  We show that in a two Higgs doublet model type-II extended by vectorlike
leptons the contributions from heavy neutral and charged Higgs bosons to the
anomalous magnetic moment of the muon simultaneously feature chiral enhancement
from masses of new leptons and $\tan^2 \beta$ enhancement from couplings of
Higgs bosons. Assuming moderate values of new Yukawa couplings, not exceeding
one, that can remain perturbative to very high energy scales, the measured
value of muon $g-2$ can be explained within one standard deviation even with
6.5 TeV leptons or 20 TeV Higgs bosons. Allowing new couplings near the
perturbativity limit, these mass ranges extend to 45 TeV for leptons and 190
TeV for Higgs bosons. In spite of the high scale of new physics this scenario
can be completely probed at planned future colliders.
