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QCD Sum Rule Analysis of the Subleading Isgur-Wise Form Factor $\chi_2(v\cdot v')$

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arxiv hep-ph/9209271 v1 pith:ISQ6J5MI submitted 1992-09-23 hep-ph

classification hep-ph
keywords cdotformfunctionorderrulealphaanalysisappears
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a QCD sum rule calculation of the spin-symmetry violating universal function $\chi_2(v\cdot v')$, which appears at order $1/m_Q$ in the heavy quark expansion of meson form factors. This function vanishes in the standard approximation, where radiative effects are neglected. For the first time, the complete set of diagrams arising at order $\alpha_s$ is evaluated. In particular, we find $\chi_2(1) = -(3.8\pm 0.4)\%$ at zero recoil, indicating that $1/m_Q$ corrections induced by the chromo-magnetic moment operator are small.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $V_{cb}$ puzzle in semi-leptonic $B\to D^*$ decays revisited

    hep-ph 2024-12 conditional novelty 6.0 of 10

    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.

  2. $|V_{cb}|$ determinations from $\bar{B} \to D^{(*)} \ell \bar\nu$ decays within the SM and beyond

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    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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