Tau decays with one charged particle plus multiple π0's

With the CLEO-II detector at the Cornell Electron Storage Ring, we have measured branching fractions for tau lepton decay into one-prong final states with multiple π0's Bhnπ0, normalized to the branching fraction for tau decay into one charged particle and a single π0. We find Bh2π0/Bhπ0=0. 345±0.006±0.016, Bh3π0/Bhπ0=0.041 ±0.003±0. 005, and Bh4π0/Bhπ0=0.006±0.002±0.002. © 1993 The American Physical Society.