Renormalons in Electromagnetic Annihilation Decays of Quarkonium

Abstract

We study the large-order asymptotic behavior of the perturbation series for short-distance coefficients in the NRQCD factorization formulas for the decays J/psi --> e^+e^- and eta_c --> gamma gamma. The short-distance coefficients of the leading matrix elements are calculated to all orders in the large-N_f limit. We find that there is a universal Borel resummable renormalon associated with the cancellation of the Coulomb singularity in the short-distance coefficients. We verify that the ambiguities in the short-distance coefficients from the first infrared renormalon are canceled by ambiguities in the nonperturbative NRQCD matrix elements that contribute through relative order v^2. Our results are used to estimate the coefficients of higher order radiative corrections in the decay rates for J/psi --> e^+ e^-, eta_c --> gamma gamma, and J/ψ--> gamma gamma gamma.

The revised version changed the error of the renormalization of the Borel transforms

References in corpus (2)

• Annihilation of S-wave quarkonia and the measurement of alpha_s
• Calculation of P-Wave Charmonium Decay Rates Using Dimensional Regularization

Cited by in corpus (31)

• Effective field theories for heavy quarkonium
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• The Renormalization Scale-Setting Problem in QCD
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• Spin Dependence of Heavy Quarkonium Production and Annihilation Rates: Complete Next-to-Next-to-Leading Logarithmic result
• New predictions for inclusive heavy-quarkonium P-wave decays
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into Two Virtual Photons
• Charmonium decays: J/psi --> e+e- and eta_c --> gamma gamma
• Three-loop matching of the vector current
• Power counting and effective field theory for charmonium
• Reanalysis of the BFKL Pomeron at the next-to-leading logarithmic accuracy
• Higher Order Corrections to the Cross Section of e+e- to Quarkonium plus gamma
• Color-singlet relativistic correction to inclusive $J/\psi$ production associated with light hadrons at $B$ factories
• Double charmonium production at B-factories within light cone formalism
• Renormalon Ambiguities in NRQCD Operator Matrix Elements
• $J/\psi +{\chi }_{cJ}$ Production at the $B$ Factories under the Principle of Maximum Conformality
• The gluon content of the $\eta$ and ${\eta }^{\prime }$ mesons and the $\eta \gamma$, ${\eta }^{\prime }\gamma$ electromagnetic transition form factors
• The study of double vector charmonium mesons production at B-factories within light cone formalism
• Resummation of QCD Corrections to the eta_c Decay Rate
• The QCD improved electroweak parameter $\rho$
• Relativistic corrections to exclusive ${\chi }_{cJ}+\gamma$ production from $e^{+}{e}^{-}$ annihilation
• Inclusive decays of ${\eta }_c$ and ${\eta }_b$ at NNLO with large $n_f$ resummation
• Reconciling the nonrelativistic QCD prediction and the $J/\psi \to 3\gamma$ data
• Three Photon Decay of $J/\psi$ from Lattice QCD
• Power corrections to the process ${\gamma }^{\ast }\gamma \to \pi \pi$ in the running coupling method
• Mass of nonrelativistic meson from leading twist distribution amplitudes
• Non-relativistic high-energy physics: top production and dark matter annihilation
• The Principle of Maximum Conformality Correctly Resolves the Renormalization-Scheme-Dependence Problem
• Background field method in the large $N_f$ expansion of scalar QED
• Properties of the quark-antiquark-gluon Fock state in the η_c meson