Prospects of five-dimensional $L_\mu-L_\tau$ gauge interactions in the light of elastic neutrino-electron scatterings: The scope of the DUNE near detector

TL;DR

This paper explores how a five-dimensional $L_-_ au$ gauge model can be tested via elastic neutrino-electron scattering at DUNE, potentially probing muon g-2 anomalies with upcoming experimental data.

Contribution

It introduces a five-dimensional $L_-_ au$ gauge extension and assesses its detectability through DUNE's near detector, including interference effects and extra dimension scenarios.

Findings

DUNE can probe much of the parameter space relevant to muon g-2.

Interference effects between gauge bosons are significant.

Both flat and warped extra dimension models are considered.

Abstract

We discuss the future prospects of a minimally five-dimensional version of the well-motivated scenario for addressing the discrepancy in the muon anomalous magnetic moment, the $U(1)_{L_\mu - L_\tau}$ extension of the standard model (SM) gauge symmetry. Here, multiple associated massive gauge bosons appear thanks to the five-dimensional $U(1)_{L_\mu - L_\tau}$ gauge symmetry, and they contribute to the muon $(g-2)$ and also other processes. We focus on the powerful probe of elastic neutrino-electron scatterings since the upcoming DUNE experiment will explore MeV-scale uncharted regions by previous experiments (e.g., CHARM-II and Borexino) in the near future. We found that even with small kinetic mixing parameters, much of the parameter space, including those satisfying muon $(g-2)$, can be probed using several years of data from the DUNE experiment, focusing on the near detector. In our scenario, interference effects between intermediate-state gauge bosons play an important role. Our results include comparisons between flat and warped extra dimensions.