Key points are not available for this paper at this time.
We present a new constraint on the Hubble constant (H₀) from the standard dark siren method using a sample of 5 well-covered gravitational wave (GW) alerts reported during the first part of the fourth LIGO/Virgo/KAGRA observing runs in combination with standard dark sirens from the first three runs. Our methodology relies on the galaxy catalog method alone. We use the full probability density estimation of photometric redshifts derived by a deep learning method using the DESI Legacy Survey and DELVE galaxy catalogs. We add the constraints from the binary black hole mergers candidates S231226av, S231206cc, S230919bj, S230627c, and S230922g to the sample of standard dark sirens analyzed in Alfradique et al. (2024). We combine the H₀ posterior for 5 new standard sirens with other 10 previous events (3 with updated posteriors), finding H₀ = 69. 9^+13. 3-₁₂. ₀~ km~s^{-1~Mpc^-1} (68% Highest Density Interval) with the catalog method alone. This result represents an improvement of 23\% comparing the new 15 dark siren constrain with the previous 10 dark siren constraint, and a reduction in uncertainty of 40\% from the combination of 15 dark and bright sirens compared with the GW170817 bright siren alone. The combination of dark and bright siren GW170817 with recent jet constraints yields H₀ of 68. 0^+4. 3-₃. ₈~ km~s^{-1~Mpc^-1}, a 6\% precision from Standard Sirens, reducing the previous constraint uncertainty by 10\%.
Bom et al. (Wed,) studied this question.