Two-photon decays and transition form factors of ${\pi }^0$, $\eta$, and ${\eta }^{\prime }$ in large-$N_c$ chiral perturbation theory

Abstract

We present a calculation of $P\to {\gamma }^{(\ast )}{\gamma }^{(\ast )}$ processes, where $P={\pi }^0,\eta ,{\eta }^{\prime }$, at the one-loop level up to and including next-to-next-to-leading order (NNLO) in large-$N_c$ chiral perturbation theory. The results are numerically evaluated successively at LO, NLO, and NNLO. The appearing low-energy constants are determined through fits to the available experimental data. We investigate the decay widths to real photons, the single-virtual transition form factors, and the widths of $P\to \gamma l^{+}{l}^{-}$, where $l=e,\mu$. Furthermore, we provide results for the slopes and curvatures of the transition form factors.

References in corpus (9)

• Study of the electromagnetic transition form-factors in η-> μ^+μ^-γand ω-> μ^+μ^-π^0 decays with NA60
• Dispersive analysis of the pion transition form factor
• Precision study of the $\eta \to {\mu }^{+}{\mu }^{-}\gamma$ and $\omega \to {\mu }^{+}{\mu }^{-}{\pi }^0$ electromagnetic transition form-factors and of the $\rho \to {\mu }^{+}{\mu }^{-}$ line shape in NA60
• Observation of the Dalitz Decay ${\eta }^{\prime }\to \gamma e^{+}{e}^{-}$
• Modeling interactions of photons with pseudoscalar and vector mesons
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Measurement of the ${\pi }^0$ electromagnetic transition form factor slope
• Measurement of the pi^0 -> e^+e^-gamma Dalitz decay at the Mainz Microtron
• Vector form factor of the pion in chiral effective field theory

Cited by in corpus (9)

• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Pion to photon transition form factors with basis light-front quantization
• Revisit of tensor-meson nonet in resonance chiral theory
• $1/N_c$ Nambu -- Jona-Lasinio model: Electrically charged and strange pseudoscalars
• Chiral dynamics with confinement versus the standard chiral theory
• $1/N_c$ Nambu -- Jona-Lasinio model: ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
• ${\eta }^{{(}^{\prime })}\to {\pi }^{+}{\pi }^{-}{\gamma }^{(\ast )}$ in large-$N_c$ chiral perturbation theory
• Measurement of the $\eta$ transition form factor through ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\eta$ decay