Abstract Gravitational wave (GW) standard sirens enable independent measurements of the Hubble constant H0. In the absence of electromagnetic counterparts, the ”dark siren” method statistically correlates GW events with potential host galaxies. We present a measurement of H0 using the fourth Gravitational-Wave Transient Catalogue (GWTC-4. 0) combined with the Dark Energy Survey Year 6 Gold photometric galaxy catalogue. Using the gwcosmo pipeline, we jointly infer cosmological and GW population parameters. We analyse the impact of galaxy catalogue properties on the inference, identifying significant features in the galaxy redshift distribution which can introduce biases. By restricting the galaxy catalogue to 0. 05 z 0. 50 to maintain consistency with a uniform in comoving volume galaxy distribution, we obtain a result of H₀=71. 7^+22. 7-₁₈. ₃\;km\;s^-1\;Mpc^-1 from dark sirens and H₀=73. 1^+11. 9-₈. ₅\;km\;s^-1\;Mpc^-1 when combined with the bright siren GW170817. This study demonstrates the adaptation of deep galaxy catalogues for GW cosmology, highlighting key challenges and methodologies essential for maximizing the potential of next-generation galaxy surveys.
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