Dipole moments of charged leptons in the THDM-III with textures

We study the magnetic and weak magnetic dipole moments (WEDMs) of charged leptons in the framework of the two Higgs doublet model type III (THDM-III) with four zero textures. We first analyze the possibility that the discrepancy between the experimental measurements and the theoretical prediction of the muon anomalous magnetic dipole moment (a(mu)) in the standard model can be explained in the context of the model and then find values for the parameters of the THDM-III: neutral and charged Higgs boson masses (m(H), m(H +/-)), mixing angles (alpha, beta), CP-violating angles theta(1), theta(2) and an additional parameter arising from the mass matrix (gamma(f)), for which a correspondence between theory and experiment is possible. We use a(mu)(THDM-III) and current low energy processes K - (K) over bar mixing, B-s(0) -> mu(mu) over bar, tau -> mu mu(mu) over bar, mu -> ee (e) over bar, tau -> e gamma, mu -> e gamma, b -> s gamma, B -> D(D*)tau nu and the rare higgs decay h -> tau mu in order to determine the allowed parameter space of THDM-III and from these we give a prediction for the magnetic and WEDM of charged leptons, in particular of the tau lepton. The obtained magnetic dipole moment of the tau lepton is of the order of O(10(-8)-10(-7)) and the weak magnetic is of the order O(10(-10)-10(-7)).