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arXiv · 2412.11093

Decays $τ\to f_0(π,K) ν_τ$ and $τ\to 3 πν_τ$ accounting for the contribution of $f_0(500)$

M. K. Volkov·A. A. Pivovarov·K. Nurlan
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Abstract

In the $U(3) \times U(3)$ quark NJL model, $τ$ lepton decays with the production of scalar mesons $f_0(π,K])$ and neutrinos are studied, where $f_0=f_0(500), f_0(980)$. It is shown that these decays mainly occur via contact channels and channels with axial-vector mesons $a_1$, $K_1(1270)$ and $K_1(1400)$. All mesons are considered as quark-antiquark states in this case. The obtained results can be considered as predictions for future experiments. The obtained estimates for the branching fractions of the $τ\to π^-2π^0 ν_τ$ decay taking into account the contributions of the $ρπ$ and $f_0(500)π$ states are in satisfactory agreement with experimental data.

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M. K. Volkov, A. A. Pivovarov, K. Nurlan. 2024-12-15. Decays $τ\to f_0(π,K) ν_τ$ and $τ\to 3 πν_τ$ accounting for the contribution of $f_0(500)$. https://arxiv.org/abs/2412.11093

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