QCD Radiative Correction to the Hadronic Annihilation Rate of $1^{+-}$ Heavy Quarkonium

Details QCD Radiative Correction to the Hadronic Annihilation Rate of $1^{+-}$ Heavy Quarkonium QCD Radiative Correction to the Hadronic Annihilation Rate of $1^{+-}$ Heavy Quarkonium

1996-01-17

arxiv.org/abs/hep-ph/9601283v4

Phys.Rev.D54:3065-3072,1996; Erratum-ibid.D56:7472,1997; Erratum-ibid.D60:079901,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages latex (6 figures included). In this revised version a update reference and acknowledgement are included

Scientific paper

10.1103/PhysRevD.54.3065

Hadronic annihilation rate of $1^{+-}$ heavy quarkonium is given to next-to-leading order in $\alpha_s$ and leading order in $v^2$ using a recently developed factorization formalism which is based on NRQCD. The result includes both the annihilation of P-wave color-singlet $Q\bar{Q}$ component, and the annihilation of S-wave color-octet $Q\bar{Q}$ component of the quarkonium. The notorious infrared divergences due to soft gluons, i.e., the Logarithms associated with the binding energy, encountered in previous perturbative calculations of $1^{+-}$ quarkonium decays are found to be explicitly cancelled, and a finite result for the decay width to order $\alpha_s^3$ is then obtained.

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