6533b81ffe1ef96bd1278eb4

RESEARCH PRODUCT

η′transition form factor from space- and timelike experimental data

subject

description

The ${\ensuremath{\eta}}^{\ensuremath{'}}$ transition form factor is reanalyzed in view of the recent first observation by BESIII of the Dalitz decay ${\ensuremath{\eta}}^{\ensuremath{'}}\ensuremath{\rightarrow}\ensuremath{\gamma}{e}^{+}{e}^{\ensuremath{-}}$ in both space- and timelike regions at low and intermediate energies using the Pad\'e approximants method. The present analysis provides a suitable parametrization for reproducing the measured form factor in the whole energy region and allows one to extract the corresponding low-energy parameters together with a prediction of their values at the origin, related to ${\mathrm{\ensuremath{\Gamma}}}_{{\ensuremath{\eta}}^{\ensuremath{'}}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}}$, and the asymptotic limit. The $\ensuremath{\eta}--{\ensuremath{\eta}}^{\ensuremath{'}}$ mixing is reassessed within a mixing scheme compatible with the large-${N}_{c}$ chiral perturbation theory at next-to-leading order, with particular attention to the Okubo-Zweig-Iizuka-rule-violating parameters. The $J/\ensuremath{\psi}$, $Z\ensuremath{\rightarrow}{\ensuremath{\eta}}^{(\ensuremath{'})}\ensuremath{\gamma}$ decays are also considered and predictions are reported.