Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a $U(1{)}_{L_{\mu }-L_{\tau }}$ Model

Abstract

The observation of neutrino masses, mixing and the existence of dark matter are amongst the most important signatures of physics beyond the Standard Model (SM). In this paper, we propose to extend the SM by a local $L_{\mu }-L_{\tau }$ gauge symmetry, two additional complex scalars and three right-handed neutrinos. The $L_{\mu }-L_{\tau }$ gauge symmetry is broken spontaneously when one of the scalars acquires a vacuum expectation value. The $L_{\mu }-L_{\tau }$ gauge symmetry is known to be anomaly free and can explain the beyond SM measurement of the anomalous muon $(\mathrm{g}-2)$ through additional contribution arising from the extra $Z_{\mu \tau }$ mediated diagram. Small neutrino masses are explained naturally through the Type-I seesaw mechanism, while the mixing angles are predicted to be in their observed ranges due to the broken $L_{\mu }-L_{\tau }$ symmetry. The second complex scalar is shown to be stable and becomes the dark matter candidate in our model. We show that while the $Z_{\mu \tau }$ portal is ineffective for the parameters needed to explain the anomalous muon $(\mathrm{g}-2)$ data, the correct dark matter relic abundance can easily be obtained from annihilation through the Higgs portal. Annihilation of the scalar dark matter in our model can also explain the Galactic Centre gamma ray excess observed by Fermi-LAT. We show the predictions of our model for future direct detection experiments and neutrino oscillation experiments.

33 pages, 12 figures, 3 Tables, Version accepted for publication in JHEP

References in corpus (72)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• A Universal Density Profile from Hierarchical Clustering
• Dynamics of dark energy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Evidence for oscillation of atmospheric neutrinos
• The Large Area Telescope on the Fermi Gamma-ray Space Telescope Mission
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Weak Gravitational Lensing
• Verifiable Radiative Seesaw Mechanism of Neutrino Mass and Dark Matter
• The Muon g-2
• Rotation Curves of Spiral Galaxies
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Dark Matter Annihilation in The Galactic Center As Seen by the Fermi Gamma Ray Space Telescope
• micrOMEGAs3.1 : a program for calculating dark matter observables
• Neutralino Relic Density including Coannihilations
• Update on scalar singlet dark matter
• Search for Low-Mass WIMPs with SuperCDMS
• The non-gravitational interactions of dark matter in colliding galaxy clusters
• The Characterization of the Gamma-Ray Signal from the Central Milky Way: A Compelling Case for Annihilating Dark Matter
• Z-prime Gauge Bosons at the Tevatron
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Detection of a Gamma-Ray Source in the Galactic Center Consistent with Extended Emission from Dark Matter Annihilation and Concentrated Astrophysical Emission
• Background model systematics for the Fermi GeV excess
• Fermi-LAT Observations of High-Energy Gamma-Ray Emission Toward the Galactic Center
• Improved Limits on Scattering of Weakly Interacting Massive Particles from Reanalysis of 2013 LUX data
• Search for high-mass dilepton resonances in pp collisions at sqrt(s) = 8 TeV with the ATLAS detector
• Strong support for the millisecond pulsar origin of the Galactic center GeV excess
• Probing the Standard Model with Higgs signal rates from the Tevatron, the LHC and a future ILC
• Evidence for Unresolved Gamma-Ray Point Sources in the Inner Galaxy
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• Neutrino masses and mixings: Status of known and unknown $3\nu$ parameters
• First measurement of electron neutrino appearance in NOvA
• The Minimal Set of Electroweak Precision Parameters
• Observation of Energy and Baseline Dependent Reactor Antineutrino Disappearance in the RENO Experiment
• Measurement of the Reactor Antineutrino Flux and Spectrum at Daya Bay
• Muon Anomalous $g-2$ and Gauged $L_{\mu }-L_{\tau }$ Models
• Anatomy and Phenomenology of mu-tau Lepton Flavour Violation in the MSSM
• Gauged $L_{\mu }-L_{\tau }$ with Large Muon Anomalous Magnetic Moment and the Bimaximal Mixing of Neutrinos
• A comment on the emission from the Galactic Center as seen by the Fermi telescope
• A review of mu-tau flavor symmetry in neutrino physics
• The muon anomalous magnetic moment and a new light gauge boson
• LanHEP - a package for the automatic generation of Feynman rules in field theory. Version 3.0
• Broken mu-tau Symmetry and Leptonic CP Violation
• WIMPs at the Galactic Center
• Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
• First measurement of muon-neutrino disappearance in NOvA
• A Flavor Symmetry for quasi-degenerate Neutrinos: L_mu-L_tau
• Phenomenology of $U(1{)}_{L_{\mu }-L_{\tau }}$ charged dark matter at PAMELA/FERMI and colliders
• μ-τSymmetry and Maximal CP Violation
• Flavour Dependent Gauged Radiative Neutrino Mass Model
• mu-tau Interchange symmetry and lepton mixing
• Mu-tau neutrino refraction and collective three-flavor transformations in supernovae
• Nonthermal Two Component Dark Matter Model for Fermi-LAT $\gamma$-ray excess and 3.55 keV X-ray Line
• Lepton-Flavored Dark Matter
• 'Mu-Tau' symmetry, tribimaximal mixing and four zero neutrino Yukawa textures
• The Real Gauge Singlet Scalar Extension of Standard Model: A Possible Candidate of Cold Dark Matter
• Reconciling the Muon g-2 and Dark Matter Relic Density with the LHC Results in Nonuniversal Gaugino Mass Models
• Dark matter and muon $(g-2)$ in local $U(1{)}_{L_{\mu }-L_{\tau }}$-extended Ma Model
• A Generic Diagonalization of the 3X3 Neutrino Mass Matrix and Its Implications on the mu-tau Flavor Symmetry and Maximal CP Violation
• A New Type of Complex Neutrino Mass Texture and mu-tau Symmetry
• Soft breaking of $L_{\mu }-L_{\tau }$ symmetry: Light neutrino spectrum and Leptogenesis
• What Does mu-tau Symmetry Imply about Neutrino Mixings?
• A Supersymmetric Contribution to the Neutrino Mass Matrix and Breaking of mu-tau Symmetry
• Mu-tau antisymmetry and neutrino mass matrices
• Scaling in the Neutrino Mass Matrix, mu-tau Symmetry and the See-Saw Mechanism
• Galactic center GeV gamma-ray excess from dark matter with gauged lepton numbers
• Masses, mixing angles and phases of general Majorana neutrino mass matrix
• Galactic Gamma Ray Excess and Dark Matter Phenomenology in a $U(1{)}_{B-L}$ Model
• Two Higgs Doublet Type III Seesaw with mu-tau symmetry at LHC
• Flavor Symmetry L_mu - L_tau and quasi-degenerate Neutrinos
• mu-tau symmetry in Zee-Babu model

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• Low scale seesaw models for low scale $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry
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• Light dark matter, rare $B$ decays with missing energy in $L_{\mu }-L_{\tau }$ model with a scalar leptoquark
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• Neutrino and $Z^{\prime }$ phenomenology in an anomaly-free $\mathbf{U}(1)$ extension: role of higher-dimensional operators
• Probing the $L_{\mu }-L_{\tau }$ gauge boson at electron colliders
• Dark Matter in the Type Ib Seesaw Model
• Dark side of the Seesaw
• Neutrino mass, mixing and muon $g-2$ explanation in $U(1{)}_{L_{\mu }-L_{\tau }}$ extension of left-right theory
• Thermally corrected masses and freeze-in dark matter: a case study
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• $(g-2{)}_{e,\mu }$ and strongly interacting dark matter with collider implications
• Inverse seesaw and dark matter in a gauged $\mathrm{B}-\mathrm{L}$ extension with flavour symmetry
• The signatures of the new particles $h_2$ and $Z_{\mu \tau }$ at e-p colliders in the $U(1{)}_{L_{\mu }-L_{\tau }}$ model
• Constraining $U(1{)}_{L_{\mu }-L_{\tau }}$ charged dark matter model for muon $g-2$ anomaly with AMS-02 electron and positron data
• Scalar dark matter and Muon $g-2$ in a $U(1{)}_{L_{\mu }-L_{\tau }}$ model
• Leptophilic $Z^{\prime }$ bosons at the FCC-ee: discovery opportunities
• Muon ($g-2$) in $U(1{)}_{L_{\mu }-L_{\tau }}$ Scotogenic Model Extended with Vector like Fermion
• Searching for the light leptophilic gauge boson $Z_x$ via four-lepton final states at the CEPC
• Flipped $U(1)$ extended Standard Model and Majorana dark matter
• 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
• Rotated $\mu$\,--\,$\tau$ Symmetry for One Generic Neutrino Mixing Angle: An analytical Study
• Exploring the Null Results in the Direct Detection Experiments, $(g-2{)}_{\ell }$ and Neutrino Mass in an Extended $U(1{)}_{L_{\mu }-L_{\tau }}$ Model Constrained through the $Z\to {\ell }^{+}{\ell }^{-}$ Decays
• Neutrino specific spin-3/2 dark matter
• Search for light gauge boson $Z_{\mu \tau }^{}$ via $t\bar{t}{h}_1^{}$ production at LHC
• Muon Beam Dump Experiments probe five-dimensional nature of $U(1{)}_{L_{\mu }-L_{\tau }}$
• Constraining the heavy leptophilic neutral gauge bosons through the $Z\to {\ell }^{+}{\ell }^{-}$, $W^{\pm }\to {\ell }^{\pm }{\nu }_{\ell }$, and $h\to {\ell }^{+}{\ell }^{-}$ decays