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arxiv hep-ph/0403080 v5 pith:7AF2WRXQ submitted 2004-03-08 hep-ph hep-ex

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

classification hep-ph hep-ex
keywords groupnonrelativisticrenormalizationsplittingalphaapproximationcharm-bottomcomposed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $M(B^*_c)-M(B_c)=46 \pm 15 {(\rm th)} {}^{+13}_{-11} (\delta\alpha_s)$ MeV.

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