Model with a gauged lepton flavor SU(2) symmetry

Abstract

We propose a model having a gauged $SU(2)$ symmetry associated with the second and third generations of leptons, dubbed $SU(2{)}_{\mu \tau }$, of which $U(1{)}_{L_{\mu }-L_{\tau }}$ is an Abelian subgroup. In addition to the Standard Model fields, we introduce two types of scalar fields. One exotic scalar field is an $SU(2{)}_{\mu \tau }$ doublet and SM singlet that develops a nonzero vacuum expectation value at presumably multi-TeV scale to completely break the $SU(2{)}_{\mu \tau }$ symmetry, rendering three massive gauge bosons. At the same time, the other exotic scalar field, carrying electroweak as well as $SU(2{)}_{\mu \tau }$ charges, is induced to have a nonzero vacuum expectation value as well and breaks mass degeneracy between the muon and tau. We examine how the new particles in the model contribute to the muon anomalous magnetic moment in the parameter space compliant with the Michel decays of tau.

21 pages, 13 figures

References in corpus (4)

• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Lepton flavor violating Z' explanation of the muon anomalous magnetic moment
• Predictions for the neutrino parameters in the minimal gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model
• Muon specific two-Higgs-doublet model

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• Low scale seesaw models for low scale $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry
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• Constraining $U(1{)}_{L_{\mu }-L_{\tau }}$ charged dark matter model for muon $g-2$ anomaly with AMS-02 electron and positron data
• Search for $Z^{\prime }$ pair production from scalar boson decay in minimal $U(1{)}_{L_{\mu }-L_{\tau }}$ model at the LHC
• Gauging lepton flavor SU(3) for the muon $g-2$
• Scalar Dark Matter with a $\mu \tau$ Flavored Mediator
• Collider probe of heavy additional Higgs bosons solving the muon $g-2$ and dark matter problems
• Gauge $SU(2{)}_f$ flavour transfers