Testing Unification, Dark Matter and Neutrino Masses with Gravitational Wave Detectors

Two of the most pressing unanswered questions in particle physics concern the nature of dark matter and the origin of neutrino masses. I will discuss how to explain those mysteries within the framework of a new theory unifying baryon number and color into an SU(4) symmetry, and with lepton number promoted to a U(1) gauge symmetry. The spontaneous breaking of this new symmetry leads to the appearance of neutrino masses. The model enjoys a unique gravitational wave spectrum, including a simultaneous presence of a first order phase transition signal and either a cosmic string or a domain wall signal, all within a similar frequency range. Such signatures can be used to determine the scalar content of the theory at the high scale. I will present how near-future gravitational wave experiments like DECIGO, Big Bang Observer, Einstein Telescope and Cosmic Explorer can be utilized to look for such novel signatures.