Renormalons in electromagnetic annihilation decays of quarkonium
- Physics Department, Ohio State University, Columbus, Ohio43210 (United States)
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}{r_arrow}e{sup +}e{sup {minus}} and {eta}{sub c}{r_arrow}{gamma}{gamma}. The short-distance coefficients of the leading matrix elements are calculated to all orders in the large-N{sub 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{sup 2}. Our results are used to estimate the coefficients of higher order radiative corrections in the decay rates for J/{psi}{r_arrow}e{sup +}e{sup {minus}}, {eta}{sub c}{r_arrow}{gamma}{gamma}, and J/{psi}{r_arrow}{gamma}{gamma}{gamma}. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 624776
- Journal Information:
- Physical Review, D, Vol. 57, Issue 7; Other Information: PBD: Apr 1998
- Country of Publication:
- United States
- Language:
- English
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