The gluon content of the $η$ and $η^{\prime}$ mesons and the $ηγ$, $η^{\prime}γ$ electromagnetic transition form factors

Details The gluon content of the $η$ and $η^{\prime}$ mesons and the $ηγ$, $η^{\prime}γ$ electromagnetic transition form factors The gluon content of the $η$ and $η^{\prime}$ mesons and the $ηγ$, $η^{\prime}γ$ electromagnetic transition form factors

2003-07-07

arxiv.org/abs/hep-ph/0307087v3

Phys.Rev. D70 (2004) 054020

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, RevTeX4 used. 9 figures as EPS files. Text significantly changed to include variation of theoretical parameters. Fig

Scientific paper

10.1103/PhysRevD.70.054020

We compute power-suppressed corrections to the \eta\gamma and \eta^{\prime}\gamma transition form factors Q^2F_{\eta(\eta^{\prime})\gamma}(Q^2) arising from the end point regions x \to 0,1 by employing the infrared-renormalon approach. The contribution to the form factors from the quark and gluon content of the \eta,\eta^{\prime} mesons is taken into account using for the \eta-\eta^{\prime} mixing the SU_f(3) singlet \eta_1 and octet \eta_8 basis. The theoretical predictions obtained this way are compared with the corresponding CLEO data and restrictions on the input parameters (Gegenbauer coefficients) B_2^q(\eta_1), B_2^g(\eta_1), and B_2^q(\eta_8) in the distribution amplitudes for the \eta_1,\eta_8 states with one nonasymptotic term are deduced. Comparison is made with the results from QCD perturbation theory.

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