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.
Highlights
The anomalous magnetic moment of muon is a longstanding discrepancy between experimental measurements [1,2] and theoretical predictions [3,4,5,6]
We find that the muon energy and invariant mass distributions show the differences among the new physics parameter sets with which the total cross section has the same value, while the antimuon energy and opening angle distributions are not sensitive to the parameters
We show the dependence of the total cross section on the new physics parameters g0 and mZ0
Summary
The anomalous magnetic moment of muon is a longstanding discrepancy between experimental measurements [1,2] and theoretical predictions [3,4,5,6]. Light gauge bosons interacting with muonic leptons can contribute to neutrino trident production (NTP) processes such as νμ þ N → νμ þ μ þ μþ N [36,37,38,39,40,41,42,43]. As presented in [13,52,53], the contours of the total cross section of the NTP processes are obtained as a function of new physics parameters, i.e., the mass and coupling constant of the new gauge bosons. This loop-induced kinetic mixing parameter is about two orders of magnitude smaller than g0 for q2 ≪ 4m2μ. MZ0 and g0, are newly introduced to the SM in our setup
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
