Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD

Abstract

We update the theoretical framework for the QCD calculation of transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ at large photon virtualities including full next-to-leading order analysis of perturbative corrections, the charm quark contribution, and taking into account SU(3)-flavor breaking effects and the axial anomaly contributions to the power-suppressed twist-four distribution amplitudes. The numerical analysis of the existing experimental data is performed with these improvements.

23 pages, 6 figures

References in corpus (8)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Comparing antithetic trends of data for the pion-photon transition form factor
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• Next-to-leading-order time-like pion form factors in $k_T$ factorization
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios

Cited by in corpus (18)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Asymptotic behavior of meson transition form factors
• Modeling interactions of photons with pseudoscalar and vector mesons
• Subleading power corrections to the pion-photon transition form factor in QCD
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Open charm-bottom scalar tetraquarks and their strong decays
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• Resonance $X(4630)$
• Revisiting the radiative decays $J/\psi \to \gamma {\eta }^{(\prime )}$ in perturbative QCD
• $\eta$-$\gamma$ and ${\eta }^{\prime }$-$\gamma$ transition form factors in a nonlocal NJL model
• On some implications of the BaBar data on the ${\gamma }^{\ast }{\eta }^{\prime }$ transition form factor
• Gravitational form factors in the perturbative limit
• QCD analysis of the $P$-wave charmonium electromagnetic Dalitz decays $h_c\to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• Near-threshold structures in the $D_s^{+}{D}_s^{-}$ mass distribution of the decay $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$
• Light-cone sum rule approach for Baryon form factors