Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Symmetry and two-zero Textures of Inverse Neutrino Mass Matrix in light of Muon ($g-2$)

Abstract

In the framework of anomaly free $U(1{)}_{L_{\mu }-L_{\tau }}$ model, charged scalar fields give rise to massive gauge boson ($Z_{\mu \tau }$) through spontaneous symmetry breaking. $Z_{\mu \tau }$ leads to one loop contribution to the muon anomalous magnetic moment. These scalar fields may, also, appear in the structure of right-handed neutrino mass matrix, thus, connecting the possible explanation of muon ($g-2$) and low energy neutrino phenomenology through $vevs$ associated with the scalar fields. In the present work, we consider textures of inverse neutrino mass matrix ($M_{\nu }^{-1}$) wherein any two elements of the mass matrix are zero. In this ansatz, with Dirac neutrino mass matrix diagonal, the zero(s) of right-handed Majorana neutrino mass matrix correspond to zero(s) in the low energy effective neutrino mass matrix (within Type-I seesaw). We have realized two such textures of $M_{\nu }^{-1}$ accommodating the muon ($g-2$) and low energy neutrino phenomenology. The requirement of successful explanation of muon ($g-2$), further, constrain the allowed parameter space of the model and results in sharp correlations amongst neutrino mixing angles, $CP$ invariants and effective Majorana mass ($M_{ee}$). The model explains muon ($g-2$) for $M_{Z_{\mu \tau }}$ in the range ($0.035$ GeV-$0.100$ GeV) and $g_{\mu \tau }\approx \mathcal{O}(10^{-4}$) which is found to be consistent with constraints coming from the experiments like CCFR, COHERENT, BABAR, NA62 and NA64.

arXiv comment13 pages, 5 figures

References in corpus (53)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• 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
• Z-prime Gauge Bosons at the Tevatron
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Bi-Maximal Mixing of Three Neutrinos
• Zeroes of the Neutrino Mass Matrix
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• Texture Zeros and Majorana Phases of the Neutrino Mass Matrix
• The Minimal Set of Electroweak Precision Parameters
• Cosmology With a Very Light $L_{\mu }-L_{\tau }$ Gauge Boson
• Muon Anomalous $g-2$ and Gauged $L_{\mu }-L_{\tau }$ Models
• Search for a muonic dark force at BABAR
• Explanation of the Muon g-2 Anomaly with Vectorlike Leptons and its Implications for Higgs Decays
• The muon anomalous magnetic moment and a new light gauge boson
• On the improvement of cosmological neutrino mass bounds
• Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
• Axion-like particles, lepton-flavor violation and a new explanation of $a_{\mu }$ and $a_e$
• The Elements of the Neutrino Mass Matrix: Allowed Ranges and Implications of Texture Zeros
• The Simplest Neutrino Mass Matrix
• Muon g-2 and searches for a new leptophobic sub-GeV dark boson in a missing-energy experiment at CERN
• 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
• New Barr-Zee contributions to $(\mathbf{g}-2{)}_{\mu }$ in two-Higgs-doublet models
• Probing Muonic Forces and Dark Matter at Kaon Factories
• Supersymmetric Interpretation of the Muon $g-2$ Anomaly
• Three-Neutrino Mass Matrices with Two Texture Zeros
• A light pseudoscalar of 2HDM confronted with muon g-2 and experimental constraints
• Implications of the KamLAND Measurement on the Lepton Flavor Mixing Matrix and the Neutrino Mass Matrix
• Explanation of electron and muon g-2 anomalies in the MSSM
• The simple interpretations of lepton anomalies in the lepton-specific inert two-Higgs-doublet model
• Probing the muon g_μ-2 anomaly, L_μ - L_τ gauge boson and Dark Matter in dark photon experiments
• Phenomenological Implications of a Class of Neutrino Mass Matrices
• Predictions for the neutrino parameters in the minimal gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model
• Hybrid Textures of Neutrinos
• Confirming $U(1{)}_{L_{\mu }-L_{\tau }}$ as a solution for $(g-2{)}_{\mu }$ with neutrinos
• FIMP and Muon ($g-2$) in a U$(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Phenomenological Analysis of Hybrid Textures of Neutrinos
• Cosmological Constraint on Dark Photon from $N_{\mathrm{eff}}$
• Hybrid Textures of Majorana Neutrino Mass Matrix and Current Experimental Tests
• Inelastic Fermion Dark Matter Origin of XENON1T Excess with Muon $(g-2)$ and Light Neutrino Mass
• Neutrino Parameter Space for a Vanishing $ee$ Element in the Neutrino Mass Matrix
• TeV Scale Resonant Leptogenesis with $L_{\mu }-L_{\tau }$ Gauge Symmetry in the Light of Muon $(g-2)$
• Non-zero ${\theta }_{13}$ and CP-violation in inverse neutrino mass matrix
• Searching for Flavored Gauge Bosons
• Muon and Electron $g-2$ and the Origin of Fermion Mass Hierarchy
• 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
• Leptogenesis in the minimal gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model and the sign of the cosmological baryon asymmetry
• Magic neutrino mass model with broken $\mu -\tau$ symmetry and Leptogenesis
• Highly predictive and testable $A_4$ flavor model within type-I and II seesaw framework and associated phenomenology
• Investigating Two-zero Textures of Inverse Neutrino Mass Matrix under the Lamp Post of LMA and LMA-D Solutions and Symmetry Realization

Cited by in corpus (1)

• The Muon Magnetic Moment and Physics Beyond the Standard Model