Tau decay and the structure of the a1

Abstract

We analyse the decay $\tau \to \pi \pi \pi \nu$ based on the recently developed techniques to generate axial-vector resonances dynamically. Under the assumption that the a1 is a coupled-channel meson-molecule, the spectral function is described surprisingly well by adjusting only one free parameter. Including, in addition, an elementary a1 corrupts the results.

Replaced figures, due to an error in the calculation, which we corrected. (Conclusions did not change.) Dropped last part discussing higher order effect in favour of further elucidation

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Cited by in corpus (18)

• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance
• Resonance Chiral Lagrangian Currents and Experimental Data for ${\tau }^{-}\to {\pi }^{-}{\pi }^{-}{\pi }^{+}{\nu }_{\tau }$
• Electromagnetic transition form factors of light vector mesons
• On the radiative decays of light vector and axial-vector mesons
• Dynamical generation and dynamical reconstruction
• Phenomenology of axial-vector and pseudovector mesons: decays and mixing in the kaonic sector
• Axial resonances a1(1260), b1(1235) and their decays from the lattice
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• The rho meson in a scenario of pure chiral restoration
• Sum rule analysis of vector and axial-vector spectral functions with excited states in vacuum
• Information on the structure of the rho meson from the pion form-factor
• Properties of hadrons in a chiral model with (axial-)vector mesons
• Why the $a_1$ meson might be a difficult messenger for the restoration of chiral symmetry
• The $\pi f_0(500)$ decay of the $a_1(1260)$
• Tau decay into ${\nu }_{\tau }$ and $a_1(1260)$, $b_1(1235)$, and two $K_1(1270)$