Kinematical distributions of coherent neutrino trident production in gauged $L_\mu-L_\tau$ model

TL;DR

This paper studies the energy, angle, and mass distributions in muonic neutrino trident production within a gauged $L_-$ model, aiming to distinguish new physics parameters beyond total cross section measurements.

Contribution

It provides a detailed analysis of kinematic distributions to differentiate new physics parameters in neutrino trident production, which are indistinguishable by total cross sections alone.

Findings

Muon energy and invariant mass distributions vary with new physics parameters.

Anti-muon energy and opening angle distributions are insensitive to parameter changes.

Distributions can help resolve degeneracies in model parameters.

Abstract

We analyze the distributions of energy, opening angle and invariant mass in muonic neutrino trident production processes, $\nu_\mu \to \nu_\mu \mu \overline{\mu}$, in a minimal gauged $U(1)_{L_\mu - L_\tau}$ model, in which the discrepancy of anomalous magnetic moment of muon can be solved. It is known that the total cross sections of the neutrino trident production are degenerate in new physics parameters, the new gauge coupling and gauge boson mass, and therefore other observables are needed to determine these parameters. From numerical analyses, we find that the muon energy and invariant mass distributions show the differences among the new physics parameter sets with which the total cross sections have the same value, while the anti-muon energy and opening angle distributions are not sensitive to the parameters.