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This paper provides a detailed description of the method for the first directmeasurement of all Michel parameters in the $\tau^- \to \mu^-\bar{\nu}_\mu\nu_\tau$ decay related to the polarization of the daughter muon.An application of the suggested method in the existing and future experimentsat $e^+e^-$ colliders is considered. We have performed a feasibility study forthe future Super Charm-Tau Factory and Belle II experiments. For the first one,the sensitivity to the Michel parameters $\xi'$, $\xi''$, $\eta''$,$\alpha'/A$, and $\beta'/A$ is estimated. For the latter, only one Michelparameter, $\xi'$, for which the sensitivity is maximum, is considered.

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

A new method for measurement of the Michel parameters that describe the  daughter muon polarization in the $\tau^- \to \mu^- \bar{\nu}_\mu\nu_\tau$  decay