Dark matter mass from relic abundance, extra $U(1)$ Gauge boson and Active-Sterile Neutrino Mixing. (arXiv:1906.10185v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Bhat_I/0/1/0/all/0/1">Imtiyaz Ahmad Bhat</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Adhikari_R/0/1/0/all/0/1">Rathin Adhikari</a>

In a model with extra $U(1)$ gauge to Standard Model gauge group we have
shown the allowed region of masses of extra gauge boson and the dark matter
which is the lightest one among other right-handed Majorana fermions present in
the model. To obtain this region we have used bound on dark matter relic
density obtained by PLANCK together with the bound on extra gauge boson mass
and its gauge coupling recently obtained by ATLAS collaboration at LHC. This
allowed region also get further constrained by the required active-sterile
neutrino mass and mixing present in the model. The requirement of light active
neutrino mass around 0.1 eV scale requires dark matter mass around TeV scale.
We have discussed how the co-annihilation channel of dark matter with next
heavier right-handed Majorana fermion and their mass gap change the allowed
region. For fixed extra $U(1)$ gauge boson mass and gauge coupling we have
shown that for any particular relic density within PLANCK bound there are in
general two possible solutions of dark matter mass.

In a model with extra $U(1)$ gauge to Standard Model gauge group we have
shown the allowed region of masses of extra gauge boson and the dark matter
which is the lightest one among other right-handed Majorana fermions present in
the model. To obtain this region we have used bound on dark matter relic
density obtained by PLANCK together with the bound on extra gauge boson mass
and its gauge coupling recently obtained by ATLAS collaboration at LHC. This
allowed region also get further constrained by the required active-sterile
neutrino mass and mixing present in the model. The requirement of light active
neutrino mass around 0.1 eV scale requires dark matter mass around TeV scale.
We have discussed how the co-annihilation channel of dark matter with next
heavier right-handed Majorana fermion and their mass gap change the allowed
region. For fixed extra $U(1)$ gauge boson mass and gauge coupling we have
shown that for any particular relic density within PLANCK bound there are in
general two possible solutions of dark matter mass.

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