Highly Enhanced Contributions of Heavy Higgs Bosons and New Leptons to Muon <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math> and Prospects at Future Colliders

We show that, in a two Higgs doublet model type II extended by vectorlike leptons, the contributions from heavy neutral and charged bosons to anomalous magnetic moment of muon simultaneously feature chiral enhancement masses new leptons ${\mathrm{tan}}^{2}\ensuremath{\beta}$ couplings bosons. Assuming moderate values Yukawa couplings, not exceeding one, that can remain perturbative very high energy scales, measured value $g\ensuremath{-}2$ be explained within one standard deviation even with 6.5 TeV or 20 Allowing near perturbativity limit, these mass ranges extend 45 for 185 In spite scale physics, this scenario completely probed at planned future colliders.