${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ decay in the extended NJL model

Abstract

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.

5 pages, 3 figures, 1 table

References in corpus (4)

• rho^0-gamma mixing in the neutral channel pion form factor |F_pi|^2 and its role in comparing e^+ e^- with tau spectral functions
• Pion radiative weak decays in nonlocal chiral quark models
• Processes $e^{+}{e}^{-}\to {\pi }^0({{\pi }^0}^{\prime })\gamma$ in the NJL model
• Hadronic decays of the tau lepton: Theoretical outlook

Cited by in corpus (10)

• The decays ${\rho }^{-}\to \eta {\pi }^{-}$ and ${\tau }^{-}\to \eta ({\eta }^{\prime }){\pi }^{-}\nu$ in the NJL model
• The decay $\tau \to \pi \omega \nu$ in the extended NJL model
• The process $e^{+}{e}^{-}\to \eta ({\eta }^{\prime })2\pi$ 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 decay $\tau \to K^{-}{\pi }^0{\nu }_{\tau }$ in the Nambu-Jona-Lasinio model
• Radially Excited Axial-Vector Mesons in the extended Nambu--Jona-Lasinio model
• 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
• Radiative decays of radially excited pseudoscalar mesons in the extended Nambu--Jona-Lasinio model
• The decay $\tau \to K^{\ast 0}(892)K^{-}{\nu }_{\tau }$ in the extended NJL model