  We point out that in the minimal supersymmetric standard model terms from the
mixing of Higgs and Goldstone bosons which are connected to the renormalization
of tan(beta) via Slavnov-Taylor identities give rise to corrections that do not
vanish in the limit where the supersymmetric particles are much heavier than
the Higgs bosons. These additional contributions have important
phenomenological implications as they can lead to potentially large
supersymmetric effects in DeltaM_d and to a significant increase of DeltaM_s
relative to the standard model prediction for a light pseudoscalar Higgs A0. We
calculate all the missing one-loop pieces and combine them with the known
effective non-holomorphic terms to obtain improved predictions for the
B_(d,s)-anti-B_(d,s) mass differences DeltaM_(d,s) and the branching ratios of
B_(d,s) -> mu+mu- in the large tan(beta) regime of the minimal supersymmetric
standard model with minimal flavor violation.
