Quantum loops in radiative decays of the $a_1$ and $b_1$ axial-vector mesons

Abstract

A previous model where the low-lying axial-vector mesons are dynamically generated, implementing unitarity in coupled channels in the vector-pseudoscalar ($VP$) meson interaction, is applied to evaluate the decay widths of the a_1(1260)$and$b_1(1235)$axial-vectormesonsinto$πγ$.Unlikethecaseofthe$a_1$,the$b_1$radiativedecayissystematicallyunderestimatedattreelevel.Inthisworkweevaluateforthefirsttimetheloopcontributioncomingfromaninitial$VP$vertex.Despitethelargesuperficialdivergenceoftheloops,theconvergenceoftherelevantloopscanbeestablishedbyusingargumentsofgaugeinvariance.Thepartialdecaywidthsobtainedagreeverywellwiththeexperimentalvalueswithinuncertainties,andshowthattheloopcontributioniscrucialinthe$b_1$caseandalsoimportantforthe$a_1$ case.

arXiv comment16 pages, 4 figurs Added extra discussion

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Cited by in corpus (23)

• Hidden gauge formalism for the radiative decays of axial-vector mesons
• On the radiative decays of light vector and axial-vector mesons
• Pseudocalar meson and vector meson interactions and dynamically generated axial-vector mesons
• Meson loops in the $f_0(980)$ and $a_0(980)$ radiative decays into $\rho$, $\omega$
• Revising the $f_1(1420)$ resonance
• Composite and elementary natures of a1(1260) meson
• The radiative decay of the $\Lambda (1405)$ and its two-pole structure
• The role of the N*(1535) resonance and the pi^- p --> KY amplitudes in the OZI forbidden pi N --> phi N reaction
• Determination of compositeness of the Lambda(1405) resonance from its radiative decay
• On the role of meson loops in the $f_0(1710)$ decay into $V\gamma$
• Radiative decays of $f_1(1285)$ as the $K^{\ast }\bar{K}$ molecular state
• 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
• Radiative decay into $\gamma P$ of the low lying axial-vector mesons
• Global analysis of charge exchange meson production at high energies
• Massive Yang-Mills for Vector and Axial-Vector Spectral Functions at Finite Temperature
• The three-pion decays of the $a_1(1260)$
• The role of $a_1(1260)$ in ${\pi }^{-}p\to a_1^{-}(1260)p$ and ${\pi }^{-}p\to {\pi }^{-}{\rho }^{0}p$ reactions near threshold
• On the absorption and production cross sections of $K$ and $K^{\ast }$
• Production of axial-vector mesons at $e^{+}{e}^{-}$ collisions with double-tagging as a way to constrain the axial meson LbL contribution to muon g-2 and/or hyperfine splitting of muonic hydrogen
• Tau decay into ${\nu }_{\tau }$ and $a_1(1260)$, $b_1(1235)$, and two $K_1(1270)$
• Study of $a_1(1260)$ in the $\gamma p\to {\pi }^{+}{\pi }^{+}{\pi }^{-}n$ reaction
• Amplitude Analysis of the Isospin-Violating Decay $J/\psi \to \gamma \eta {\pi }^0$
• 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