Scalar dark matter, Neutrino mass, Leptogenesis and rare B decays in a $\rm U(1)_{B-L}$ model
We investigate the phenomenology of singlet scalar dark matter in a simple $\rm U(1)_{B-L}$ gauge extension of standard model, made anomaly free with four exotic fermions. The enriched scalar sector and the new gauge boson $Z^\prime$, associated with $\rm U(1)$ gauge extension, connect the dark sector to the visible sector. We compute relic density, consistent with Planck limit and $Z^\prime$ mediated dark matter-nucleon cross section, compatible with PandaX bound. The mass of $Z^\prime$ and the corresponding gauge coupling are constrained from LEP-II and LHC dilepton searches. We also briefly scrutinize the neutrino mass generation through radiative mechanism. Additionally, we restrict the new gauge parameters by using the existing data on branching ratios of rare $B(\tau)$ decay modes. With a slight modification of the same model, we discuss resonant leptogenesis phenomena with TeV scale exotic fermions to produce the observed baryon asymmetry of the Universe.