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Cancellation of Infrared Divergences in Hadronic Annihilation Decays of Heavy Quarkonia

Han-Wen Huang·Kuang-Ta Chao
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Abstract

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 $α_s$, 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 $α_s$.

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Han-Wen Huang, Kuang-Ta Chao. 1996-10-18. Cancellation of Infrared Divergences in Hadronic Annihilation Decays of Heavy Quarkonia. https://doi.org/10.1103/physrevd.55.244

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