LAUSR

We propose a non-renormalizable $$B-L$$ model with $$S_{3}{\times Z_4\times Z_2}$$ symmetry which successfully accommodates the current active–sterile neutrino mixing in $$3+1$$ scheme. The $$S_3$$ flavor symmetry is supplemented by $$Z_4\otimes Z_2$$ symmetry to consolidate the Yukawa interaction of the model. The presence of $$S_3\otimes Z_4\otimes Z_2$$ 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.