Search for the $Z^{\prime }$ boson decaying to a right-handed neutrino pair in leptophobic $\mathrm{U}(1)$ models

Abstract

The $U(1)$ extensions of the Standard Model contain a heavy neutral gauge boson $Z^{\prime }$. If leptophobic, the boson can evade the stringent bounds from the dilepton resonance searches. We consider two theoretically well-motivated examples of leptophobic $U(1)$ extensions in which the $Z^{\prime }$ decays to right-handed neutrinos (RHNs) with substantial branchings. The coexistence of a leptophobic $Z^{\prime }$ and the RHNs opens up a new possibility of searching for these particles simultaneously through the production of a $Z^{\prime }$ at the LHC and its decay to a RHN pair. For this decay to occur, the RHNs need to be lighter than the $Z^{\prime }$. Hence, we study this process in an inverse seesaw setup where the RHNs can be in the TeV range. However, in this case, they have a pseudo-Dirac nature, i.e., a RHN pair would produce only opposite-sign lepton pairs, as opposed to the Majorana-type neutrinos, which can produce both same- and opposite-sign lepton pairs. Hence, the final state we study has a same-flavour opposite-sign lepton pair plus hadronically-decaying boosted $W$ bosons. Our analysis shows that the high luminosity LHC can discover a TeV-scale leptophobic $Z^{\prime }$ decaying via a RHN pair in a wide range of available parameters. Interestingly, large parameter regions beyond the reach of future dijet-resonance searches can be probed exclusively through our channel.

14 pages, 6 figures, 4 tables. The journal version

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