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

Abstract

The decay width $\tau \to K^{\ast -}(892)\eta {\nu }_{\tau }$ was calculated in the Nambu--Jona-Lasinio model. Four channels were taken into account: the contact channel (the final states are directly producted from lepton current without any intermediate meson states), the axial-vector channel with two intermediate physical states $K_1(1270)$ and $K_1(1400)$, the vector channel with intermediate $K^{\ast }(892)$ meson and the pseudoscalar channel with intermediate $K$ meson. It is shown that the first two channels give the dominant contribution to the decay width. Of the remaining two channels, the pseudoscalar channel plays a more prominent role. The final result is in satisfactory agreement with experimental data. Prediction for the differential decay width is presented.

arXiv comment4 pages, 3 figures

References in corpus (8)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• A chiral Lagrangian for excited pions
• Theory of tau mesonic decays
• Scalar mesons in the Nambu--Jona-Lasinio model with 't Hooft interaction
• U(3)_{L}\times U(3)_{R} Chiral Theory of Mesons
• ${\tau }^{-}\to {\nu }_{\tau }{M}_1{M}_2$, with $M_1,M_2$ pseudoscalar or vector mesons
• 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

Cited by in corpus (1)

• Tau decay into ${\nu }_{\tau }$ and $a_1(1260)$, $b_1(1235)$, and two $K_1(1270)$