Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-05-20
Phys.Rev. D55 (1997) 244-248
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, LaTex(3 figures included), to be published
Scientific paper
10.1103/PhysRevD.55.244
In the framework of a newly developed factorization formalism which is based on NRQCD, explicit cancellations are shown for the infrared divergences that appeared in the previously calculated hadronic annihilation decay rates of P-wave and D-wave heavy quarkonia. We extend them to a more general case that to leading order in $v^2$ and next-to-leading order in $\alpha_s$, the infrared divergences in the annihilation amplitudes of color-singlet $Q\bar{Q}(^{2S+1}L_J)$ pair can be removed by including the contributions of color-octet operators $Q\bar{Q}(^{2S+1}(L-1)_{J'})$, $Q\bar{Q}(^{2S+1}(L-3)_{J''})$, ... in NRQCD. We also give the decay widths of $^3D_J\rightarrow LH$ at leading order in $\alpha_s$.
Chao Kuang-Ta
Huang Han-Wen
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