====== TTP04-06 $M(B^*_c)-M(B_c)$ Splitting from Nonrelativistic Renormalization Group ====== We compute the hyperfine splitting in a heavy quarkonium composed of different flavors in next-to-leading logarithmic approximation using the nonrelativistic renormalization group. We predict the mass difference of the vector and pseudoscalar charm-bottom mesons to be $M(B^*_c)-M(B_c)=65 \pm 24\,{(\rm th)}\,{}^{+19}_{-16}\,(\delta\alpha_s)$~MeV. |**A.A. Penin, A. Pineda, V.A. Smirnov, M. Steinhauser** | |** Phys.Lett. B593 124-134 2004 ** | | {{preprints:2004:ttp04-06.pdf|PDF}} {{preprints:2004:ttp04-06.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0403080|arXiv]] | | |