Power corrections to the space-like transition form factor F_{η^{\prime}g^{*}g^{*}}(Q^2,ω)

Abstract

Employing the standard hard-scattering approach (HSA) in conjunction with the running-coupling (RC) method, the latter joined with the infrared-renormalon calculus, we compute power-suppressed corrections $\sim 1/Q^{2n},n=1,2,...$ to the massless ${\eta }^{\prime }$ meson - virtual gluon transition form factor (FF) $Q^2{F}_{{\eta }^{\prime }{g}^{\ast }{g}^{\ast }}(Q^2,\omega )$. Contributions to the form factor from the quark and gluon components of the ${\eta }^{\prime }$ meson are taken into account. Analytic expressions for the FF's $F_{{\eta }^{\prime }g{g}^{\ast }}(Q^2,\omega =\pm 1)$ and $F_{{\eta }^{\prime }{g}^{\ast }{g}^{\ast }}(Q^2,\omega =0)$ are also presented, as well as Borel transforms $B[Q^2{F}_{{\eta }^{\prime }{g}^{\ast }{g}^{\ast }}](u)$ and resummed expressions. It is shown that except for $\omega =\pm 1,0$, the Borel transform contains an infinite number of infrared renormalon poles. It is demonstrated that in the explored range of the total gluon virtuality $1{\mathrm{GeV}}^2\le {\mathrm{Q}}^2\le 25{\mathrm{GeV}}^2$, power corrections found with the RC method considerably enhance the FF $F_{{\eta }^{\prime }{g}^{\ast }{g}^{\ast }}(Q^2,\omega )$ relative to results obtained only in the context of the standard HSA with a ``frozen'' coupling.

38 pages, RevTeX4 used. 18 figures as PS/EPS files. Discussion extended; some typos corrected; change of renormalization scale to 1 GeV. Main results unchanged. Matches version to be published in Eur. Phys. J. C

References in corpus (6)

• Flavor-Singlet B-Decay Amplitudes in QCD Factorization
• Resummed event-shape variables in DIS
• The two-gluon components of the eta and eta' mesons to leading-twist accuracy
• Measurement of Gamma(phi -> eta' gamma)/Gamma(phi -> eta gamma) and the pseudoscalar mixing angle
• Tests of Power Corrections for Event Shapes in e+e- Annihilation
• A gluonic mechanism for B --> D eta'

Cited by in corpus (9)

• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• The gluon content of the $\eta$ and ${\eta }^{\prime }$ mesons and the $\eta \gamma$, ${\eta }^{\prime }\gamma$ electromagnetic transition form factors
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• Power corrections to the ${\pi }^0\gamma$ transition form factor and pion distribution amplitudes
• Strong $D_s^{\ast }{D}_s{\eta }^{(\prime )}$ and $B_s^{\ast }{B}_s{\eta }^{(\prime )}$ vertices from QCD light-cone sum rules
• Wilson lines - color charge densities correlators and the production of eta' in the CGC for pp and pA collisions
• Power corrections to the process ${\gamma }^{\ast }\gamma \to \pi \pi$ in the running coupling method
• Soft end-point and mass corrections to the eta' g*g* vertex function