  We investigate effects of strong electron correlation on magnetoelectric
transport phenomena in noncentrosymmetric superconductors with particular
emphasis on its application to the recently discovered heavy-fermion
superconductor CePt$_3$Si. Taking into account electron correlation effects in
a formally exact way, we obtain the expression of the magnetoelectric
coefficient for the Zeeman-field-induced paramagnetic supercurrent, of which
the existence was predicted more than a decade ago. It is found that in
contrast to the usual Meissner current, which is much reduced by the mass
renormalization factor in the heavy-fermion state, the paramagnetic
supercurrent is not affected by the Fermi liquid effect. This result implies
that the experimental observation of the magnetoelectric effect is more
feasible in heavy-fermion systems than that in conventional metals with
moderate effective mass.
