. This event does not have anelectromagnetic counterpart, so we use the statistical standard siren methodand marginalize over potential host galaxies from the Dark Energy SpectroscopicInstrument (DESI) survey. GW190412 is well-localized to 12 deg$^2$ (90%credible interval), so it is promising for a dark siren analysis. The darksiren value for $H_0=85.4_{-33.9}^{+29.1}$ km/s/Mpc, with a posterior shapethat is consistent with redshift overdensities. When combined with the brightstandard siren measurement from GW170817 we recover $H_0=77.96_{-5.03}^{+23.0}$km/s/Mpc, consistent with both early and late-time Universe measurements of$H_0$. This work represents the first standard siren analysis performed withDESI data, and includes the most complete spectroscopic sample used in a darksiren analysis to date.

A dark siren measurement of the Hubble constant with the LIGO/Virgo gravitational wave event GW190412 and DESI galaxies