Decays of $\tau \to \rho (770)({\rho }^{\prime }(1450)){\nu }_{\tau }$ and $\tau \to K^{\ast }(892)(K^{{\ast }^{\prime }}(1410)){\nu }_{\tau }$ in the extended Nambu - Jona- Lasinio model

Abstract

In the extended Nambu - Jona - Lasinio model the decay widths $\tau \to \rho (770)({\rho }^{\prime }(1450)){\nu }_{\tau }$ and $\tau \to K^{\ast }(892)(K^{{\ast }^{\prime }}(1410)){\nu }_{\tau }$ are studied in the quark one -loop approximation. Our estimations of the decay widths $\tau \to K^{\ast }(892)(K^{{\ast }^{\prime }}(1410)){\nu }_{\tau }$ are in satisfactory agreement with experimantal data. In the paper, the decay widths $\tau \to \rho (770)({\rho }^{\prime }(1450)){\nu }_{\tau }$ are also calculated.

7 pages, 2 figures

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Cited by in corpus (2)

• QCD sum rules with spectral densities solved in inverse problems
• The decays $\tau \to {\nu }_{\tau }(K^{\ast }(892),K^{\ast }(1410),K_1(1270),K_1(1650),a_1(1260),a_1(1640))$ in the Extended Nambu-Jona-Lasinio Model