Renormalons in electromagnetic annihilation decays of quarkonium

Journal Article · Wed Apr 01 04:00:00 EST 1998 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.57.4236· OSTI ID:624776

Braaten, E; Chen, Y ^[1]

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1. 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, Journal Name: Physical Review, D Journal Issue: 7 Vol. 57; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ELECTRONS
ETA C-2980 MESONS
FACTORIZATION
J PSI-3097 MESONS
LEPTONIC DECAY
MATRIX ELEMENTS
PERTURBATION THEORY
POSITRONS
QUANTUM CHROMODYNAMICS
RADIATIVE CORRECTIONS
RADIATIVE DECAY
SINGULARITY