Finite size vertex corrections to the three-gluon decay widths of $J/ψ$ and $Υ$ and a redetermination of $α_s(μ)$ at $μ=m_c$ and $m_b$

Details Finite size vertex corrections to the three-gluon decay widths of $J/ψ$ and $Υ$ and a redetermination of $α_s(μ)$ at $μ=m_c$ and $m_b$ Finite size vertex corrections to the three-gluon decay widths of $J/ψ$ and $Υ$ and a redetermination of $α_s(μ)$ at $μ=m_c$ and $m_b$

1994-01-11

arxiv.org/abs/hep-ph/9401233v1

Phys.Lett. B324 (1994) 482-486

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, HD-TVP-93-04

Scientific paper

10.1016/0370-2693(94)90227-5

We calculate the corrections to the three-gluon decay widths $\Gamma_{3g}$ of $c\bar c$ and $b \bar b$ quarkonia due to the finite extension of the $Q\bar Q\to 3g$ vertex function. The widths computed with zero range vertex are reduced by a factor $\gamma$ where $\gamma=0.31$ for the $J/\psi$ and $\gamma=0.69$ for the $\Upsilon$. These large corrections necessitate a redetermination of the values $\alpha_s(\mu)$ extracted from $\Gamma_{3g}$. We find $\alpha_s(m_c)=0.28\pm.01$ and $\alpha_s(m_b)=0.20\pm.01$.

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