The detection of gravitational waves emitted during a neutron star -black hole merger and the associated electromagnetic counterpart will provide a wealth of information about stellar evolution nuclear matter, and General Relativity. While the theoretical framework about neutron star -black hole binaries formed in isolation is well established, the picture is loosely constrained for those forming via dynamical interactions. Here, we use N-body simulations to show that mergers forming in globular and nuclear clusters could display distinctive marks compared to isolated mergers, namely larger masses, heavier black holes, and the tendency to have no associated electromagnetic counterpart. These features could represent a useful tool to interpreting forthcoming observations. In the Local Universe, gravitational waves emitted from dynamical mergers could be unravelled by detectors sensitive in the decihertz frequency band, while those occurring at the distance range of Andromeda and the Virgo Cluster could be accessible to lower-frequency detectors like LISA.The third observational campaign, O3, operated by the LIGO-Virgo Collaboration (LVC) will enlarge the family of gravitational wave (GW) sources, currently comprised of 11 confirmed black hole (BH) binary and 1 neutron star (NS) binary mergers 1 . The loot of observations accumulated during O3 will hopefully include the first BH binary with component masses in the so-called upper mass-gap, i.e. 50 â 150 Mâ, and the first NS-BH merger. In fact, as reported in the gravitational-wave candidate event database (GraceDB, https://gracedb.ligo.org/), both events might have been already recorded. The observation of an NS-BH merger represents a crucial cornerstone in both GW astronomy and stellar evolution and dynamics. The GW signal emitted by this type of sources encodes information about the mass ratio of the binary, the BH spin, the NS compactness and equation of state 2-4 . The next generation of GW detectors will allow us to chase these objects up to the dawn of Universe 5 , offering us the unique chance to follow them from the inspiraling phase to the merger. The formation of an accretion disc during the merger could trigger a kilonova event 6 and power a short Gamma-ray burst (sGRB) 7 , making NS-BH mergers promising multimessenger sources. The coincident observation of GWs and a kilonova 8 , the detection of peculiar precession in the jets produced during the sGRB 9 , or the anisotropic emission of ejected matter 10 are some of the proposed signatures of a putative NS-BH electromagnetic (EM) counterpart. The properties of the EM emission depend on the binary properties close to the merger. A high eccentricity, for instance, can affect the amount of mass ejected, the mass accreted onto the BH and the angular momentum transferred 11 . The actual development of an EM counterpart is expected to depend likely on the mass ratio, the BH spin, and the NS equation of state 2-4,10-12 . For mass ratios smaller than â1/3 â 1/4, the NS undergoes tidal disruption inside the BH's ...