Application of Current Algebra in Three Pseudoscalar Meson Decays of $ au$ Lepton

摘要

The decays of $\tau \to 3\pi \nu $ and $\tau \to \pi K^{*} \nu, K\rho \nu $are calculated using the hard pion and kaon current algebra and assuming theAxial-Vector meson dominance of the hadronic axial currents. Using theexperimental data on their masses and widths, the $\tau$ decay branching ratiosinto these channels are calculated and found to be in a reasonable agreementwith the experimental data. In particular, using the available Aleph data onthe $3\pi$ spectrum, we determine the $A_1$ parameters, $m_A=1.24\pm 0.02 GeV$,$\Gamma _A=0.43\pm 0.02$ GeV; the hard current algebra calculation yields a$3\pi$ branching ratio of $19 \pm 3 \%$.