Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

We propose a complex extension of mu tau permutation antisymmetry in the neutrino Majorana matrix M-nu. The latter can be realized for the Lagrangian by appropriate CP transformations on the neutrino fields. The resultant form of M-nu, is shown to be simply related to that with a complex (CP) extension of mu tau permutation symmetry, with identical phenomenological consequences, though their group theoretic origins are quite different. We investigate those consequences in detail for the minimal seesaw induced by two strongly hierarchical right-chiral neutrinos N-1 and N-2 with the result that the Dirac phase is maximal while the two Majorana phases are either 0 or pi. We further provide an uptodate discussion of the beta beta 0 nu process vis-a-vis ongoing and forthcoming experiments. Finally, a thorough treatment is given of baryogenesis via leptogenesis in this scenario, primarily with the assumption that the lepton asymmetry produced by the decays of N-1 only matters here with the asymmetry produced by N-2 being washed out. Tight upper and lower bounds on the mass of N-1 are obtained from the constraint of obtaining the correct observed range of the baryon asymmetry parameter and the role played by N-2 is elucidated thereafter. The mildly hierarchical right-chiral neutrino case (including the quasidegenerate possibility) is discussed in an appendix.