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An analysis of the inclusive decay \(\Upsilon (1S) \to \eta^\prime X\) and constraints on the \(\eta^\prime\)-meson distribution amplitudes

  • A. Ali
  • A. Ya Parkhomenko
theoretical physics

Abstract.

We calculate the \(\eta^\prime\)-meson energy spectrum in the decay \(\Upsilon (1S) \to \eta^\prime g g g \to \eta^\prime X\) in leading-order perturbative QCD in the static quark limit for orthoquarkonium. Our principal result is the extraction of parameters of the \(\eta^\prime g^* g\) effective vertex function (EVF) involving a virtual and a real gluon from the available data on the hard part of the \(\eta^\prime\)-meson energy spectrum. The perturbative-QCD based framework provides a good description of the available CLEO data, allowing one to constrain the lowest Gegenbauer coefficients B(q)2 and B(g)2 of the quark-antiquark and gluonic distribution amplitudes of the \(\eta^\prime\)-meson. The resulting constraints are combined with the existing ones on these coefficients from an analysis of the \(\eta\)-\(\gamma\) and \(\eta^\prime\)-\(\gamma\) transition form factors and the requirement of positivity of the EVF, yielding \(B^{(q)}_2(\mu_0^2) = -0.008 \pm 0.054\) and \(B^{(g)}_2(\mu_0^2) = 4.6 \pm 2.5\) for \(\mu_0^2 = 2\) GeV2. This significantly reduces the current uncertainty on these coefficients. The resulting EFV \(F_{\eta^\prime g^* g} (p^2, 0, m_{\eta^\prime}^2)\), including the \(\eta^\prime\)-meson mass effects, is presented.

Keywords

Form Factor Transition Form Mass Effect Distribution Amplitude Principal Result 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • A. Ali
    • 1
  • A. Ya Parkhomenko
    • 2
  1. 1.Theory DivisionCERNGeneva 23Switzerland
  2. 2.Institut für Theoretische PhysikUniversität BernBernSwitzerland

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