Listening for ultra-heavy dark matter with underwater acoustic detectors

Abstract: Ultra-heavy dark matter is a class of candidates for which direct detection experiments are ineffective due to the suppressed dark matter flux. We explore the potential of large underwater acoustic arrays, developed for ultra-high energy neutrino detection, to detect ultra-heavy dark matter. As ultra-heavy dark matter traverses seawater, it deposits energy through nuclear scattering, generating thermo-acoustic waves detectable by hydrophones. We derive the dark matter-induced acoustic pressure wave from first principles and characterise attenuation effects, including frequency-dependent modifications due to viscous and chemical relaxation effects in seawater, providing an improved framework for signal modelling. Our sensitivity analysis for a hypothetical 100 cubic kilometre hydrophone array in the Mediterranean Sea shows that such an array could probe unexplored regions of parameter space for ultra-heavy dark matter, with sensitivity to both spin-independent and spin-dependent interactions. Our results establish acoustic detection as a promising dark matter search method, paving the way for analysing existing hydrophone data and guiding future detector designs.