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In a general two Higgs doublet model (2HDM), the anomaly of muon anomalousmagnetic moment (muon g-2) can be explained by $\mu-\tau$ flavor violatingYukawa couplings, motivated by the recent CMS excess in Higgs boson decay$h\rightarrow \mu \tau$. We study Michel parameters for $\tau$ decays $\tau\rightarrow l \nu \bar{\nu}~(l=e,~\mu)$ in the 2HDM with the lepton flavorviolation, and show that they can be sensitive to the flavor structure as wellas the Lorentz and chiral structures of the model. We find that the correctionto the Michel parameter $\xi_\mu$ in $\tau \rightarrow \mu \nu\bar{\nu}$ iscorrelated to the contribution to the muon g-2, and it can be as large as$10^{-4}-10^{-2}$ in the parameter region where the $\mu-\tau$ flavor violatingYukawa couplings explain the muon g-2 anomaly. Therefore the precisionmeasurement of the Michel parameter at the level of $10^{-4}-10^{-2}$ wouldsignificantly probe the interesting parameter space for the solution to themuon g-2 anomaly.

the journal of high energy physics/the journal of high energy physics

Michel parameters for $\tau$ decays $\tau \rightarrow  l\nu\bar{\nu}~(l=e,~\mu)$ in a general two Higgs doublet model with  $\mu-\tau$ flavor violation