tau -> pi pi pi nu_tau decays and the a_1(1260) off-shell width revisited

Abstract

The tau -> pi pi pi nu_tau decay is driven by the hadronization of the axial-vector current. Within the resonance chiral theory, and considering the large-Nc expansion, this process has been studied in Ref.[1]. In the light of later developments we revise here this previous work by including a new off-shell width for the lightest a_1 resonance that provides a good description of the tau -> pi pi pi nu_tau spectrum and branching ratio. We also consider the role of the rho(1450) resonance in these observables. Thus we bring in an overall description of the tau -> pi pi pi nu_tau process in excellent agreement with our present experimental knowledge.

15 pages, 3 figures

References in corpus (2)

• Form Factors in the radiative pion decay
• Hadron structure in tau -> KKpi nu_tau decays

Cited by in corpus (66)

• Precision Tau Physics
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Resonance Chiral Lagrangian Currents and Experimental Data for ${\tau }^{-}\to {\pi }^{-}{\pi }^{-}{\pi }^{+}{\nu }_{\tau }$
• Resonance chiral Lagrangian currents and tau decay Monte Carlo
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• Hadron structure in tau -> KKpi nu_tau decays
• One meson radiative tau decays
• Dispersive representation of the pion vector form factor in $\tau \to \pi \pi {\nu }_{\tau }$ decays
• Asymptotic behavior of meson transition form factors
• 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
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Resonance Chiral Lagrangian analysis of ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Pole position of the $a_1(1260)$ from $\tau$-decay
• Composite and elementary natures of a1(1260) meson
• ${\tau }^{-}\to K^{-}{\eta }^{(\prime )}{\nu }_{\tau }$ decays in Chiral Perturbation Theory with Resonances
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• The weak radiative pion vertex in τ^- ->π^-ν_τl^+ l^- decays
• On meson dominance in the `second class' tau \to eta pi nu_tau decay
• Holography, chiral Lagrangian and form factor relations
• The electric dipole moment of the tau lepton revisited
• Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation
• Lepton-flavour violation in hadronic tau decays and $\mu -\tau$ conversion in nuclei
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Triangle singularity in ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{f}_0(980)$ ($a_0(980)$) decays
• On the branching ratio of the "second class" tau --> eta' pi nu_tau decay
• Search for sterile neutrinos decaying into pions at the LHC
• Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ annihilation and their contributions to $(g-2{)}_{\mu }$
• Deep learning approach to the Higgs boson CP measurement in H to tau tau decay and associated systematics
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ 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
• Axial-vector mesons from $\tau \to AP{\nu }_{\tau }$ decays
• Spectral functions of nucleon form factors: Three-pion continua at low energies
• Zeros of the W_L Z_L -> W_L Z_L amplitude: where vector resonances stand
• The decay $\tau \to f_1\pi {\nu }_{\tau }$ in the Nambu--Jona-Lasinio model
• Hadronic currents for ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ and other decays of interest in TAUOLA
• Axial-vector exchange contribution to the Hyperfine Splitting
• e+e- annihilation to (pi0 pi0 gamma) and (pi0 eta gamma) as a source of information on scalar and vector mesons
• Triple-product asymmetry in the radiative two-pion tau decay
• 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
• Tau decay into ${\nu }_{\tau }$ and $a_1(1260)$, $b_1(1235)$, and two $K_1(1270)$
• Radially Excited Axial-Vector Mesons in the extended Nambu--Jona-Lasinio model
• Second-class current effects from isospin breaking in tau-->omega pi nu_tau
• Decay rates $f_1(1285)\to {\rho }^0{\pi }^{+}{\pi }^{-}$ and $a_1(1260)\to \omega {\pi }^{+}{\pi }^{-}$ in the Nambu -- Jona-Lasinio model
• Refining the scalar and tensor contributions in $\tau \to \pi \pi \pi {\nu }_{\tau }$ decays
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
• Improved description of di-lepton production in ${\tau }^{-}\to {\nu }_{\tau }{P}^{-}$ decays
• TAUOLA for simulation of tau decay and production: perspectives for precision low energy and LHC applications
• A study on the correlation between poles and cuts in $\pi \pi$ scattering
• Study of $a_1(1260)$ in the $\gamma p\to {\pi }^{+}{\pi }^{+}{\pi }^{-}n$ reaction
• $\tau \to {\nu }_{\tau }{\rho }^0{\pi }^{-}$ decay in the Nambu - Jona-Lasinio model
• Light-flavor resonance dynamics in the $U(3)$ chiral theory
• RChL currents in Tauola: implementation and fit parameters
• Confronting generalized hidden local symmetry chiral model with the ALEPH data on the decay tau^- to pi^+ pi^- pi^- nu_tau
• Study of predominant hadronic modes of $\tau$-lepton using a Monte Carlo generator TAUOLA
• Analysis of BaBar data for three meson tau decay modes using the Tauola generator
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• ${\tau }^{-}\to {\pi }^{-}\gamma {\nu }_{\tau }$ as a source of background on the Lepton Flavour Violating decay ${\tau }^{-}\to {\mu }^{-}\gamma$
• Hadronic and radiative decays of the tau lepton
• Resonance Chiral Lagrangians and alternative approaches to hadronic tau decays
• Determining Strong Phase of $a_1$ Meson Decay Amplitude using $W\to \nu \tau (\to \nu a_1(\to {\pi }^{\mp }{\pi }^{\mp }{\pi }^{\pm }))$ Process
• New hadronic currents in TAUOLA: for confrontation with the experimental data
• About The Polarized $\tau$ Lepton Radiative Decay
• Dispersive analysis of ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ Belle data