  In this paper, we study non-decoupling $\mu$ - $e$ transition effects by
Higgs-mediated contribution in the MSSM, when some SUSY mass parameters are
much greater than TeV. In order to treat CP-odd Higgs mass $m_{A^{0}}$ as a
free parameter, we consider the non-universal Higgs mass model (NUHM), and
assume the only left- or right-handed sleptons had flavor-mixing mass terms. If
both Higgs-mediated and ordinary SUSY contribution are significant, the ratio
of branching ratios $\BR(\meg) / \BR(\maleal)$ becomes sensitive to SUSY mass
parameters. We investigated these mass-sensitive regions and the behavior of
the ratio $\BR(\meg) / \BR(\maleal)$ in some mass spectrum of the NUHM, and
found that this ratio drastically depends on the mass spectrum structure and
chirality of flavor violation. Log factor from two split mass scale influences
the way of interference between gaugino- and Higgs-mediated contributions
significantly.
