$τ\to πK ν$ Decay and $πK$ Scattering

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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15 pages, Tex, 6 included figures

Scientific paper

10.1016/0370-2693(95)00158-H

Using chiral low energy theorems and elastic unitarity assumption, the $\tau\to\pi K \nu $ decay is investigated. The vector and scalar $\pi K$ form factors are calculated. It is found that the $\pi K$ spectrum is dominated by the $K^*$ resonance. By measuring the forward-backward asymmetry, it is shown that the S wave $\pi K$ phase shift can be determined near the $K^{*}$ resonance region. The calculated branching ratio and resonance parameters are in good agreement with experiments.

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