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Measurement of the Michel parameters in leptonic τ-decays at Super Tau-Charm facility
We present a new method for direct measurement of all Michel parameters in the 𝜏− → 𝜇− 𝜈_𝜇 𝜈_𝜏 decay related to the polarization of the daughter muon: 𝜉′, 𝜉′′, 𝜂′′, 𝛼′/𝐴, and 𝛽′/𝐴. The method is based on the reconstruction of the muon decays-in-flight in the tracker of the 𝑒+𝑒− collider experiments and relies on the correlation between muon spin and its daughter electron momentum. The low probability of decay-in-flight in the tracker volume is compensated by the unprecedented statistics of modern flavor factories, which ultimately leads to the possibility of achieving high accuracy. We discuss the application of the suggested method in the experiments at 𝑒+𝑒− colliders and present a feasibility study for the future Super Charm-Tau Factory experiment. We also discuss the result of the first use of the proposed method in the Belle experiment, confirming its applicability.