B-> D* zero-recoil formfactor and the heavy quark expansion in QCD: a systematic study

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 mQ-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.

70 pages, 13 figures

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Cited by in corpus (30)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Revisiting $B\to D\ell \nu$
• $R(D^{\ast })$, $|V_{cb}|$, and the Heavy Quark Symmetry relations between form factors
• A fresh look at the determination of |V_cb| from B-> D^* l nu
• Taming the higher power corrections in semileptonic B decays
• Inclusive semileptonic fits, heavy quark masses, and V_cb
• Perturbative corrections to $B\to D$ form factors in QCD
• Challenges in Semileptonic B Decays
• Extraction of HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
• Kinetic operator effects in B-> X_c l nu at O(alpha_s)
• Semileptonic decays and $|V_{xb}|$ determinations
• $B\to D\ell {\nu }_{\ell }$ form factors beyond leading power and extraction of $|V_{cb}|$ and $R(D)$
• Symmetries in $B\to D^{\ast }\ell \nu$ angular observables
• ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625){\ell }^{-}\bar{\nu }$ form factors from lattice QCD
• On the significance of B-decays to radially excited D
• Testing lepton flavour universality in semileptonic ${\Lambda }_b\to {\Lambda }_c^{\ast }$ decays
• Semileptonic and leptonic $B$ decays, circa 2016
• Form factor ratios for $B_s\to K\ell \nu$ and $B_s\to D_s\ell \nu$ semileptonic decays and $|V_{ub}/V_{cb}|$
• Zero-Recoil Sum Rules for ${\Lambda }_b\to {\Lambda }_c$ Form Factors
• Semileptonic Transition of ${\Lambda }_b$ Baryon
• Progress on semi-leptonic $B_{(s)}$ decays
• On the B*' --> B transition
• Semileptonic $B\to D^{\ast \ast }$ decays in Lattice QCD : a feasibility study and first results
• Status of $|V_{cb}|$ and $|V_{ub}|$ CKM matrix elements
• New determination of $|V_{\mathrm{cb}}|$ using the three-loop QCD corrections for the $B\to D^{\ast }$ semi-leptonic decays
• HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
• Inclusive semileptonic B decays and |Vcb|
• Semileptonic $B$ decays and $|V_{xb}|$ update
• Tensions in the flavour sector
• Memorial Contribution about Kolya Uraltsev's Talk at 2012 Workshop $B\to D\ast \ast$