Abstract
We investigate the Standard Model (SM) with a $U(1)_{B-L}$ gauge extension where a $B-L$ charged scalar is a viable dark matter (DM) candidate. The dominant annihilation process, for the DM particle is through the $B-L$ symmetry breaking scalar to right-handed neutrino pair. We exploit the effect of decay and inverse decay of the right-handed neutrino in thermal relic abundance of the DM. Depending on the values of the decay rate, the DM relic density can be significantly different from what is obtained in the standard calculation assuming the right-handed neutrino is in thermal equilibrium and there appear different regions of the parameter space satisfying the observed DM relic density. For a DM mass less than $\mathcal{O}$(TeV), the direct detection experiments impose a competitive bound on the mass of the $U(1)_{B-L}$ gauge boson $Z^\prime$ with the collider experiments. Utilizing the non-observation of the displaced vertices arising from the right-handed neutrino decays, bound on the mass of $Z^\prime$ has been obtained at present and higher luminosities at the LHC with 14 TeV centre of mass energy where an integrated luminosity of 100fb$^{-1}$ is sufficient to probe $m_{Z'} \sim 5.5$ TeV.
Highlights
The indirect astrophysical evidence of the existence of missing mass in form of a matter, called dark matter (DM), and the confirmation of the existence of tiny neutrino mass through neutrino oscillation are the two major motivations to look for possible extension of the standard model (SM)
In this paper we focus on an extension of the SM where the B − L charged right-handed neutrinos have three different as well as important consequences in the beyond standard model (BSM) physics
As the right-handed neutrinos are charged under Uð1ÞB−L gauge group, it gives rise to the much needed annihilation mode for B − L charged but SM gauge singlet scalar DM candidate
Summary
The indirect astrophysical evidence of the existence of missing mass in form of a matter, called dark matter (DM), and the confirmation of the existence of tiny neutrino mass through neutrino oscillation are the two major motivations to look for possible extension of the standard model (SM). The effect of right-handed neutrino decay in a context of a supersymmetric Uð1Þ0 extension of the SM was studied in Ref. We present that the measurements of spin-independent (SI) cross-section of DM-nuclei scattering in direct detection experiments especially XENON1T [6] can impose bound on the mass of B − L gauge boson Z0 superior to the collider limits. The presence of displaced vertex arising from right-handed neutrino decay allows us the impose indirect limit on the mass of Z0 at the LHC with current as well as higher integrated luminosities.
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