====== TTP01-22 Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum ======
 
 
   <hidden TTP01-22  Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum > We complete the leading-log renormalization group scaling of the NRQCD
 Lagrangian at $O(1/m^2)$. The next-to-next-to-leading-log
 renormalization group scaling of the potential NRQCD Lagrangian (as far
 as the singlet is concerned) is also obtained in the situation
 $m\alpha_s \gg \Lambda_{QCD}$. As a by-product, we obtain the heavy
 quarkonium spectrum with the same accuracy in the situation $m\alpha_s^2
 \simg \Lambda_{QCD}$. When $\Lambda_{QCD} \ll m\alpha_s^2$, this is
 equivalent to obtain the whole set of $O(m\alpha_s^{(n+4)} \ln^n
 \alpha_s)$ terms in the heavy quarkonium spectrum. The implications of
 our results in the non-perturbative situation $m\alpha_s \sim
 \Lambda_{QCD}$ are also mentioned.
 </hidden>
|**Antonio Pineda**  | 
|**  Phys. Rev. D  65 074007 2002  **  |
| {{preprints:2001:ttp01-22.pdf|PDF}} {{preprints:2001:ttp01-22.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0109117|arXiv]]   |
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