  Extending previous results obtained in the effective-potential approach, we
derive analytic expressions for the pole masses of the charged and neutral
Higgs bosons in the minimal supersymmetric standard model (MSSM) with explicit
CP violation. In such a minimal supersymmetric model, the CP invariance of the
Higgs potential is explicitly broken by quantum effects dominated by
third-generation squarks at the one-loop level and by one-loop gluino- and
higgsino-mediated threshold corrections to the top- and bottom-quark Yukawa
couplings at the two-loop level. Field-theoretic issues arising in the
description of a two-level Higgs-boson system strongly mixed due to CP
violation are addressed. Numerical results for the pole masses of the
CP-violating Higgs bosons are presented, and comparisons are made with previous
results obtained in the effective-potential approach.
