$Z^{\prime }$s in neutrino scattering at DUNE

Abstract

Novel leptophilic neutral currents can be tested at upcoming neutrino oscillation experiments using two complementary processes, neutrino trident production and neutrino-electron ($\nu -e$) elastic scattering. Considering generic anomaly-free $U(1)$ extensions of the Standard Model, we discuss the characteristics of $\nu -e$ scattering as well as $e^{+}{e}^{-}$ and ${\mu }^{+}{\mu }^{-}$ trident production at the DUNE near detector in the presence of such BSM scenarios. We then determine the sensitivity of DUNE in constraining the well-known $L_e-L_{\mu }$ and $L_{\mu }-L_{\tau }$ models. We conclude that DUNE will be able to probe these leptophilic models with unprecedented sensitivity, covering unproved explanations of the $(g-2{)}_{\mu }$ discrepancy.

Comments: 32 pages, 10 figures