Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^{\prime }$ modular symmetry

Abstract

In this study, we attempt to introduce a model to illustrate neutrino phenomenology by incorporating two right-handed fermion triplet superfields, i.e., ${\Sigma }_{R_j}$, in the presence of the modular symmetry ${\Gamma }_3^{\prime }\simeq A_4^{\prime }$, a double cover of the $A_4$ modular symmetry. The motivation in utilizing double cover is, so far only even modular forms were considered for constructing modular invariant models, but, in this case, it is possible to extend the modular invariance approach to general integral weight modular forms, i.e., the odd weight modular forms. Hence, this type of amalgamation between $T^{\prime }$ modular symmetry and minimally extending the seesaw can correctly explain the neutrino phenomenology. Additionally, we have made an attempt to accommodate the most recent measurement of the $W$ boson mass, published by the CDF-II collaboration and shed some light on the recent results of muon $(g-2)$. Finally, we have discussed lepton flavor violation in order to establish a constraint on the mass of right-handed fermion.

arXiv comment26 pages, 19 figures, 3 tables

References in corpus (94)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• Pathways to Naturally Small Neutrino Masses
• 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
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• 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
• Two-pion contribution to hadronic vacuum polarization
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Remarks on higher-order hadronic corrections to the muon g-2
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• 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
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Unveiling $\nu$ secrets with cosmological data: neutrino masses and mass hierarchy
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Lepton Masses and Mixing from Modular $S_4$ Symmetry
• Running quark and lepton parameters at various scales
• Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment
• CP and Discrete Flavour Symmetries
• Type II Leptogenesis and the Neutrino Mass Scale
• Type-III see-saw at LHC
• Two--loop Contributions of Flavor Changing Neutral Higgs Boson to $\mu \to e\gamma$
• Modular $A_5$ Symmetry for Flavour Model Building
• Modular $S_4$ Models of Lepton Masses and Mixing
• Neutrino Masses and Mixing from Double Covering of Finite Modular Groups
• Updated results on neutrino mass and mass hierarchy from cosmology with Planck 2018 likelihoods
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• Double Cover of Modular $S_4$ for Flavour Model Building
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• Soft scalar masses in supergravity with horizontal U(1)_X gauge symmetry
• Generalised CP and $A_4$ Family Symmetry
• Modular $S_3$ symmetric radiative seesaw model
• Phenomenological Consequences of See-Saw in S4 Based Models
• $\mu \to e\gamma$ and $\tau \to l\gamma$ decays in the fermion triplet seesaw model
• Modular $A_4$ invariance and leptogenesis
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group
• Modular symmetry origin of texture zeros and quark lepton unification
• Type II seesaw models with modular $A_4$ symmetry
• Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry
• Modular symmetry by orbifolding magnetized $T^2\times T^2$: realization of double cover of ${\Gamma }_N$
• Double Covering of the Modular $A_5^{}$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model
• Upper Bound on the Mass of the Type III Seesaw Triplet in an SU(5) Model
• Anthropic solution to the magnetic muon anomaly: the charged see-saw
• $A_4$ Flavour Model for Dirac Neutrinos: Type I and Inverse Seesaw
• A Minimal Type II Seesaw Model
• Twin Modular $S_4$ with $SU(5)$ GUT
• Singlet extensions and W boson mass in the light of the CDF II result
• SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
• Type II See-Saw Mechanism, Deviations from Bimaximal Neutrino Mixing and Leptogenesis
• Triplet Extended Supersymmetric Standard Model
• Interpreting the $W$-mass anomaly in the vectorlike quark models
• Type II Dirac Seesaw with Observable $\Delta N_{\mathrm{eff}}$ in the light of W-mass Anomaly
• Fermion masses and mixing in modular A4 Symmetry
• W-boson mass in the triplet seesaw model
• Hadronic Uncertainties versus New Physics for the $W$ boson Mass and Muon $g-2$ Anomalies
• Type-II Seesaw at Collider, Lepton Asymmetry and Singlet Scalar Dark Matter
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• $W$ boson mass shift and muon magnetic moment in the Zee model
• Inverse seesaw in $A_5^{\prime }$ modular symmetry
• Predictions from warped flavordynamics based on the $T^{\prime }$ family group
• Dynamical mass matrices from effective superstring theories
• Flipped SU(5) with modular $A_4$ symmetry
• A model explaining the new CDF II W boson mass linking to muon $g-2$ and dark matter
• Lepton FCNC in Type III Seesaw Model
• Flavor changing neutral current constraints on standard-like orbifold models
• The Triplet Dirac Seesaw in the View of the Recent CDF-II W Mass Anomaly
• Explicit Perturbations to the Stabilizer $\tau =\mathrm{i}$ of Modular $A_5^{\prime }$ Symmetry and Leptonic CP Violation
• Scotogenic S3 symmetric generation of realistic neutrino mixing
• Lepton Mixing Predictions from $S_4$ in the Tri-Direct CP approach to Two Right-handed Neutrino Models
• Type III seesaw under $A_4$ modular symmetry with leptogenesis
• Type-I Seesaw with eV-Scale Neutrinos
• Double type-II seesaw accompanied by Dirac fermionic dark matter
• Radiative Neutrino Mass in Type III Seesaw Model
• Two A5 modular symmetries for Golden Ratio 2 mixing
• Type III seesaw with R-parity violation in light of $m_W$ (CDF)
• On Minimal realization of Topological Lorentz Structures with one-loop Seesaw extensions in A${}_4$ Modular Symmetry
• Lepton mass matrix from double covering of $A_4$ modular flavor symmetry
• An $S_3$ flavored left-right symmetric model of quarks
• Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry
• Neutrino Phenomenology and Dark matter in an $A_4$ flavour extended B-L model
• Type III Neutrino Seesaw, Freeze-In Long-Lived Dark Matter, and the $W$ Mass Shift
• The Minimal Type-II Seesaw Model and Flavor-dependent Leptogenesis

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