How dark is the $\nu_R$-philic dark photon?

TL;DR

This paper explores a dark photon linked to right-handed neutrinos, showing it has loop-induced couplings to matter that make it detectable in future experiments, despite its initial 'dark' nature.

Contribution

It analyzes the loop-induced couplings of a $ u_{R}$-philic dark photon, revealing it is not completely dark and could be observed in upcoming experiments.

Findings

Loop-induced couplings to charged leptons and quarks are significant.

The dark photon is potentially detectable at future experiments like SHiP, FASER, and Belle-II.

The dark photon's couplings are not negligible despite being initially dark.

Abstract

We consider a generic dark photon that arises from a hidden $U(1)$ gauge symmetry imposed on right-handed neutrinos ($\nu_{R}$). Such a $\nu_{R}$-philic dark photon is naturally dark due to the absence of tree-level couplings to normal matter. However, loop-induced couplings to charged leptons and quarks are inevitable, provided that $\nu_{R}$ mix with left-handed neutrinos via Dirac mass terms. We investigate the loop-induced couplings and find that the $\nu_{R}$-philic dark photon is not inaccessibly dark, which could be of potential importance to future dark photon searches at SHiP, FASER, Belle-II, LHC 14 TeV, etc.