The $η^\prime g^* g^*$ vertex with arbitrary gluon virtualities in the perturbative QCD hard scattering approach

Details The $η^\prime g^* g^*$ vertex with arbitrary gluon virtualities in the perturbative QCD hard scattering approach The $η^\prime g^* g^*$ vertex with arbitrary gluon virtualities in the perturbative QCD hard scattering approach

2000-12-17

arxiv.org/abs/hep-ph/0012212v3

Phys.Rev.D65:074020,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 19 figures (requires revtex4, amssymb, epsf); several typos corrected, this version now identical to the one accepte

Scientific paper

10.1103/PhysRevD.65.074020

We study the $\eta^\prime g^* g^*$ vertex for arbitrary gluon virtualities in the time-like and space-like regions, using the perturbative QCD hard scattering approach and an input wave-function of the $\eta^\prime$-meson consistent with the measured $\eta^\prime \gamma^* \gamma$ transition form factor. The contribution of the gluonic content of the $\eta^\prime$-meson is taken into account, enhancing the form factor over the entire virtuality considered. However, data on the electromagnetic transition form factor of the $\eta^\prime$-meson is not sufficient to quantify the gluonic enhancement. We also study the effect of the transverse momenta of the partons in the $\eta^\prime$-meson on the $\eta^\prime g^* g^*$ vertex, using the modified hard scattering approach based on Sudakov formalism. Analytic expressions for the $\eta^\prime g^* g^*$ vertex are presented in limiting kinematic regions and parametrizations are given satisfying the QCD anomaly, for real gluons, and perturbative QCD behavior for large gluon virtualities, in both the time-like and space-like regions. Our results have implications for the inclusive decay $B \to \eta^\prime X$ and exclusive decays, such as $B \to \eta^\prime (K,K^*)$, and in hadronic production processes $N + N (\bar N) \to \eta^\prime X$.

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