Explaining the CMS excesses, baryogenesis and neutrino masses in $E_{6}$
  motivated $U(1)_{N}$ model
  We study the superstring inspired $E_{6}$ model motivated $U(1)_{N}$
extension of the supersymmetric standard model to explore the possibility of
explaining the recent excess CMS events and the baryon asymmetry of the
universe in eight possible variants of the model. In light of the hints from
short-baseline neutrino experiments at the existence of one or more light
sterile neutrinos, we also study the neutrino mass matrices dictated by the
field assignments and the discrete symmetries in these variants. We find that
all the variants can explain the excess CMS events via the exotic slepton
decay, while for a standard choice of the discrete symmetry four of the
variants have the feature of allowing high scale baryogenesis (leptogenesis).
For one other variant three body decay induced soft baryogenesis mechanism is
possible which can induce baryon number violating neutron-antineutron
oscillation. We also point out a new discrete symmetry which has the feature of
ensuring proton stability and forbidding tree level flavor changing neutral
current processes while allowing for the possibility of high scale leptogenesis
for two of the variants. On the other hand, neutrino mass matrix of the
$U(1)_{N}$ model variants naturally accommodates three active and two sterile
neutrinos which acquire masses through their mixing with extra neutral fermions
giving rise to interesting textures for neutrino masses.
