Regular black holes and gravitational particle-like solutions in generic DHOST theories

We construct regular, asymptotically flat black holes of higher order scalar tensor (DHOST) theories, which are obtained by making use a generalized Kerr-Schild solution generating method. The solutions depend on mass integration constant, admit smooth core chosen regularity, and generically have an inner outer event horizon. In particular, below certain threshold, we find massive, horizonless, particle-like solutions. scan through possible observational signatures ranging from weak to strong gravity study the thermodynamics our regular solutions, comparing them, when possible, General Relativity their thermodynamic laws.