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Tensions and correlations in $|V_{cb}|$ determinations

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arxiv 1708.07134 v2 pith:PAERD4A4 submitted 2017-08-23 hep-ph

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

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abstract

Recently several papers extracted $|V_{cb}|$ using the Belle measurement of the exclusive $\bar B \to D^* \ell\bar\nu$ unfolded differential decay rates, available for the first time. Depending on the theoretical inputs, some of the fits yield higher $|V_{cb}|$ values, compatible with those from inclusive semileptonic $B$ decays. Since these four fits use mostly the same data, if their correlations were close to 100\%, the tension between them would be over $5\sigma$. We determine the correlations, find that the tension between the results is less than $3\sigma$, and explore what might lead to improving the consistency of the fits. We find that fits that yield the higher values of $|V_{cb}|$, also suggest large violations of heavy quark symmetry. These fits are also in tension with preliminary lattice QCD data on the form factors. Without additional experimental data or lattice QCD input, there are no set of assumptions under which the tension between exclusive and inclusive determinations of $|V_{cb}|$ can be considered resolved.

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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. Theory determination of $\bar{B}\to D^{(*)}\ell^-\bar\nu$ form factors at $\mathcal{O}(1/m_c^2)$

    hep-ph 2019-08 accept novelty 6.0 of 10

    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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