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The Subleading Isgur-Wise Form Factor $\chi_3(v\cdot v')$ to Order $\alpha_s$ in QCD Sum Rules
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abstract
We calculate the contributions arising at order $\alpha_s$ in the QCD sum rule for the spin-symmetry violating universal function $\chi_3(v\cdot v')$, which appears at order $1/m_Q$ in the heavy quark expansion of meson form factors. In particular, we derive the two-loop perturbative contribution to the sum rule. Over the kinematic range accessible in $B\to D^{(*)}\ell\,\nu$ decays, we find that $\chi_3(v\cdot v')$ does not exceed the level of $\sim 1\%$, indicating that power corrections induced by the chromo-magnetic operator in the heavy quark expansion are small.
Forward citations
Cited by 2 Pith papers
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$V_{cb}$ puzzle in semi-leptonic $B\to D^*$ decays revisited
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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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