Investigating the sterile neutrino parameters with QLC in 3 + 1 scenario

Abstract

In the scenario with four generation quarks and leptons and using a 3 + 1 neutrino model having one sterile and the three standard active neutrinos with a $4\times 4$ unitary transformation matrix, $U_{PMN{S}_4}$, we perform a model-based analysis using the latest global data and determine bounds on the sterile neutrino parameters i.e. the neutrino mixing angles. Motivated by our previous results, where, in a quark-lepton complementarity (QLC) model we predicted the values of ${\theta }_{13}^{PMNS}=(9_{-2}^{+1}{)}^{\circ }$ and ${\theta }_{23}^{PMNS}=(40.60_{-0.3}^{+0.1}{)}^{\circ }$. In the QLC model the non-trivial correlation between $CK{M}_4$ and $PMN{S}_4$ mixing matrix is given by the correlation matrix $V_{c_4}$. Monte Carlo simulations are performed to estimate the texture of $V_{c4}$ followed by the calculation of $PMN{S}_4$ using the equation, $U_{PMN{S}_4}=(U_{CK{M}_4}.{\psi }_4{)}^{-1}.V_{c_4}$, where ${\psi }_4$ is a diagonal phase matrix. The sterile neutrino mixing angles, ${\theta }_{14}^{PMNS}$, ${\theta }_{24}^{PMNS}$ and ${\theta }_{34}^{PMNS}$ are assumed to be freely varying between $(0-\pi /4)$ and obtained results which are consistent with the data available from various experiments, like No$\nu$A, MINOS, SuperK, Ice Cube-DeepCore. In further investigation, we analytically obtain approximately similar ranges for various neutrino mixing parameters $\mid U_{\mu 4}{\mid }^2$ and $\mid U_{\tau 4}{\mid }^2$.

Comments: 16 pages, 4 tables, 7 figures(with subfigures, total 14 figures)