TTP04-06 $M(B^*_c)-M(B_c)$ Splitting from Nonrelativistic Renormalization Group

TTP04-06 $M(B^*_c)-M(B_c)$ Splitting from Nonrelativistic Renormalization Group

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
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