Annihilation of S-wave quarkonia and the measurement of alpha_s
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We analyze the relativistic corrections to annihilation rates of S-wave quarkonia within the framework of NRQCD. We show that order v^2 corrections can be expressed in terms of the heavy quark pole mass and the quarkonium mass. The ratio of hadronic to radiative annihilation rates for eta_b and eta_c can therefore be predicted accurately. The contributions of color-octet operators to the hadronic decay rates of spin-triplet quarkonia are shown to be significant, even though they arise at order v^4 in the velocity expansion. We provide a rough estimate of the color-octet contributions and extract the value of alpha_s from the experimental data on Upsilon decays.
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Semi-analytical results for $e^+e^-\to J/\psi + X_{{\rm non\,}c\bar{c}}$ up to $\mathcal{O}(\alpha_s v^2)$ at B factories
NRQCD calculation of O(α_s), O(v²) and first-time O(α_s v²) corrections to e⁺e⁻ → J/ψ + X_non c c̄, with r = m_c/√s expansions to r⁴⁰, yielding cross section 0.530 pb consistent with Belle but angular parameter deviating >2σ.
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