$\tau$ decay into a pseudoscalar and an axial-vector meson

Abstract

We study theoretically the decay ${\tau }^{-}\to {\nu }_{\tau }{P}^{-}A$, with $P^{-}$ a ${\pi }^{-}$ or $K^{-}$ and $A$ an axial-vector resonance $b_1(1235)$, $h_1(1170)$, $h_1(1380)$, $a_1(1260)$, $f_1(1285)$ or any of the two poles of the $K_1(1270)$. The process proceeds through a triangle mechanism where a vector meson pair is first produced from the weak current and then one of the vectors produces two pseudoscalars, one of which reinteracts with the other vector to produce the axial resonance. For the initial weak hadronic production we use a recent formalism to account for the hadronization after the initial quark-antiquark pair produced from the weak current, which explicitly filters G-parity states and obtain easy analytic formulas after working out the angular momentum algebra. The model also takes advantage of the chiral unitary theories to evaluate the vector-pseudoscalar amplitudes, where the axial-vector resonances were obtained as dynamically generated from the VP interaction. We make predictions for invariant mass distribution and branching ratios for the channels considered.

arXiv comment25 pages, 14 figures, 6 tables

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Cited by in corpus (12)

• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Discerning the two $K_1(1270)$ poles in $D^0\to {\pi }^{+}VP$ decay
• Signatures of the two $K_1(1270)$ poles in $D^{+}\to \nu e^{+}VP$ decay
• 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
• Tau decay into ${\nu }_{\tau }$ and $a_1(1260)$, $b_1(1235)$, and two $K_1(1270)$
• Inconsistency of the data on the $K_1(1270)\to \pi K_0^{\ast }(1430)$ decay width
• The role of triangle singularity in the decay process $D^0\to {\pi }^{+}{\pi }^{-}{f}_0(980),f_0\to {\pi }^{+}{\pi }^{-}$
• Observation of the singly Cabibbo suppressed decay $D^0\to b_1(1235{)}^{-}{e}^{+}{\nu }_e$ and evidence for $D^{+}\to b_1(1235{)}^0{e}^{+}{\nu }_e$
• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays