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The Subleading Isgur-Wise Form Factor $\xi_3(v\cdot v')$ and its Implications for the Decays $\bar B\to D^{(*)}\ell\,\bar\nu$
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abstract
We calculate, in the framework of QCD sum rules and to next-to-leading order in perturbation theory, the universal function $\xi_3(v\cdot v')$ which appears at order $1/m_Q$ in the heavy quark expansion of meson weak decay form factors. We find that radiative corrections of order $\alpha_s$ are very important. Over the kinematic range accessible in semileptonic decays, $\xi_3(v\cdot v')$ is proportional to the leading-order Isgur-Wise function $\xi(v\cdot v')$ to very good accuracy. Taking into account all sources of uncertainty, we estimate $\xi_3/\xi=(0.6\pm 0.2)$. This reduces the theoretical uncertainty in the extraction of $|\,V_{cb}|$ from $\bar B\to D\,\ell\, \bar\nu$ transitions. A measurement of the form factor ratio $A_2/A_1$ in $\bar B\to D^*\ell\,\bar\nu$ decays can be used to test our prediction.
Forward citations
Cited by 4 Pith papers
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Heavy mesons from the QCD instanton vacuum beyond the static limit
Computes f_B, residual mass Λ, kinetic matrix element λ1, and Isgur-Wise slope in instanton vacuum with finite-mass heavy-light vertex calibrated to B data.
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$V_{cb}$ puzzle in semi-leptonic $B\to D^*$ decays revisited
Using the latest Belle and Belle II data, CLN, BGL, and HQET fits give consistent exclusive |Vcb| values near 39.7 times 10^-3, confirming the persistent 2 to 3 sigma gap with the inclusive value.
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Theory determination of $\bar{B}\to D^{(*)}\ell^-\bar\nu$ form factors at $\mathcal{O}(1/m_c^2)$
A full heavy-quark expansion to order 1/m_c^2 for all B to D and D* form factors gives a consistent theory determination of |V_cb| = (40.3 ± 0.8) x 10^-3 and sharp predictions for R(D^(*)).
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$|V_{cb}|$ determinations from $\bar{B} \to D^{(*)} \ell \bar\nu$ decays within the SM and beyond
Fits to B to D(*) l nu form factors with BSZ, BGL and HQET yield |V_cb| matching PDG average for BGL but smaller for HQET, while data still allows non-zero new physics contributions.
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