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τ⁻ lepton; Kobayashi-Maskawa mixing matrix; Tau neutrino; neutrino mass; mass mixing

Experimentally established mesonic decays ofτ⁻ lepton have been reexamined with the inclusion of the effects of finite neutrino mass and the associated mass mixing in the form of Kobayashi-Maskawa mixing matrix. A comparison with the experimentally predicted decay probabilities provides limits for thev_τ mass which are finite in all decays except for the lower limit in mass mixing case of the decayτ⁻→K*⁻ (892)+v_τ for which$$m_{v_\tau } = (420 \pm 610)$$ MeV. The large error in this value is because of (i) large errors in the experimental values of life time and branching ratio for this decay and (ii) thekm mixing used in the calculations. The ratio of parity-violating to parity-conserving terms in the differential decay probabilities of various decays differs slightly from their values corresponding to those with varishingv_τ mass.

R R L Sharma^{1 2} N K Sharma¹

1. Department of Physics, University of Rajasthan, Jaipur - 302 004, India
2. Government College, Dholpur - 328 001, India

Published

November 1983

Manuscript received

23 October 1982

Manuscript revised

21 July 1983