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We show that in a two Higgs doublet model type-II extended by vectorlikeleptons the contributions from heavy neutral and charged Higgs bosons to theanomalous magnetic moment of the muon simultaneously feature chiral enhancementfrom masses of new leptons and $\tan^2 \beta$ enhancement from couplings ofHiggs bosons. Assuming moderate values of new Yukawa couplings, not exceedingone, that can remain perturbative to very high energy scales, the measuredvalue of muon $g-2$ can be explained within one standard deviation even with6.5 TeV leptons or 20 TeV Higgs bosons. Allowing new couplings near theperturbativity limit, these mass ranges extend to 45 TeV for leptons and 190TeV for Higgs bosons. In spite of the high scale of new physics this scenariocan be completely probed at planned future colliders.

Highly enhanced contributions of heavy Higgs bosons and new leptons to muon $g-2$ and prospects at future colliders