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 — preprints:1997:ttp97-33 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP97-33 Non-Abelian Dipole Radiation and the Heavy Quark Expansion ====== + + + Dipole radiation in QCD is derived to the second order in + $\alpha_s$. A power-like evolution of the spin-singlet heavy quark + operators is obtained to the same accuracy. We give an ${\cal + O}(\alpha_s^2)$ relation between the short-distance low-scale running + heavy quark mass and the $\overline{\rm MS}$ mass.  We discuss the + properties of an effective QCD coupling $\alpha_s^{(d)}(E)$ which + governs the dipole radiation. We argue that this coupling is + advantageous for describing heavy quark physics. + + |**Andrzej Czarnecki, Kirill Melnikov, and Nikolai Uraltsev**  | + |** Phys. Rev. Lett. 80 3189 1998  **  | + | {{preprints:1997:ttp97-33.pdf|PDF}} {{preprints:1997:ttp97-33.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9708372|arXiv]]   | + | |