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Improved Bounds for the Slope and Curvature of $\bar B\to D^{(*)}\ell\bar\nu$ Form Factors

3 Pith papers cite this work, alongside 65 external citations. Polarity classification is still indexing.

3 Pith papers citing it
65 external citations · Pith
abstract

We derive a theoretically allowed domain for the slope $\widehat\varrho^2$ and curvature $\widehat c$ of the physical form factor appearing in the decay $\bar B\to D^*\ell\bar\nu$. Using heavy-quark symmetry, we relate this function to a particular $\bar B \to D$ form factor free of ground-state $B_c$ poles below the threshold for $B D$ production, for which almost model-independent constraints are derived from QCD using unitarity and analyticity. Our results are of interest for the extraction of $|V_{cb}|$ from the recoil spectrum in exclusive semileptonic $B$ decays. Making conservative estimates of the theoretical uncertainties, we find (up to $1/m_Q$ corrections) $\widehat\varrho^2<1.11$ and $\widehat c\simeq 0.66\widehat\varrho^2-0.11$. We also derive the corresponding bounds for the form factor in the decay $\bar B\to D\ell\bar\nu$.

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fields

hep-ph 3

years

2026 3

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UNVERDICTED 3

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background 1

representative citing papers

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

hep-ph · 2026-05-25 · unverdicted · novelty 5.0

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 supplementary material.

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