Resonance Chiral Lagrangian analysis of ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays

Abstract

The hadronization structure of ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays is analyzed using Chiral Perturbation Theory with resonances, considering only the contribution of the lightest meson resonances at leading order in the $1/N_C$ expansion. After imposing the asymptotic behavior of vector spectral functions ruled by QCD, unknown effective couplings are determined by fitting the ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ branching ratio and decay spectrum to recent data. Predictions for the partner decay ${\tau }^{-}\to {\eta }^{\prime }{\pi }^{-}{\pi }^0{\nu }_{\tau }$ and the low-energy behavior of the cross section $\sigma (e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-})$ are also discussed.

21 pages, 5 figures, v2: Title changed, references added and rewriting of some sentences. It matches the published version in PRD

References in corpus (14)

• Towards a consistent estimate of the chiral low-energy constants
• Form Factors in the radiative pion decay
• Spectral distribution for the decay tau -> nu_tau K pi
• K pi vector form factor, dispersive constraints and tau -> nu_tau K pi decays
• One meson radiative tau decays
• What can be learned from the Belle spectrum for the decay tau- -> nu_tau K_S pi-
• Analyticity constraints on the strangeness changing vector current and applications to $\tau \to K\pi {\nu }_{\tau }$, $\tau \to K\pi \pi {\nu }_{\tau }$
• K pi vector form factor constrained by tau ---> K pi nu_tau and K_l3 decays
• Study of tau- --> V P- nu(tau) in the framework of resonance chiral theory
• Chiral dynamics predictions for eta' -> eta pi pi
• Tau Physics: Theory Overview
• $O(p^6)$ extension of the large--$N_C$ partial wave dispersion relations
• Basics of Resonance Chiral Theory
• Hadronic decays of the tau lepton: Theoretical outlook

Cited by in corpus (30)

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• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Consistent high-energy constraints in the anomalous QCD sector
• Predictions on the second-class current decays ${\tau }^{-}\to {\pi }^{-}{\eta }^{(\prime )}{\nu }_{\tau }$
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\eta$ using initial state radiation
• The weak radiative pion vertex in τ^- ->π^-ν_τl^+ l^- decays
• Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Measurement of the Born cross sections for $e^{+}{e}^{-}\to {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ at center-of-mass energies between $2.00$ and $3.08$ GeV
• Triangle singularity in ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{f}_0(980)$ ($a_0(980)$) decays
• The process $e^{+}{e}^{-}\to \eta ({\eta }^{\prime })2\pi$ in the extended NJL model
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• One-loop determination of $\tau \to \pi (K){\nu }_{\tau }[\gamma ]$ branching ratios and new physics tests
• The decay $\tau \to f_1\pi {\nu }_{\tau }$ in the Nambu--Jona-Lasinio model
• The decay $\tau \to K^{-}{\pi }^0{\nu }_{\tau }$ in the Nambu-Jona-Lasinio model
• The decay $\tau \to K^0{K}^{-}{\nu }_{\tau }$ in the extended Nambu-Jona-Lasinio model
• Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions
• Lepton-pair production in di-pion $\tau$ lepton decays
• 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
• Production of $\rho (770)$, $\eta$ pairs in the decays $\rho (1450)\to \rho (770)\eta$, $\tau \to \rho (770)\eta {\nu }_{\tau }$, and in the process of $e^{+}{e}^{-}\to \rho (770)\eta$ in the Extended Nambu - Jona-Lasinio model
• Vector and Axial-vector form factors in radiative kaon decay and flavor SU(3) symmetry breaking
• 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
• Improved description of di-lepton production in ${\tau }^{-}\to {\nu }_{\tau }{P}^{-}$ decays
• Theoretical inputs and errors in the new hadronic currents in TAUOLA
• Pion radiative weak decay from the instanton vacuum
• Towards the (Mexican) discovery of second class currents at Belle-II
• Dispersive analysis of ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ Belle data
• Resonance Chiral Lagrangians and alternative approaches to hadronic tau decays