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We consider renormalizable couplings of neutral $\phi$, singly $\phi^\pm$,and doubly charged $\phi^{\pm\pm}$ scalar bosons to leptons and the $Z$ gaugeboson and calculate the one-loop contributions to the anomalous weak magneticdipole moment (AWMDM) $a_\tau^W$ and the weak electric dipole moment (WEDM)$d_\tau^W$ of a charged lepton in a model independent way. The analyticexpressions are presented in terms of both parametric integrals andPassarino-Veltman scalar functions. Among the new contributions, there arethose arising from the vertices of the type $\phi^\pm W^\mp Z$ and $Z\phi_i\phi_j$ ($i\ne j$), along with contributions from doubly charged scalarbosons. Both $a_\tau$ and $d_\tau^W$ are evaluated in several scenarios , firstin a model independent way and then within some popular models, such astwo-Higgs doublet models (THDMs), multiple-Higgs doublet models and Higgstriplet models. As far as $a_\tau^W$ is concerned, its real part reaches valuesas high as $10^{-10}-10^{-9}$ for masses of the new scalar bosons in the 200GeV range, whereas the imaginary part is one or two orders of magnitude below.On the other hand, the most promising scenario for a nonvanishing WEDM isoffered by a $CP$-violating THDM in a scenario where the heavy neutral scalarbosons are a mixture of $CP$ eigenstates. It is found that the real part of$d_\tau^W$ is of the order of $10^{-24}$ ecm and its imaginary part can reachthe $10^{-26}$ ecm level for masses of the new scalar bosons of the order of afew hundred of GeVs. Both the tau AWMDM and WEDM decrease dramatically as thescalar boson masses increase.

Weak dipole moments of the tau lepton in models with an extended scalar sector