  We propose a new scaling ansatz in the neutrino Dirac mass matrix to explain
the low energy neutrino oscillations data, baryon number asymmetry and
neutrinoless double beta decay. In this work, a full reconstruction of the
neutrino Dirac mass matrix has been realized from the low energy neutrino
oscillations data based on type-I seesaw mechanism. A concrete model based on
$A_4$ flavor symmetry has been considered to generate such a neutrino Dirac
mass matrix and imposes a relation between the two scaling factors. In this
model, the right-handed Heavy Majorana neutrino masses are quasi-degenerate at
TeV mass scales. Extensive numerical analysis studies have been carried out to
constrain the parameter space of the model from the low energy neutrino
oscillations data. It has been found that the parameter space of the Dirac mass
matrix elements lies near or below the MeV region and the scaling factor
$|\kappa_1|$ has to be less than 10. Furthermore, we have examined the
possibility for simultaneous explanation of both neutrino oscillations data and
the observed baryon number asymmetry in the Universe. Such an analysis gives
further restrictions on the parameter space of the model, thereby explaining
the correct neutrino data as well as the baryon number asymmetry via a resonant
leptogenesis scenario. Finally, we show that the allowed space for the
effective Majorana neutrino mass $m_{ee}$ is also constrained in order to
account for the observed baryon asymmetry.
