  In this paper, we discuss the multi-Higgs doublet models, that could be
effectively induced by the extended Standard Model (SM). In particular, we
focus on the phenomenology in the supersymmetric model with left-right (LR)
symmetry, where the down-type and the up-type Yukawa couplings are unified and
the Yukawa coupling matrices are expected to be hermitian. In this model,
several Higgs doublets are introduced to realize the realistic fermion mass
matrices, and the heavy Higgs doublets have flavor changing couplings with
quarks and leptons. The LR symmetry is assumed to break down at high energy to
realize the Type-I seesaw mechanism. The supersymmetry breaking scale is
expected to be around 100 TeV to achieve the 125 GeV Higgs. In such a setup,
the flavor-dependent interaction of the Higgs fields becomes sizable, so that
we especially discuss the flavor physics induced by the heavy Higgs fields in
our work. Our prediction depends on the structure of neutrinos, e.g., the
neutrino mass ordering. We demonstrate how the flavor structure of the SM
affects the flavor violating couplings. In our analysis, we mainly focus on the
four-fermi interaction induced by the scalar exchanging, and we propose a
simple parameterization for the coefficients. Then, we find the correlations
among the flavor observables and, for instance, see that our prediction for the
$\mu \to 3 e$ process could be covered by the future experiment, in one case
where the neutrino mass hierarchy is normal.
