LAUSR

In our work, we study the texture zeros of mν in the minimal extended type-I seesaw (MES) with incorporating one extra gauge singlet field “S”. The MES models deal with the Dirac neutrino mass matrix (MD), the right-handed Majorana mass matrix (MR) and the sterile neutrino mass matrix (MS). We carry out the mapping of all possible zero textures of MD, MR and MS for phenomenologically predictive cases having total eight zeros of MD and MR studied in the literature. With this motivation, we consider (a) (4 + 4) scheme, (b) (5 + 3) scheme and (c) (6 + 2) scheme, where the digits of a pair represent the number of zeros of MD and MR, respectively along with the one zero and two zero textures of (MS). There are a large number of possibilities of zeros of fermion mass matrices but the implementation of S3 transformations reduces it to a very minimum number of basic structures. Interestingly out of four allowed one zero textures of mν without sterile neutrino, only three cases (meτ = 0, mμμ = 0 and mττ = 0) are a...