Constraining the Active-to-Heavy-Neutrino transitional magnetic moments associated with the $Z'$ interactions at FASER$ν$

We investigate the effects of the transitional magnetic dipole moment of the active-to-heavy-neutrino associated with a new neutral gauge boson $Z'$ on neutrino-nucleon scattering at the ForwArd Search ExpeRiment-$ν$ (FASER$ν$). We consider the neutral-current neutrino-nucleon scattering ($νA\rightarrow N A$) as the production mechanism of the heavy neutrino $N$ at FASER$ν$ and estimate the sensitivity reach on the magnetic moment coupling $μ_{ν_α}$ for a range of heavy neutrino mass ($1\,{\rm GeV} < M_{N} < 70 {\rm GeV}$). In this study, we consider three benchmark models, in which the heavy neutrino is coupled to $L_e$, $L_μ$ or $L_τ$ doublet, respectively.

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