Neutrino mass, mixing and muon $g-2$ explanation in $U(1{)}_{L_{\mu }-L_{\tau }}$ extension of left-right theory

Abstract

We consider a gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ extension of the left-right symmetric theory in order to simultaneously explain neutrino mass, mixing and the muon anomalous magnetic moment. We get sizeable contribution from the interaction of the new light gauge boson $Z_{\mu \tau }$ of the $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry with muons which can individually satisfy the current bounds on muon $(g-2)$ anomaly ($\Delta a_{\mu }$). The other positive contributions to $\Delta a_{\mu }$ come from the interactions of singly charged gauge bosons $W_L$, $W_R$ with heavy neutral fermions and that of neutral CP-even scalars with muons. The interaction of $W_L$ with heavy neutrino is facilitated by inverse seesaw mechanism which allows large light-heavy neutrino mixing and explains neutrino mass in our model. CP-even scalars with mass around few hundreds GeV can also satisfy the entire current muon anomaly bound. The results show that the model gives a small but non-negligible contribution to $\Delta a_{\mu }$ thereby eliminating the entire deviation in theoretical prediction and experimental result of muon $(g-2)$ anomaly. We have briefly presented a comparative study for symmetric and asymmetric left-right symmetric model in context of various contribution to $\Delta a_{\mu }$. We also discuss how the generation of neutrino mass is affected when left-right symmetry breaks down to Standard Model symmetry via various choices of scalars.

39 pages, 14 figures, 6 tables, matches version accepted for publication in JHEP

References in corpus (34)

• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Non-Standard Neutrino Interactions with Matter from Physics Beyond the Standard Model
• Left-Right Symmetry: from LHC to Neutrinoless Double Beta Decay
• Cosmology With a Very Light $L_{\mu }-L_{\tau }$ Gauge Boson
• CP-violation from non-unitary leptonic mixing
• Lepton flavor violating Z' explanation of the muon anomalous magnetic moment
• Present and Future K and B Meson Mixing Constraints on TeV Scale Left-Right Symmetry
• First Limits on Left-Right Symmetry Scale from LHC Data
• Non-unitary neutrino mixing and CP violation in the minimal inverse seesaw model
• Detecting the $L_{\mu }-L_{\tau }$ gauge boson at Belle II
• Resolving electron and muon $g-2$ within the 2HDM
• TeV Scale Left-Right Symmetry and Large Mixing Effects in Neutrinoless Double Beta Decay
• Leptogenesis with TeV Scale Inverse Seesaw in SO(10)
• Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a $U(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Mind the gap on Icecube: Cosmic neutrino spectrum and muon anomalous magnetic moment in the gauged L_μ - L_τ model
• Extended double seesaw model for neutrino mass spectrum and low scale leptogenesis
• Non-Standard Interaction Effects at Reactor Neutrino Experiments
• Gauged L_mu - L_tau and different Muon Neutrino and Anti-Neutrino Oscillations: MINOS and beyond
• FIMP and Muon ($g-2$) in a U$(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Leptogenesis Constraints on the Mass of Right-handed Gauge Bosons
• Splitting Mass Spectra and Muon g-2 in Higgs-Anomaly Mediation
• Discovering leptonic forces using non-conserved currents
• Discovery and Identification of W' and Z' in SU(2) x SU(2) x U(1) Models at the LHC
• Dark Matter, Muon g-2 and Other SUSY Constraints
• MUonE sensitivity to new physics explanations of the muon anomalous magnetic moment
• Left-right models with light neutrino mass prediction and dominant neutrinoless double beta decay rate
• Observable Lepton Number Violation with Predominantly Dirac Nature of Active Neutrinos
• Simple Left-Right Theory: Lepton Number Violation at the LHC
• Neutrino mass and low-scale leptogenesis in a testable SUSY SO(10) model
• TeV scale Left Right Symmetry with spontaneous D-parity breaking
• Leptogenesis bound on neutrino masses in left-right symmetric models with spontaneous D-parity violation
• Universal Seesaw from Left-Right and Peccei-Quinn Symmetry Breaking
• Neutrinoless Double Beta Decay in LRSM with Natural Type-II seesaw Dominance
• A comparative study of $0\nu \beta \beta$ decay in symmetric and asymmetric left-right model

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