${\eta }^{{(}^{\prime })}\to {\pi }^{+}{\pi }^{-}{\gamma }^{(\ast )}$ in large-$N_c$ chiral perturbation theory

Abstract

We present a calculation of the decays ${\eta }^{{(}^{\prime })}\to {\pi }^{+}{\pi }^{-}{\gamma }^{(\ast )}$ at the one-loop level up to and including next-to-next-to-leading order (NNLO) in large-$N_c$ chiral perturbation theory. The numerical evaluation of the results is performed successively at LO, NLO, and NNLO, fitting the relevant low-energy constants to the available experimental data. We discuss the widths and decay spectra of ${\eta }^{{(}^{\prime })}\to {\pi }^{+}{\pi }^{-}\gamma$ as well as ${\eta }^{{(}^{\prime })}\to {\pi }^{+}{\pi }^{-}{l}^{+}{l}^{-}$, with $l=e,\mu$.

References in corpus (27)

• Large N_c in chiral perturbation theory
• Chiral Effective Lagrangian in the large-Nc limit: the nonet case
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Bounds on the light quark masses
• Dilepton Spectra from Decays of Light Unflavored Mesons
• Anomalous decay and scattering processes of the eta meson
• Model-independent approach to eta -> pi+ pi- gamma and eta' -> pi+ pi- gamma
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• A Global Treatment Of VMD Physics Up To The $\varphi$: I. $e^{+}{e}^{-}$ Annihilations, Anomalies And Vector Meson Partial Widths
• Chiral Anomaly and Eta-Eta' Mixing
• The branching ratio $\omega \to {\pi }^{+}{\pi }^{-}$ revisited
• Precision Study of ${\eta }^{\prime }\to \gamma {\pi }^{+}{\pi }^{-}$ Decay Dynamics
• Exclusive Measurement of the eta --> pi+ pi- gamma Decay
• Can One See the Number of Colors?
• eta, eta-prime --> pi+ pi- l+ l- in a chiral unitary approach
• The CP-violating asymmetry in η\toπ^+ π^- e^+e^-
• Anomalous $\eta /{\eta }^{\prime }$ Decays: The Triangle and Box Anomalies
• Allowed Eta Decay Modes and Chiral Symmetry
• The asymptotic behaviour of the ${\pi }^0$ ${\gamma }^{\ast }$ ${\gamma }^{\ast }$ vertex
• $\eta$-${\eta }^{\prime }$ Mixing in Large-$N_c$ Chiral Perturbation Theory
• Amplitude analysis of the anomalous decay ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$
• eta, eta-prime -> pi^+ pi^- gamma with coupled channels
• Anomalous decays of pseudoscalar mesons
• CP Violation in the Decay $\eta \to {\pi }^{+}{\pi }^{-}\gamma$
• Observation of ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$
• Two-photon decays and transition form factors of ${\pi }^0$, $\eta$, and ${\eta }^{\prime }$ in large-$N_c$ chiral perturbation theory
• Account for axial vector mesons in the $\eta \to {\pi }^{+}{\pi }^{-}\gamma$ and ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$ decays