Analyticity Properties and Unitarity Constraints of Heavy Meson Form Factors

Abstract

We derive new bounds on the b-number form factor $F(q^2)$ of the B meson. (Revised version of hep-ph/9306214).

22 pages

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Cited by in corpus (33)

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• Lattice-Constrained Unitarity Bounds for ${\bar{B}}^0\to {\pi }^{+}{l}^{-}{\bar{\nu }}_l$ Decays
• Tau properties in $B\to D\tau \nu$ from visible final-state kinematics
• Improved Bounds for the Slope and Curvature of $\bar{B}\to D^{(\ast )}\ell \bar{\nu }$ Form Factors
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• Lepton-flavour non-universality of $\bar{B}\to D^{\ast }\ell \bar{\nu }$ angular distributions in and beyond the Standard Model
• ${\rm Y}$ absorption in hadronic matter
• New physics in the kinematic distributions of $\bar{B}\to D^{(\ast )}{\tau }^{-}(\to {\ell }^{-}{\bar{\nu }}_{\ell }{\nu }_{\tau }){\bar{\nu }}_{\tau }$
• Covariant quark model of form factors in the heavy mass limit
• Combined nonrelativistic constituent quark model and heavy quark effective theory study of semileptonic decays of Λ_b and Ξ_b baryons
• Finding the sigma pole by analytic extrapolation of $\pi \pi$ scattering data
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• Lattice Study of Semi-Leptonic $B$ Decays: I. $\bar{B}\to D\ell \bar{\nu }$ Decays
• Model independent investigation of the $R_{J/\psi ,{\eta }_c}$ and ratios of decay widths of semileptonic $B_c$ decays into a P-wave charmonium
• Constraints on the $\omega \pi$ form factor from analyticity and unitarity
• Theory of unitarity bounds and low energy form factors
• Implications of unitarity and analyticity for the Dπform factors
• A model independent determination of $|V_{ub}|$ using the global $q^2$ dependence of the dispersive bounds on the $B\to \pi l\nu$ form factors
• Isgur--Wise function in a relativistic model of constituent quarks
• Dispersive Bounds on The Shape Of Lambda_b to Lambda_c l {\bar ν_l} Formfactors
• Unitarity Constraints on the B and B^* Form Factors from QCD Analyticity and Heavy Meson Spin Symmetry
• Continuity and Semileptonic $B_{(s)}\to D_{(s)}$ Form Factors
• Hadronic absorption cross sections of $B_c$
• $B\to \rho \ell {\nu }_{\ell }$ Form Factors
• Constraining Form Factors with the Method of Unitarity Bounds
• Model-Independent Semileptonic Form Factors Using Dispersion Relations
• On the bounds for the curvature and higher derivatives of the Isgur-Wise function
• Anomalous Thresholds and the Isgur-Wise Function