First Measurement of the Michel Parameter ξ ' in the τ - → μ - ν ¯ μ ν τ Decay at Belle
We report the first measurement of the Michel parameter ξ' in the $\tau$ - →μ - $\overline{v}$ μ v $\tau$ decay with a new method proposed just recently. The measurement is based on the reconstruction of the $\tau$ - →μ - $\overline{v}$ μ v $\tau$ events with subsequent muon decay in flight in the Belle central drift chamber. The analyzed data sample of 988 fb -1 collected by the Belle detector corresponds to approximately 912×10 6 $\tau$ + $\tau$ - pairs. We measure ξ'=0.22±0.94(stat)±0.42(syst), which is in agreement with the standard model prediction of ξ' =1. Statistical uncertainty dominates in this study, being a limiting factor, while systematic uncertainty is well under control. Our analysis proved the practicability of this promising method and its prospects for further precise measurement in future experiments.