Radiativeτdecays with one pseudoscalar meson

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Abstract

We have calculated the decay $\ensuremath{\tau}\ensuremath{\rightarrow}\ensuremath{\nu}\ensuremath{\pi}(K)\ensuremath{\gamma}$. We present the photon energy spectrum, the meson-photon invariant mass spectrum, and the integrated rate as a function of a photon energy cut or an invariant mass cut. Both the internal bremsstrahlung and the structure-dependent radiation have been taken into account. To this aim we have parametrized the form factors ${F}_{V}$ and ${F}_{A}$, which determine the structure-dependent radiation. Observables especially suited for the measurement of the structure-dependent form factors are found and implications on the width of the ${a}_{1}$ discussed. We compare our results with previously published ones.

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