EPJ

2024 Impact factor 4.8
EPJ C - Particles and Fields
Particles and Fields
Eur. Phys. J. C 32, 507-528 (2004)
DOI: 10.1140/epjc/s2003-01463-2

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

S.S. Agaev1 and N.G. Stefanis2

1  The Abdus Salam International Centre for Theoretical Physics, 34014 Trieste, Italy
2  Institut für Theoretische Physik II, Ruhr-Universität Bochum, 44780 Bochum, Germany

This email address is being protected from spambots. You need JavaScript enabled to view it.
This email address is being protected from spambots. You need JavaScript enabled to view it.

(Received: 19 May 2003 / Revised version: 24 October 2003 / / Published online: 8 December 2003)

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,\ldots $ to the massless $\eta^{\prime}$-meson-virtual-gluon transition form factor (FF) $Q^2F_{\eta ^{\prime }g^{*}g^{*}}(Q^2,\omega)$. Contributions to the form factor from the quark and gluon components of the $\eta^{\prime}$ meson are taken into account. Analytic expressions for the FFs $F_{\eta^{\prime}gg^{*}}(Q^2,\omega=\pm 1)$ and $F_{\eta^{\prime}g^{*}g^{*}}(Q^2,\omega=0)$ are also presented, as well as Borel transforms $B[Q^{2}F_{\eta^{\prime}g^{*}g^{*}}](u)$ 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 $1 \, {\mathrm {GeV}}^{2} \leq Q^2 \leq 25 \,{\mathrm {GeV}}^{2}$ , power corrections found with the RC method considerably enhance the FF ${{F_{\eta^{\prime}g^{*}g^{*}}(Q^2,\omega )}}$ relative to results obtained only in the context of the standard HSA with a "frozen" coupling.



© Società Italiana di Fisica, Springer-Verlag 2004

Conference announcements