On the possibility of search for $L_\mu - L_\tau$ gauge boson at Belle-II and neutrino beam experiments

TL;DR

This paper explores the potential to detect a light, weakly interacting $L_ - L_ au$ gauge boson at Belle-II and neutrino experiments, highlighting feasible parameter regions and experimental signatures.

Contribution

It introduces the effects of kinetic mixing at tree-level and evaluates the discovery prospects at Belle-II and neutrino beam experiments for the first time.

Findings

Search for one photon plus missing energy is promising at Belle-II.

Neutrino trident production can probe the gauge boson in neutrino experiments.

Allowed parameter regions are identified based on current constraints.

Abstract

We study the possibilities on the search of the light and weakly interacting gauge boson in the gauged $L_\mu - L_\tau$ model. Introducing the kinetic mixing at the tree-level, the allowed parameter regions for the gauge coupling and kinetic mixing parameter are presented. Then, we analyze one photon plus missing event within the allowed region and show that search for the light gauge boson will be possible at Belle-II experiment. We also analyze neutrino trident production process in neutrino beam experiments.