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Abstract:
For type I seesaw and in the basis where the charged lepton
and heavy right-handed neutrino mass matrices are real and
diagonal, four has been shown to be the maximum number of
zeros allowed in the neutrino Yukawa coupling matrix Y(nu).
These four zero textures have been classified into two
distinct categories. We investigate certain phenomenological
consequences of these textures within a supersymmetric
framework. This is done by using conditions implied on
elements of the neutrino Majorana mass matrix for textures
of each category in Y(nu). These conditions turn out to
be stable under radiative corrections. Including the
effective mass, which appears in neutrinoless double
beta decay, along with the usual neutrino masses, mixing
angles and phases, it is shown analytically and through
scatter plots how restricted regions in the seesaw parameter
space are selected by these conditions. We also make
consequential statements on the yet unobserved
radiative lepton flavor violating decays such as mu -> e gamma.
All these decay amplitudes are proportional to the moduli of
entries of the neutrino Majorana mass matrix. We also
show under which conditions the low energy CP violation,
showing up in neutrino oscillations, is directly linked
to the CP violation required for producing successful
flavor dependent and flavor independent lepton asymmetries
during leptogenesis.
