A $L_{\mu }-L_{\tau }$ theory of Higgs flavor violation and $(g-2{)}_{\mu }$

Abstract

Several experiments reported hints for the violation of lepton flavor or lepton flavor universality in processes involving muons. Most prominently, there is the hint for a non-zero rate of the flavor violating Higgs decay $h\to \tau \mu$ at the LHC, as well as the hint for lepton flavor universality violation in rare $B$ meson decays at LHCb. In addition, also the long standing discrepancy in the anomalous magnetic moment of the muon motivates new physics connected to muons. A symmetry which violates lepton flavor universality, is $L_{\mu }-L_{\tau }$: the difference of muon-number and tau-number. We show that adding vector-like fermions to a $L_{\mu }-L_{\tau }$ theory generates naturally an effect in the anomalous magnetic moment of the muon and $h\to \tau \mu$, while effects in other $\tau \to \mu$ transitions are systematically suppressed by symmetry arguments. We find that if $L_{\mu }-L_{\tau }$ is gauged it is possible to also accommodate the discrepant $b\to s\mu \mu$ data while predicting a $\tau \to 3\mu$ and a modified $h\to \mu \mu$ rate within reach of upcoming experiments.

6 pages, 2 figures

References in corpus (24)

• Big-Bang Nucleosynthesis
• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Secluded U(1) below the weak scale
• Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV
• 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
• Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Angular Distributions of B -> K ll Decays
• Status of the Higgs Singlet Extension of the Standard Model after LHC Run 1
• The Muon Magnetic Moment and Supersymmetry
• On the impact of power corrections in the prediction of B->K*mu+mu- observables
• Family non-universal Z' models with protected flavor-changing interactions
• On the anomalies in the latest LHCb data
• Limiting two-Higgs-doublet models
• Lepton universality violation and lepton flavor conservation in $B$-meson decays
• Higgs $\to \mu \tau$ in Abelian and Non-Abelian Flavor Symmetry Models
• Global fits to b -> s ll data and signs for lepton non-universality
• Explaining the CMS Higgs flavor violating decay excess
• Search for a standard model-like Higgs boson in the mu+ mu- and e+ e- decay channels at the LHC
• A light pseudoscalar of 2HDM confronted with muon g-2 and experimental constraints
• Higgs $\to$ $\mu \tau$ as an indication for $S_4$ flavor symmetry
• Collider limits on leptophilic interactions
• Minimal Models of Loop-Induced Higgs Lepton Flavor Violation

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• Complete Vector-like Fourth Family and new $\mathrm{U}(1{)}^{\prime }$ for Muon Anomalies
• Implications for New Physics in $b\to s\mu \mu$ transitions after recent measurements by Belle and LHCb
• Flavourful $Z^{\prime }$ portal for vector-like neutrino Dark Matter and $R_{K^{(\ast )}}$
• Minimal Gauged U(1)${}_{L_{\alpha }-L_{\beta }}$ Models Driven into a Corner
• Explaining $b\to s{\ell }^{+}{\ell }^{-}$ and the Cabibbo Angle Anomaly with a Vector Triplet
• Predictions for the neutrino parameters in the minimal gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model
• A "Vector-like chiral" fourth family to explain muon anomalies
• Flavor anomalies and dark matter in SUSY with an extra U(1)
• The Dark $L_{\mu }-L_{\tau }$ Rises via Kinetic Mixing
• Unveiling Hidden Physics at the LHC
• Combined search for light dark matter with electron and muon beams at NA64
• Global Analysis of Leptophilic Z' Bosons
• Combined Explanation of the $Z\to b\bar{b}$ Forward-Backward Asymmetry, the Cabibbo Angle Anomaly, $\tau \to \mu \nu \nu$ and $b\to s{\ell }^{+}{\ell }^{-}$ Data
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• Predictions for the neutrino parameters in the minimal model extended by linear combination of U(1)${}_{L_e-L_{\mu }}$, U(1)${}_{L_{\mu }-L_{\tau }}$ and U(1)${}_{B-L}$ gauge symmetries
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• Electron and muon $g-2$, radiative neutrino mass, and ${\ell }^{\prime }\to \ell \gamma$ in a $U(1{)}_{e-\mu }$ model
• TeV Scale Resonant Leptogenesis with $L_{\mu }-L_{\tau }$ Gauge Symmetry in the Light of Muon $(g-2)$
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• Higgs lepton flavor violating decays in Two Higgs Doublet Models
• Evaporation Barrier for Dark Matter in Celestial Bodies
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• Science Case for the new High-Intensity Muon Beams HIMB at PSI
• Supersymmetric gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model for neutrinos and the muon $(g-2)$ anomaly
• Probing $L_{\mu }-L_{\tau }$ models with CE$\nu$NS: A new look at the combined COHERENT CsI and Ar data
• Flavor Physics and CP Violation
• Dark CP Violation and Gauged Lepton/Baryon Number for Electroweak Baryogenesis
• Signatures of supersymmetry and a $L_{\mu }-L_{\tau }$ gauge boson at Belle-II
• Flavor techniques for LFV processes: Higgs decays in a general seesaw model
• Towards excluding a light $Z^{\prime }$ explanation of $b\to s{\ell }^{+}{\ell }^{-}$
• Probing sterile neutrinos in the framework of inverse seesaw mechanism through leptoquark productions
• Explaining Atomki anomaly and muon $g-2$ in $U(1{)}_X$ extended flavour violating two Higgs doublet model
• Quark-Lepton Connections in $Z^{\prime }$ Mediated FCNC Processes: Gauge Anomaly Cancellations at Work
• Light, Long-Lived $B-L$ Gauge and Higgs Bosons at the DUNE Near Detector
• Influence of an inert charged Higgs boson on the muon $g-2$ and radiative neutrino masses in a scotogenic model
• $W$ mass in a model with vector-like leptons and $U(1{)}^{\prime }$
• Probing the $L_{\mu }-L_{\tau }$ gauge boson at electron colliders
• Associated $Z^{\prime }$ production in the flavorful $U(1)$ scenario for $R_{K^{(\ast )}}$
• Muon $g-2$ in $U(1{)}_{\mu -\tau }$ Symmetric Gauged Radiative Neutrino Mass Model
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• The Muon Magnetic Moment and Physics Beyond the Standard Model
• LHC Constraints on a $(B-L{)}_3$ Gauge Boson
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• Flavour Anomalies in $b\to s{\ell }^{+}{\ell }^{-}$ Processes - a round table Discussion
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