  To embed the seesaw mechanism in the MSSM, two or three right-handed neutrino
supermultiplets, $N_i$, have to be added to the model. In this framework, the
supersymmetry breaking potential will include a new term called neutrino
$B$-term: $MB_\nu \tilde{N} \tilde{N}/2$. In this talk, we present a toy model
that generates a large neutrino $B$-term keeping other supersymmetry breaking
parameters small. We then review the consequences of having a large neutrino
$B$-term on the electroweak symmetry breaking parameters and electric dipole
moments (EDMs) of elementary particles.
