Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-10-14
Phys.Rev. D57 (1998) 4236-4253; Erratum-ibid. D59 (1999) 079901
Physics
High Energy Physics
High Energy Physics - Phenomenology
The revised version changed the error of the renormalization of the Borel transforms
Scientific paper
10.1103/PhysRevD.59.079901
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/\psi --> gamma gamma gamma.
Braaten Eric
Chen Yu-Qi
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