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

A.A. Penin , A. Pineda , V.A. Smirnov , M. Steinhauser

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classification ✦ hep-ph hep-ex

keywords groupnonrelativisticrenormalizationsplittingalphaapproximationcharm-bottomcomposed

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

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