Muon ($g-2$) in $U(1{)}_{L_{\mu }-L_{\tau }}$ Scotogenic Model Extended with Vector like Fermion

Abstract

The latest results of anomalous muon magnetic moment at Fermilab show a discrepancy of 4.2 $\sigma$ between the Standard Model (SM) prediction and experimental value. In this work, we revisit $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry with in the paradigm of scotogenic model which explains muon ($g-2$) and neutrino mass generation, simultaneously. The mass of new gauge boson $M_{Z_{\mu \tau }}$ generated after the spontaneous symmetry breaking of $U(1{)}_{L_{\mu }-L_{\tau }}$ is constrained, solely, in light of the current neutrino oscillation data to explain muon ($g-2$). In particular, we have obtained two regions I and II, around 150 MeV and 500 MeV, respectively, in $M_{Z_{\mu \tau }}-g_{\mu \tau }$ plane which explain the neutrino phenomenology. Region I is found to be consistent with muon neutrino trident (MNT) bound ($g_{\mu \tau }$ $\le$ $10^{-3}$) to explain muon ($g-2$), however, region II violates it for mass range $M_{Z_{\mu \tau }}>300$ MeV. We, then, extend the minimal gauged scotogenic model by a vector like lepton (VLL) triplet ${\psi }_T$. The mixing of ${\psi }_T$ with inert scalar doublet $\eta$ leads to chirally enhanced positive contribution to muon anomalous magnetic moment independent of $Z_{\mu \tau }$ mass. Furthermore, we have, also, investigated the implication of the model for $0\nu \beta \beta$ decay and $CP$ violation. The non-observation of $0\nu \beta \beta$ decay down to the sensitivity of 0.01 eV shall refute the model. The model, in general,is found to be consistent with both $CP$ conserving and $CP$ violating solutions.

arXiv comment19 pages, 8 figures

References in corpus (57)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Verifiable Radiative Seesaw Mechanism of Neutrino Mass and Dark Matter
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Secluded U(1) below the weak scale
• Observation of Coherent Elastic Neutrino-Nucleus Scattering
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Remarks on higher-order hadronic corrections to the muon g-2
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Three-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Hunting All the Hidden Photons
• Muon anomalous magnetic dipole moment in supersymmetric theories
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• First Measurement of Coherent Elastic Neutrino-Nucleus Scattering on Argon
• Search for a muonic dark force at BABAR
• On the improvement of cosmological neutrino mass bounds
• New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code
• Muon g-2 and searches for a new leptophobic sub-GeV dark boson in a missing-energy experiment at CERN
• Neutrino Masses, Lepton Flavor Mixing and Leptogenesis in the Minimal Seesaw Model
• Self-interacting dark matter and muon $g-2$ in a gauged U$(1{)}_{L_{\mu }-L_{\tau }}$ model
• Phenomenology of $U(1{)}_{L_{\mu }-L_{\tau }}$ charged dark matter at PAMELA/FERMI and colliders
• Probing Muonic Forces and Dark Matter at Kaon Factories
• Expectations for the muon g-2 in simplified models with dark matter
• Dark matter assisted lepton anomalous magnetic moments and neutrino masses
• Testing the Muon g-2 Anomaly at the LHC
• Minimal Models for Dark Matter and the Muon g-2 Anomaly
• Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a $U(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Explaining $g-2$ anomalies in two Higgs doublet model with vector-like leptons
• Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ model in light of muon $g-2$ anomaly, neutrino mass and dark matter phenomenology
• Running of Radiative Neutrino Masses: The Scotogenic Model - REVISITED
• Dark matter and muon $(g-2)$ in local $U(1{)}_{L_{\mu }-L_{\tau }}$-extended Ma Model
• Muon $g-2$ in the Aligned Two Higgs Doublet Model
• Testing the 2HDM explanation of the muon g-2 anomaly at the LHC
• Dark matter, neutrino masses and high scale validity of an inert Higgs doublet model
• SuperNEMO double beta decay experiment
• Explaining electron and muon $g-2$ anomalies in an Aligned 2-Higgs Doublet Model with Right-Handed Neutrinos
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• TeV Scale Resonant Leptogenesis with $L_{\mu }-L_{\tau }$ Gauge Symmetry in the Light of Muon $(g-2)$
• Minimal muon anomalous magnetic moment
• A 2HDM for the g-2 and Dark Matter
• Neutrino Masses, Leptonic Flavor Mixing and Muon $(g-2)$ in the Seesaw Model with the $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ Gauge Symmetry
• Muon $g-2$ in a two-Higgs-doublet model with a type-II seesaw mechanism
• Muon g-2 and a type-X two Higgs doublet scenario: some studies in high-scale validity
• Widening the $U(1{)}_{L_{\mu }-L_{\tau }}$ $Z^{\prime }$ mass range for resolving the muon $g-2$ anomaly
• Neutrino mass, mixing and muon $g-2$ explanation in $U(1{)}_{L_{\mu }-L_{\tau }}$ extension of left-right theory
• Muon $g-2$ in $U(1{)}_{\mu -\tau }$ Symmetric Gauged Radiative Neutrino Mass Model

Cited by in corpus (1)

• The Decomposition of Neutron-Antineutron Oscillation Operators