Abstract
We present a QCD analysis of heavy quark mesons focussing on the B → D* formfactor at zero recoil, F D* (1). An advanced treatment of the perturbative corrections in the Wilsonian approach is presented. We estimate the higher-order power corrections to the OPE sum rule and describe a refined analysis of the nonresonant continuum contribution. In the framework of a model-independent approach, we show that the inelastic contribution in the phenomenological part of the OPE is related to the m Q -dependence of the hyperfine splitting and conclude that the former is large, lowering the prediction for F D* (1) down to about 0.86. This likewise implies an enhanced yield of radial and D-wave charm excitations in semileptonic B decays and alleviates the problem with the inclusive yield of the wide excited states. We also apply the approach to the expectation values of dimension 7 and 8 local operators and to a few other issues in the heavy quark expansion.
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ArXiv ePrint: 1206.2296
On leave of absence from Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300, Russia. (Nikolai Uraltsev)
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Gambino, P., Mannel, T. & Uraltsev, N. B → D* zero-recoil formfactor and the heavy quark expansion in QCD: a systematic study. J. High Energ. Phys. 2012, 169 (2012). https://doi.org/10.1007/JHEP10(2012)169
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DOI: https://doi.org/10.1007/JHEP10(2012)169