The decay $\tau \to K^{\ast 0}(892)K^{-}{\nu }_{\tau }$ in the extended NJL model

Abstract

In the extended Nambu -- Jona-Lasinio model, the decay width of $\tau \to K^{\ast 0}(892)K^{-}{\nu }_{\tau }$ is calculated. The contributions from the contact diagram and diagrams with intermediate axial-vector, vector and pseudoscalar mesons in the ground and first radially excited states are taken into account. It is shown that axial-vector and vector channel with a contact diagram give a dominant contribution to the decay width. The obtained results for the decay width $\tau \to K^{\ast 0}(892)K^{-}{\nu }_{\tau }$ are in satisfactory agreement with experimental data. A prediction for differential distribution over the invariant mass of the meson pair $K^{\ast 0}(892)K^{-}$ is given.

arXiv comment7 pages, 3 figures

References in corpus (12)

• A chiral Lagrangian for excited pions
• Theory of tau mesonic decays
• Light isovector resonances in ${\pi }^{-}p\to {\pi }^{-}{\pi }^{-}{\pi }^{+}p$ at 190 GeV/$c$
• The process $e^{+}{e}^{-}\to \omega {\pi }^0\to {\pi }^0{\pi }^0\gamma$ up to 1.4 GeV
• Study of tau- --> V P- nu(tau) in the framework of resonance chiral theory
• The decay $\tau \to \pi \omega \nu$ in the extended NJL model
• ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ decay in the extended NJL model
• ${\tau }^{-}\to {\nu }_{\tau }{M}_1{M}_2$, with $M_1,M_2$ pseudoscalar or vector mesons
• The processes $e^{+}{e}^{-}\to \pi \pi ({\pi }^{\prime })$ in the extended NJL model
• The decays $\tau \to (K,K(1460)){\nu }_{\tau }$ and the value of the weak decay coefficients $F_K$ and $F_{K^{{}^{\prime }}}$ in the extended NJL model
• The decays $\tau \to [\omega (782),\varphi (1020)]K^{-}{\nu }_{\tau }$ in the extended NJL model
• The processes $e^{+}{e}^{-}\to K^{\pm }(K^{\ast \mp }(892),K^{\ast \mp }(1410))$ and $e^{+}{e}^{-}\to (\eta ,{\eta }^{{}^{\prime }}(958))(\varphi (1020),\varphi (1680))$ in the extended Nambu-Jona-Lasinio model