Information on the structure of the a1 from tau decay

Abstract

The decay $\tau \to \pi \pi \pi \nu$ is analysed using different methods to account for the resonance structure, which is usually ascribed to the a1. One scenario is based on the recently developed techniques to generate axial-vector resonances dynamically, whereas in a second calculation the a1 is introduced as an explicit resonance. We investigate the influence of different assumptions on the result. In the molecule scenario the spectral function is described surprisingly well by adjusting only one free parameter. This result can be systematically improved by adding higher order corrections to the iterated Weinberg-Tomozawa interaction. Treating the a1 as an explicit resonance on the other hand leads to peculiar properties.

References in corpus (3)

• Infrared regularization for spin-1 fields
• On different lagrangian formalisms for vector resonances within chiral perturbation theory
• Selfconsistent approximations, symmetries and choice of representation

Cited by in corpus (10)

• Beyond the rainbow: effects from pion back-coupling
• On the radiative decays of light vector and axial-vector mesons
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Tau decay and the structure of the a1
• Theoretical description of the $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1380)$, $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1170)$ and $\mathbf{J}/\mathbf{\psi }\to {\mathbf{\pi }}^0{\mathbf{b}}_1(1235{)}^0$ reactions
• 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 $K_1(1270)$
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
• SU(5) unification of two triplet seesaw and leptogenesis with dark matter and vacuum stability