Abstract
We propose a non-renormalizable B-L model with S_{3}{times Z_4times Z_2} symmetry which successfully accommodates the current active–sterile neutrino mixing in 3+1 scheme. The S_3 flavor symmetry is supplemented by Z_4otimes Z_2 symmetry to consolidate the Yukawa interaction of the model. The presence of S_3otimes Z_4otimes Z_2 flavour symmetry plays an important role in generating the desired structure of the neutrino mass matrix. The model can reproduce the recent observed active-neutrino neutrino oscillation data for normal ordering in which two sterile–active mixing angles theta _{14, 24} get the best-fit values and the obtained values of theta _{34}, delta _{14}, delta _{14}, the sum of neutrino mass and the effective neutrino masses are within their currently allowed ranges.
Highlights
The neutrino mass and mixing is one of the most exciting issues of modern physics
In (3 + 1) neutrino scheme, the B − L model with S3 symmetry was first presented in Ref. [64], the active–sterile neutrino mass and mixing has not been addressed
We propose a non-renormalizable B − L model with S3×Z4 × Z2 symmetry which successfully accommodates the current active–sterile neutrino mixing in 3 + 1 scheme
Summary
The leptonic mixing angles and neutrino mass squared differences are measured with a high precision [1]. In order to explain the observed lepton flavor mixing pattern, flavour symmetries have proven many advantages which have been widely used in different works, see for instance, S3 [19–25], S4 [26–35], T [36–38], D4 [39–46], (27) [47–56]. In (3 + 1) neutrino scheme, the B − L model with S3 symmetry was first presented in Ref. To our best knowledge S3 symmetry has not been considered before in the 3 + 1 neutrino scheme with B − L model. We suggest a B − L extension based on S3 ⊗ Z4 ⊗ Z2 symmetry which successfully accommodates the observed sterile–active neutrino mixing patterns within the framework of the 3 + 1 scheme.
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