or Majorana, mass hierarchy: normal or inverted, CP violating phases etc. Apart from these, the origin of light neutrino mass also remains unknown in the standard model (SM) as the Higgs field do not have any renormalisable coupling to the neutrinos due to the absence of right handed neutrinos. If we go beyond renormalisable level, then it is possible to generate light neutrino mass of Majorana type via a dimension five Weinberg operator [@Weinberg:1979sa] of type $(L L H H)/\Lambda$ where $\Lambda$ is an unknown cutoff scale somewhere above the electroweak scale. Usual seesaw models [@Minkowski:1977sc; @GellMann:1980vs; @Mohapatra:1979ia; @Schechter:1980gr] for light neutrino mass attempt to provide a dynamical origin of the Weinberg operator by introducing new fields like heavy right handed neutrinos. Apart from the sub-eV mass, well below the electroweak scale, another puzzling feature related to neutrinos is their large mixing, in sharp contrast with small mixing angles in the quark sector. This has also motivated the study of different flavour symmetry models that can predict such large mixing patterns. One of the very popular flavour symmetric scenarios is the one that predicts a $\mu-\tau$ symmetric light neutrino mass matrix. However, such a scheme which predicts $\theta_{13} = 0, 