Monojit Ghosh, Srubabati Goswami, Shivani Gupta, C. S. Kim
In this paper we study the one zero textures of low energy neutrino mass matrices in presence of a sterile neutrino. We find that the mass matrix elements $m_{\alpha \beta}$ ($\alpha, \beta = e, \mu, \tau$) involving only the active states can assume vanishing values in the allowed parameter space for all the mass spectrum. Among the mass matrix elements connecting the active and sterile states, $m_{es}$ and $m_{\mu s}$ can become small only for the quasi-degenerate neutrinos. The element $m_{\tau s}$ on the other hand can be very small even for lower values of masses since the 3-4 mixing angle only has an upper bound from current data. The mass matrix element ($m_{ss}$) involving only the sterile state stays $\sim {\cal{O}}(1)$ in the whole parameter region. We study the possible correlations between the sterile mixing angles and the Majorana phases to give a zero element in the mass matrix.
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http://arxiv.org/abs/1305.0180
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