The gluon content of the $\eta$ and ${\eta }^{\prime }$ mesons and the $\eta \gamma$, ${\eta }^{\prime }\gamma$ electromagnetic transition form factors

Abstract

We compute power-suppressed corrections to the ηγand η^{\prime}γtransition form factors Q^2F_{η(η^{\prime})γ}(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 η,η^{\prime} mesons is taken into account using for the η-η^{\prime} mixing the SU_f(3) singlet η_1 and octet η_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(η_1), B_2^g(η_1), and B_2^q(η_8) in the distribution amplitudes for the η_1,η_8 states with one nonasymptotic term are deduced. Comparison is made with the results from QCD perturbation theory.

25 pages, RevTeX4 used. 9 figures as EPS files. Text significantly changed to include variation of theoretical parameters. Figures modified. Corrected typo in equation (34) and trivial mistake in ${\beta }_1$-coefficient. References added. Conclusions unchanged

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• The two-gluon components of the eta and eta' mesons to leading-twist accuracy
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Cited by in corpus (15)

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• Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors
• Modeling interactions of photons with pseudoscalar and vector mesons
• The eta (eta') gamma transition form factor and the gluon-gluon distribution amplitude
• Determination of the $\eta$ and ${\eta }^{\prime }$ Mixing Angle from the Pseudoscalar Transition Form Factors
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• The eta-photon transition form factor
• Higher twist distribution amplitudes of the pion and electromagnetic form factor $F_{\pi }(Q^2)$
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• $\eta$-$\gamma$ and ${\eta }^{\prime }$-$\gamma$ transition form factors in a nonlocal NJL model
• Quark distributions and gluon contents of eta and etaprime
• Sub-leading power corrections to transition form factors of $\eta$ and ${\eta }^{\prime }$ mesons from twist-six contributions
• Soft end-point and mass corrections to the eta' g*g* vertex function