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We explore masses and mixings for Dirac neutrinos in models where leptonnumber is conserved, under the guidance of a hidden, but broken, $\mu-\tau$exchange symmetry, that makes itself evident in the squared hermitian massmatrix. We study the parameter space in the most general theory as allowed bycurrent neutrino oscillation experiment data. By using a generalparameterization of the mass matrix which contains only observable parameterswe stablish that the amount of breaking of the symmetry is in the range of theatmospheric mass scale, without regard to the neutrino hierarchy, the absoluteneutrino mass and the Dirac CP phase. An estimate of the invisible branchingratio for a Higgs boson decaying into Dirac neutrinos,$H\rightarrow\nu\overline{\nu}$ , is given and compared to recent measurementsin this context.

Dirac neutrino mixings from hidden $\mu-\tau$ symmetry