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.

26 pages, 19 figures, 3 tables

References in corpus (48)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• 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 hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment
• Type-III see-saw at LHC
• Double Cover of Modular $S_4$ for Flavour Model Building
• 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
• 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
• 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
• 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
• Predictions from warped flavordynamics based on the $T^{\prime }$ family group
• Inverse seesaw in $A_5^{\prime }$ modular symmetry
• Flipped SU(5) with modular $A_4$ symmetry
• Lepton FCNC in Type III Seesaw Model
• A model explaining the new CDF II W boson mass linking to muon $g-2$ and dark matter
• Explicit Perturbations to the Stabilizer $\tau =\mathrm{i}$ of Modular $A_5^{\prime }$ Symmetry and Leptonic CP Violation
• The Triplet Dirac Seesaw in the View of the Recent CDF-II W Mass Anomaly
• Type III seesaw under $A_4$ modular symmetry with leptogenesis
• Type-I Seesaw with eV-Scale Neutrinos
• 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
• Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry
• 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

Cited by in corpus (4)

• Predictions from scoto-seesaw with $A_4$ modular symmetry
• Neutrino Mass Sum Rules from Modular ${\mathcal{A}}_4$ Symmetry
• Minimal model for the $W$-boson mass, $(g-2{)}_{\mu }$, $h\to {\mu }^{+}{\mu }^{-}$ and quark-mixing-matrix unitarity
• CP-like Symmetry with Discrete and Continuous Groups and CP Violation/Restoration