  We compute the magnetic dipole moment (MDM) for massive flavor neutrinos
using the neutrino self-energy in a magnetized media. The framework to
incorporate neutrino masses is one minimal extension of the Standard Model in
which neutrinos are Dirac particles and their masses coming from tiny Yukawa
couplings from a second Higgs doublet with a small vacuum expectation value.
The computations are carried out by using proper time formalism in the weak
field approximation $eB<<m_{e}^{2}$ and assuming normal hierarchy for neutrino
masses and sweeping the charged Higgs mass. For $\nu_{\tau}$, analyses in the
neutrino specific scenario indicate magnetic dipole moments greater than the
values obtained to the MDM in the SM (with and without magnetic fields) and
other flavor conserving models. This fact leading a higher proximity with
experimental bounds and so on it is possible to get stronger exclusion limits
over new physics parameter space.
