Neutrino Masses, Leptonic Flavor Mixing and Muon $(g-2)$ in the Seesaw Model with the $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ Gauge Symmetry

Abstract

The latest measurements of the anomalous muon magnetic moment $a_{\mu }^{}\equiv (g_{\mu }^{}-2)/2$ show a $4.2\sigma$ discrepancy between the theoretical prediction of the Standard Model and the experimental observations. In order to account for such a discrepancy, we consider a possible extension of the type-(I+II) seesaw model for neutrino mass generation with a gauged $L_{\mu }^{}-L_{\tau }^{}$ symmetry. By explicitly constructing an economical model with only one extra scalar singlet, we demonstrate that the gauge symmetry $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ and its spontaneous breaking are crucially important not only for explaining the muon $(g-2)$ result but also for generating neutrino masses and leptonic flavor mixing. Various phenomenological implications and experimental constraints on the model parameters are also discussed.

23 pages, 3 figures, 1 table, typos corrected, more references added, to appear in Chin. Phys. C

References in corpus (28)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Measurement of the fine-structure constant as a test of the Standard Model
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Cosmology With a Very Light $L_{\mu }-L_{\tau }$ Gauge Boson
• Light-by-light scattering sum rules in light of new data
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries
• Supernova Muons: New Constraints on Z' Bosons, Axions, and ALPs
• Detecting the $L_{\mu }-L_{\tau }$ gauge boson at Belle II
• Supersymmetric Interpretation of the Muon $g-2$ Anomaly
• Dark matter assisted lepton anomalous magnetic moments and neutrino masses
• Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a $U(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Flavour Dependent Gauged Radiative Neutrino Mass Model
• The contribution of fermionic seesaws to the anomalous magnetic moment of leptons
• Muon $(g-2)$ and XENON1T Excess with Boosted Dark Matter in $L_{\mu }-L_{\tau }$ Model
• Inelastic Fermion Dark Matter Origin of XENON1T Excess with Muon $(g-2)$ and Light Neutrino Mass
• An explanation for the muon and electron $g-2$ anomalies and dark matter
• $(g-2)$ anomalies and neutrino mass
• Explanations for anomalies of muon anomalous magnetic dipole moment, $b\to s\mu \bar{\mu }$ and radiative neutrino masses in a leptoquark model
• Radiative Seesaw Mechanism for Charged Leptons
• Probing the $L_{\mu }-L_{\tau }$ gauge boson at electron colliders
• Neutrino mass, mixing and muon $g-2$ explanation in $U(1{)}_{L_{\mu }-L_{\tau }}$ extension of left-right theory
• Neutrino Hierarchies from a Gauge Symmetry
• Probing new physics scenarios of muon $g-2$ via $J/\psi$ decay at BESIII

Cited by in corpus (9)

• Scotogenic $U(1{)}_{L_{\mu }-L_{\tau }}$ origin of $(g-2{)}_{\mu }$, W-mass anomaly and 95 GeV excess
• Phenomenology of Scalar Leptoquarks at the LHC in Explaining the Radiative Neutrino Mass, Muon $g-2$ and Lepton Flavour Violating Observables
• General Kinetic Mixing in Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Model for Muon $g-2$ and Dark Matter
• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• General Remarks on the One-loop Contributions to the Muon Anomalous Magnetic Moment
• Muon $(g-2)$ and Flavor Puzzles in the $U(1{)}_X^{}$-gauged Leptoquark Model
• Muon ($g-2$) in $U(1{)}_{L_{\mu }-L_{\tau }}$ Scotogenic Model Extended with Vector like Fermion
• Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Symmetry and two-zero Textures of Inverse Neutrino Mass Matrix in light of Muon ($g-2$)
• Fractionary Charged Particles Confronting Lepton Flavor Violation and the Muon's Anomalous Magnetic Moment