Low scale seesaw models for low scale $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry

Abstract

We propose models for neutrino masses and mixing in the framework of low scale $U(1{)}_{L_{\mu }-L_{\tau }}$ gauge extension of the standard model. The models are designed to spontaneously break $U(1{)}_{L_{\mu }-L_{\tau }}$ so that the $U(1{)}_{L_{\mu }-L_{\tau }}$ gauge boson acquires an MeV scale mass, which is required to solve the long-standing problem of muon anomalous magnetic moment. Tiny neutrino masses are obtained by simultaneously invoking the linear and the inverse seesaw mechanism, and we succeed in realizing two types of one-zero textures in the active neutrino mass matrix. Both of the obtained textures favor inverted neutrino mass ordering and are testable in next generation experiments of neutrinoless double beta decay. We also show that some of extra scalar bosons can have MeV scale masses and would have significant impacts on observations of high energy cosmic neutrinos.

arXiv comment23 pages, 5 figures; v2: references added, minor changes, accepted for publication in PRD

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• Relaxing Cosmological Neutrino Mass Bounds with Unstable Neutrinos
• A Model of Muon Anomalies
• Muonic Force Behind Flavor Anomalies
• Sterile neutrino dark matter catalyzed by a very light dark photon
• Resolving the Hubble tension in a U(1)${}_{L_{\mu }-L_{\tau }}$ model with Majoron
• Light vectors coupled to anomalous currents with harmless Wess-Zumino terms
• Distortion of neutrino oscillations by dark photon dark matter
• Kinematical distributions of coherent neutrino trident production in gauged $L_{\mu }-L_{\tau }$ model
• Gauging lepton flavor SU(3) for the muon $g-2$
• 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
• Neutrino observables in gauged $U(1{)}_{L_{\alpha }-L_{\beta }}$ models with two Higgs doublet and one singlet scalars