Measurement of Michel Parameters ($\barη$, $ξκ$) in the radiative leptonic decay of tau at Belle

Abstract

We present the first measurement of the Michel parameters $\barη$ and $ξκ$ in the radiative leptonic decay of the $τ$ lepton using 703 f$\mathrm{b}^{-1}$ of data collected with the Belle detector at the KEKB $e^+e^-$ collider. The Michel parameters are measured by an unbinned maximum likelihood fit to the kinematic information of $e^+e^-\rightarrowτ^+τ^-\rightarrow (π^+π^0 \barν)(l^-ν\barνγ)$ $(l=e$ or $μ)$. The preliminary values of the measured Michel parameters are $\barη = -2.0 \pm 1.5 \pm 0.8$ and $ξκ= 0.6 \pm 0.4 \pm 0.2$, where the first error is statistical and the second is systematic.