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Model-Independent Extraction of |V_{cb}| Using Dispersion Relations

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arxiv hep-ph/9504235 v1 pith:TQGJIRWK submitted 1995-04-06 hep-ph

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

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We present a method for parametrizing heavy meson semileptonic form factors using dispersion relations, and from it produce a two-parameter description of the B -> B elastic form factor. We use heavy quark symmetry to relate this function to B->D* l \nu form factors, and extract |V_{cb}|=0.037^{+0.003}_{-0.002} from experimental data with a least squares fit. Our method eliminates model-dependent uncertainties inherent in choosing a parametrization for the extrapolation of the differential decay rate to threshold. The method also allows a description of B -> D l nu form factors accurate to 1% in terms of two parameters.

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Cited by 9 Pith papers

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

  1. Heavy quark symmetry behind $b \to c$ semileptonic sum rule

    hep-ph 2025-01 conditional novelty 6.0 of 10

    In the heavy quark limit, the differential decay rates of B to D, B to D*, and Lambda_b to Lambda_c with tau leptons satisfy an exact sum rule independent of new physics, with corrections quantified for realistic mass...

  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^(*)).

  3. Unitarity bounds and form-factor predictions for $B$-meson decays

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    Reviews unitarity bounds for B-meson form factors, shows standard methods apply rigorously only to B→π, develops GG parametrization for general cases, and delivers combined-analysis predictions with public supplementa...

  4. Constraints on the mass of the dark antibaryon using $B_d\rightarrow \Lambda \psi_{DS}$ channel in light cone QCD

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    The mass ranges for the dark antibaryon ψ_DS are determined by deriving the B_d → Λ ψ_DS branching fraction via light-cone QCD sum rules and comparing it to BaBar and Belle experimental bounds.

  5. Joint LHCb--Belle II Prospects to Constrain New Physics in $B\to D^{(*)}\tau\nu$

    hep-ex 2026-04 conditional novelty 5.0 of 10

    A likelihood-level combined fit of LHCb- and Belle II-like B→D(*)τν data, with shared form-factor nuisance parameters, is more sensitive and less biased than post-fit combinations of independent fits.

  6. Study of Form Factors and Observables in $B_c^- \rightarrow \bar{D}^{(*)0}\ell^-\bar{\nu}_{\ell}$ and $B_c^- \rightarrow D^{(*)-}\ell^+\ell^-$ decays

    hep-ph 2025-09 unverdicted novelty 5.0 of 10

    Computes pQCD form factors for B_c to D(*) transitions via lattice inputs and heavy quark symmetry, then predicts branching fractions and angular observables for semileptonic and rare dilepton decays.

  7. Angular Analysis of $B \to D^{*}\ell \bar{\nu}_{\ell}$ from Lattice and Experiment: $|V_{cb}|$ and New Physics Constraints

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Joint Bayesian fit of lattice form factors and Belle angular data gives |V_cb| = 0.03997(71) in the SM with no resolution of the exclusive-inclusive puzzle and excludes scalar leptoquark NP at 1.0 TeV and vector lepto...

  8. $|V_{cb}|$ 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.

  9. Approaching the Inverse Problem: Toward Lattice QCD Calculations of Inclusive Hadronic Quantities

    hep-lat 2025-01 conditional novelty 4.0 of 10

    For lattice QCD spectral reconstruction, the Wertevorrat from Nevanlinna-Pick interpolation bounds the analytic-continuation uncertainty, and in a model test this bound falls roughly exponentially with the number of d...

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