$τ^{-} \to π^{-} π^{0} ν_τ$ decay in the extended NJL model

Details $τ^{-} \to π^{-} π^{0} ν_τ$ decay in the extended NJL model $τ^{-} \to π^{-} π^{0} ν_τ$ decay in the extended NJL model

2012-02-02

arxiv.org/abs/1202.0506v4

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 3 figures, 1 table

Scientific paper

The width of the decay $\tau^{-} \to \pi^{-} \pi^{0} \nu_\tau$ was calculated in the extended NJL model. Contact interaction of $W$ boson with pion pair as well as the contribution of the $\rho$ mesons in ground and first radial-exited states are taken into account. The sum of the contact diagram and diagram with intermediate $\rho$ meson in the ground state leads to the result which coincides with the result of the vector-dominance model. Our results are in satisfactory agreement with experimental data.

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