Application of current algebra in three pseudoscalar meson decays of τ lepton

The decays of τ → 3πν and τ → πK∗ν, Kϱν are calculated using the hard pion and kaon current algebra and assuming the Axial-Vector meson dominance of the hadronic axial currents. Using the experimental data on their masses and widths, the τ decay branching ratios into these channels are calculated and found to be in a reasonable agreement with the experimental data. In particular, using the available ALEPH data on the 3π spectrum, we determine the A1 parameters, mA = 1.24 ± 0.02 GeV, ΓA = 0.43 ± 0.02 GeV; the hard current algebra calculation yields a 3π branching ratio of 19 ± 3%.