Abstract
We propose a renormalizable B-L Standard Model (SM) extension based on S_3 symmetry which successfully accommodates the observed fermion mass spectra and flavor mixing patterns as well as the CP violating phases. The small masses for the light active neutrinos are generated through a type I seesaw mechanism. The obtained physical parameters in the lepton sector are well consistent with the global fit of neutrino oscillations (Esteban et al. in J High Energy Phys 01:106, 2019) for both normal and inverted neutrino mass orderings. The model also predicts effective neutrino mass parameters of {langle m_{ee}rangle }= {1.02times 10^{-2}},{mathrm {eV}},, m_{beta }= {1.25}times 10^{-2},{mathrm {eV}} for normal hierarchy (NH) and {langle m_{ee}rangle } ={5.03}times 10^{-2}, {mathrm {eV}},, m_{beta } ={5.05}times 10^{-2}, {mathrm {eV}} for inverted hierarchy (IH) which are all well consistent with the future large and ultra-low background liquid scintillator detectors which has been discussed in Ref. (Zhao et al. in Chin Phys C 41(5):053001, 2017) or the limit of the effective neutrino mass can be reached by the planning of future experiments. The model results are consistent with and successfully accommodate the recent experimental values of the physical observables of the quark sector, including the six quark masses, the quark mixing angles and the CP violating phase in the quark sector.
Highlights
It is very well consistent with the future large and ultra-low background liquid scintillator detectors which has been discussed in Ref. [66] or the meV limit of the effective neutrino mass can be reached by the planning of future experiments [67
The resulting effective neutrino mass parameter for inverted hierarchy is very well consistent with the future large and ultra-low background liquid scintillator detectors which has been discussed in Ref. [66] or the meV limit of the effective neutrino mass can be reached by the above mentioned future experiments [67–74]
We have proposed a renormalizable B − L standard model extension based on the S3 symmetry which successfully accommodates the current data on Standard Model (SM) fermion masses, fermionic mixing angles and CP violating phases of both quark and lepton sectors
Summary
[1,2,3,4,5,6,7,8] In this type of model, the presence of three right-handed neutrinos is essential to cancel the gauge and the mixed gauge-gravitational anomalies. It does not provide a natural explanation for fermion mixings. [52] the inverted and degenerate neutrino mass hierarchies were considered, the recent experimental data [9,53] favors the inverted or normal hierarchy; (d) The Dirac CP-violating phase was not predicted by [52]; (e) The quark mass matrices Mu,d in our model seem simpler in the sense that two entries “23”. Appendix A provides a brief description of the Clebsch–Gordan coefficients for the S3 group
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