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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.
Forward citations
Cited by 5 Pith papers
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Factorizing quarkonium production matrix elements using effective field theory
Factorizes NRQCD production matrix elements for S- and P-wave quarkonia into wavefunctions and universal chromo-electric/magnetic gluon correlators via hybrid vNRQCD/pNRQCD and Hubbard-Stratonovich transformation at l...
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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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Impact of relativistic corrections to high-pT prompt-psi(2S) production at hadron colliders
Relativistic O(v^2) corrections to color-singlet fragmentation functions, especially for gluons, bring leading-power NRQCD predictions for prompt psi(2S) at high pT into agreement with LHC data without color-octet mat...
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Relativistic corrections and high-energy resummation for exclusive heavy quarkonium photoproduction
The O(v²) correction to the high-energy-resummed coefficient function for exclusive heavy-quarkonium photoproduction is derived and shown to be small but useful for stabilizing μ_F dependence.
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Double heavy quarkonia production with color-octet channels at Z factory and at the CEPC/FCC-ee
Color-octet channels are predicted to dominate many double heavy quarkonium production processes at future Z factories, with relativistic corrections suppressing charmonium rates by roughly a factor of two.
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