Leptogenesis, Dark Energy, Dark Matter and the neutrinos

Abstract

In this review we discuss how the models of neutrino masses can accommodate solutions to the problem of matter‐antimatter asymmetry in the universe, dark energy or cosmological constant problem and dark matter candidates. The matter‐antimatter asymmetry is explained by leptogenesis, originating from the lepton number violation associated with the neutrino masses. The dark energy problem is correlated with a mass varying neutrinos, which could originate from a pseudo‐Nambu‐Goldstone boson. In some radiative models of neutrino masses, there exists a Higgs doublet that does not acquire any vacuum expectation value. This field could be inert and the lightest inert particle could then be a dark matter candidate. We reviewed these scenarios in connection with models of neutrino masses with right‐handed neutrinos and with triplet Higgs scalars.