Minimal Gauged U(1)${}_{L_{\alpha }-L_{\beta }}$ Models Driven into a Corner

Abstract

It is well known that the differences between the lepton numbers can be gauged with the Standard Model matter content. Such extended gauge theories, dubbed as the gauged U(1)${}_{L_{\alpha }-L_{\beta }}$ models, have been widely discussed so far as potential candidates for physics beyond the Standard Model. In this work, we study the minimal versions of these gauge theories, where three right-handed neutrinos as well as a single U(1)${}_{L_{\alpha }-L_{\beta }}$ symmetry breaking Higgs field---an SU(2)${}_L$ singlet or doublet---are introduced. In these minimal models, the neutrino mass terms are constrained by the gauge symmetry, which result in the two-zero texture or two-zero minor structure of neutrino mass matrices. Such restrictive forms of neutrino mass matrices lead to non-trivial predictions for the neutrino oscillation parameters as well as the size of the mass eigenvalues. We find that due to this restriction the minimal gauged U(1)${}_{L_{\alpha }-L_{\beta }}$ models are either incompatible with the observed values of the neutrino parameters or in strong tension with the Planck 2018 limit on the sum of the neutrino masses. Only the U(1)${}_{L_{\mu }-L_{\tau }}$ model with an SU(2)${}_L$ singlet U(1)${}_{L_{\mu }-L_{\tau }}$-breaking field barely evades the limit, which can be tested in the future neutrino experiments.

25 pages, 7 figures

References in corpus (81)

• Planck 2015 results. XIII. Cosmological parameters
• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• The Muon g-2
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• (g-2)_mu and alpha(M_Z^2) re-evaluated using new precise data
• Searches for Lepton Flavor Violation in the Decays tau -> e gamma and tau -> mu gamma
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Precision measurement of the 7Be solar neutrino interaction rate in Borexino
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Search for Lepton Flavor Violating Tau Decays into Three Leptons with 719 Million Produced Tau+Tau- Pairs
• 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 $L_{\mu }-L_{\tau }$
• Dressing L_mu - L_tau in Color
• Zeroes of the Neutrino Mass Matrix
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Hunting All the Hidden Photons
• Texture Zeros and Majorana Phases of the Neutrino Mass Matrix
• Muon Anomalous $g-2$ and Gauged $L_{\mu }-L_{\tau }$ Models
• Gauged L_mu - L_tau Symmetry at the Electroweak Scale
• Gauged $L_{\mu }-L_{\tau }$ with Large Muon Anomalous Magnetic Moment and the Bimaximal Mixing of Neutrinos
• Search for a muonic dark force at BABAR
• Search for CP violation in Neutrino and Antineutrino Oscillations by the T2K experiment with $2.2\times 10^{21}$ protons on target
• New constraints on oscillation parameters from ${\nu }_e$ appearance and ${\nu }_{\mu }$ disappearance in the NOvA experiment
• Model for a Light Z' Boson
• Measurement of neutrino and antineutrino oscillations by the T2K experiment including a new additional sample of ${\nu }_e$ interactions at the far detector
• Constraints on Oscillation Parameters from ${\nu }_e$ Appearance and ${\nu }_{\mu }$ Disappearance in NOvA
• Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries
• Discovery probability of next-generation neutrinoless double-$\beta$ decay experiments
• A Flavor Symmetry for quasi-degenerate Neutrinos: L_mu-L_tau
• Zeros of the inverted neutrino mass matrix
• Self-interacting dark matter and muon $g-2$ in a gauged U$(1{)}_{L_{\mu }-L_{\tau }}$ model
• See-Saw Realization of the Texture Zeros in the Neutrino Mass Matrix
• A Full Determination of the Neutrino Mass Spectrum from Two-zero Textures of the Neutrino Mass Matrix
• Search for the Lepton Flavour Violating Decay ${\mu }^{+}\to e^{+}\gamma$ with the Full Dataset of the MEG Experiment
• Detecting the $L_{\mu }-L_{\tau }$ gauge boson at Belle II
• Zero minors of the neutrino mass matrix
• A search for two body muon decay signals
• A $L_{\mu }-L_{\tau }$ theory of Higgs flavor violation and $(g-2{)}_{\mu }$
• Z'-induced FCNC decays of top, beauty and strange quarks
• Let there be Light Dark Matter: The gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ case
• Muon g-2 and LHC phenomenology in the $L_{\mu }-L_{\tau }$ gauge symmetric model
• Probing the muon g_μ-2 anomaly, L_μ - L_τ gauge boson and Dark Matter in dark photon experiments
• MeV scale leptonic force for cosmic neutrino spectrum and muon anomalous magnetic moment
• 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
• Predictions for the neutrino parameters in the minimal gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model
• Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ model in light of muon $g-2$ anomaly, neutrino mass and dark matter phenomenology
• Lepton Flavorful Fifth Force and Depth-dependent Neutrino Matter Interactions
• Dark matter contribution to $b\to s{\mu }^{+}{\mu }^{-}$ anomaly in local $U(1{)}_{L_{\mu }-L_{\tau }}$ model
• On the possibility of search for $L_{\mu }-L_{\tau }$ gauge boson at Belle-II and neutrino beam experiments
• The Dark $L_{\mu }-L_{\tau }$ Rises via Kinetic Mixing
• FIMP and Muon ($g-2$) in a U$(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Loophole in K --> pi nu nubar Search and New Weak Leptonic Forces
• Collider limits on leptophilic interactions
• $B$-meson anomalies and Higgs physics in flavored $U(1{)}^{\prime }$ model
• Dark matter and muon $(g-2)$ in local $U(1{)}_{L_{\mu }-L_{\tau }}$-extended Ma Model
• A Light Higgs at the LHC and the B-Anomalies
• A minimal flavored $U(1{)}^{\prime }$ for $B$-meson anomalies
• Searching for $Z^{{}^{\prime }}$ Gauge Boson in an Anomaly-Free U(1)${}^{\prime }$ Gauge Family Model
• Discrete Flavor Symmetries and Mass Matrix Textures
• Flavor Non-universality Gauge Interactions and Anomalies in B-Meson Decays
• Constraints on $L_{\mu }-L_{\tau }$ Gauge Interactions from Rare Kaon Decay
• Dark Matter in Anomaly-Free Gauge Extensions
• Galactic center GeV gamma-ray excess from dark matter with gauged lepton numbers
• Constraints on $L_{\mu }-L_{\tau }$ interactions at the LHC and beyond
• Searching for Flavored Gauge Bosons
• Neutrino mass generation with large $SU(2{)}_L$ multiplets under local $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry
• Generalized Gauge U(1) Family Symmetry for Quarks and Leptons
• $L_{\mu }-L_{\tau }$ gauge-boson production from lepton flavor violating $\tau$ decays at Belle II
• Zee-Babu type model with $U(1{)}_{L_{\mu }-L_{\tau }}$ gauge symmetry
• Radiatively Induced Neutrino Mass Model with Flavor Dependent Gauge Symmetry
• Supersymmetric gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model for neutrinos and the muon $(g-2)$ anomaly
• Explaining the 3.5 keV X-ray Line in a $L_{\mu }-L_{\tau }$ Extension of the Inert Doublet Model
• Signatures of supersymmetry and a $L_{\mu }-L_{\tau }$ gauge boson at Belle-II
• Using the (Modified) Matrix Element Method to constrain $L_{\mu }-L_{\tau }$ Interactions
• Search for $t{Z}^{\prime }$ associated production induced by $tc{Z}^{\prime }$ couplings at the LHC
• Model with a gauged lepton flavor SU(2) symmetry
• Gauged $L_{\mu }$-$L_{\tau }$ Model with an Inverse Seesaw Mechanism for Neutrino Masses
• Consequences of an Abelian $Z^{\prime }$ for neutrino oscillations and dark matter
• Neutrino mass in a gauged $L_{\mu }-L_{\tau }$ model

Cited by in corpus (49)

• Neutrino Non-Standard Interactions: A Status Report
• Relaxing Cosmological Neutrino Mass Bounds with Unstable Neutrinos
• A Model of Muon Anomalies
• Solar neutrino probes of the muon anomalous magnetic moment in the gauged $U(1{)}_{L_{\mu }-L_{\tau }}$
• Discovering leptonic forces using non-conserved currents
• Probing muonic forces with neutron star binaries
• 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
• MUonE sensitivity to new physics explanations of the muon anomalous magnetic moment
• Search for U(1)${}_{L_{\mu }-L_{\tau }}$ charged Dark Matter with neutrino telescope
• A Consistent Theory of Kinetic Mixing and the Higgs Low-Energy Theorem
• On the Flavour Structure of Anomaly-free Hidden Photon Models
• On $(g-2{)}_{\mu }$ From Gauged $\mathrm{U}(1{)}_X$
• Leptophilic Gauge Bosons at ILC Beam Dump Experiment
• $U(1{)}_{L_{\mu }-L_{\tau }}$ for Light Dark Matter, $g_{\mu }-2$, the $511$ keV excess and the Hubble Tension
• A 2HDM for the g-2 and Dark Matter
• Low scale seesaw models for low scale $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry
• Leptogenesis in the minimal gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model and the sign of the cosmological baryon asymmetry
• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• A $\mu$-$\tau$-philic scalar doublet under $Z_n$ flavor symmetry
• Generalised $\mu$-$\tau$ symmetries and calculable gauge kinetic and mass mixing in $U(1{)}_{L_{\mu }-L_{\tau }}$ models
• Constraints on $U(1{)}_{L_{\mu }-L_{\tau }}$ from LHC Data
• Anomaly-free $U(1{)}^m$ extensions of the Standard Model
• Search for $Z^{{}^{\prime }}\to {\mu }^{+}{\mu }^{-}$ in the $L_{\mu }-L_{\tau }$ gauge-symmetric model at Belle
• Probing New Physics in the Vector-like Lepton Model by Lepton Electric Dipole Moments
• Muon $g-2$ and non-thermal leptogenesis in $U(1{)}_{L_{\mu }-L_{\tau }}$ model
• Muon $g-2$ in $U(1{)}_{\mu -\tau }$ Symmetric Gauged Radiative Neutrino Mass Model
• Thermal Leptogenesis in the Minimal Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Model
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• New method for non-standard invisible particle searches in tau lepton decays
• Leptophilic Gauge Bosons at Lepton Beam Dump Experiments
• Kinematical distributions of coherent neutrino trident production in gauged $L_{\mu }-L_{\tau }$ model
• Flavor-dependent $U(1)$ extension inspired by lepton, baryon and color numbers
• 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
• Exploring new physics with DUNE high energy flux: the case of Lorentz Invariance Violation, Large Extra Dimensions and Long Range Forces
• Scalar Dark Matter with a $\mu \tau$ Flavored Mediator
• Long-lived Sterile Neutrino Searches at Future Muon Colliders
• Neutrinophilic DM annihilation in a model with $U(1{)}_{L_{\mu }-L_{\tau }}\times U(1{)}_H$ gauge symmetry
• Models of decaying FIMP Dark Matter: potential links with the Neutrino Sector
• A multi-charged particle model with local $U(1{)}_{\mu -\tau }$ to explain muon $g-2$, flavor physics, and possible collider signature
• 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
• Hidden relations in three generation seesaw model with Dirac mass matrix of four-zero texture
• Neutrino observables in gauged $U(1{)}_{L_{\alpha }-L_{\beta }}$ models with two Higgs doublet and one singlet scalars
• Machine Learning Optimized Search for the $Z^{\prime }$ from $U(1{)}_{L_{\mu }-L_{\tau }}$ at the LHC
• New Constraints on Gauged U(1)${}_{L_{\mu }-L_{\tau }}$ Models via $Z-Z^{\prime }$ Mixing
• Explaining lepton-flavor non-universality and self-interacting dark matter with $L_{\mu }-L_{\tau }$
• Kinematical Observables in Semi-Invisible Decays
• Quasi two-zero texture in Type-II seesaw at fixed points from modular $A_4$ symmetry
• Probing Long-Range Forces in Neutrino Oscillations at the ESSnuSB Experiment
• Muon Beam Dump Experiments probe five-dimensional nature of $U(1{)}_{L_{\mu }-L_{\tau }}$