A Unified Neutrino-Linked Asymmetric Dark Matter Framework with Dark-Higgs Mass Generation and a Possible Gravitational-Wave Extension

We present a phenomenological framework in which the visible matter asymmetry and
the dark matter asymmetry may originate from the decays of heavy right-handed neutrinos,
while the dark matter mass is generated by symmetry breaking in a dark-Higgs sector. The
construction combines three ingredients: leptogenesis-like asymmetry generation, a stable
Dirac dark fermion carrying conserved dark number, and a dark scalar whose vacuum expectation
value gives the dark matter its mass. In this setting, the observed ratio ΩDM/Ωb ≃ 5.4
can be expressed in terms of the visible and dark CP asymmetries, washout efficiencies, and
the sphaleron conversion factor. This leads to a derived relation between the dark matter
mass, the asymmetry-generation dynamics, and the dark-Higgs scale. We present the
underlying effective Lagrangian, derive the principal abundance relations, formulate the
corresponding Boltzmann picture, and provide illustrative numerical benchmarks. We then
outline a possible extension in which the dark-Higgs sector undergoes a first-order phase
transition, thereby opening the possibility of a stochastic gravitational-wave signal associated
with dark-matter mass generation. The discussion is intended as a conceptual and
phenomenological framework rather than a complete ultraviolet-complete theory.