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

Abstract

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 νform 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.

12 pages, 2 eps figures, uuencoded. Uses epsf.

References in corpus (5)

• Mesons with Beauty and Charm: Spectroscopy
• Measurement of the B -> D^* l nu Branching Fractions and |Vcb|
• Higher Order $1/m$ Corrections at Zero Recoil
• Theoretical Update on the Model-Independent Determination of |V_{cb}| Using Heavy Quark Symmetry
• Predicting the Masses of Heavy Hadrons without an Explicit Hamiltonian

Cited by in corpus (88)

• Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• Precision Corrections to Dispersive Bounds on Form Factors
• Aspects Of Heavy Quark Theory
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Long-distance effects in $B\to K^{\ast }\ell \ell$ from Analyticity
• Improved Theory Predictions and Global Analysis of Exclusive $\mathbf{b}\to \mathbf{s}{\mathbf{\mu }}^{+}{\mathbf{\mu }}^{-}$ Processes
• Precise Calculation of the Dilepton Invariant-Mass Spectrum and the Decay Rate in $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ in the SM
• Model-Independent Extraction of $|V_{cb}|$ from $\bar{B}\to D^{\ast }\ell \overline{\nu }$
• Theory determination of $\bar{B}\to D^{(\ast )}{\ell }^{-}\bar{\nu }$ form factors at $\mathcal{O}(1/m_c^2)$
• Analyticity, Shapes of Semileptonic Form Factors, and B to pi l nu
• Precision calculations of $B\to V$ form factors in QCD
• Heavy-Quark Expansion for ${\bar{B}}_s\to D_s^{(\ast )}$ Form Factors and Unitarity Bounds beyond the $SU(3{)}_F$ Limit
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• Revisiting the new-physics interpretation of the $b\to c\tau \nu$ data
• Perturbative corrections to $B\to D$ form factors in QCD
• Nucleon form factors on a large volume lattice near the physical point in 2+1 flavor QCD
• Challenges in Semileptonic B Decays
• Hadronic and New Physics Contributions to $b\to s$ Transitions
• Improved Bounds for the Slope and Curvature of $\bar{B}\to D^{(\ast )}\ell \bar{\nu }$ Form Factors
• Lepton-flavour non-universality of $\bar{B}\to D^{\ast }\ell \bar{\nu }$ angular distributions in and beyond the Standard Model
• $|V_{cb}|$ and $R(D^{(\ast )})$ using lattice QCD and unitarity
• Tensions and correlations in $|V_{cb}|$ determinations
• Unitarity Bounds for Semileptonic Decays in Lattice QCD
• Moments of the B Meson Inclusive Semileptonic Decay Rate using Neutrino Reconstruction
• Factorization in Color-Favored B Meson Decays to Charm
• Measurement of the $D^0\to {\pi }^{-}{e}^{+}{\nu }_e$ differential decay branching fraction as a function of $q^2$ and study of form factor parameterizations
• Constraints for the semileptonic $B\to D^{(\ast )}$ form factors from lattice QCD simulations of two-point correlation functions
• Probing new physics in semileptonic ${\Lambda }_b$ decays
• Lower bounds on the curvature of the Isgur-Wise function
• Determination of |Vcb| using the semileptonic decay \bar{B}^0 --> D^{*+}e^-\barν
• Model-Independent Bounds on $R(J/\psi )$
• Tensor form factor of $D\to \pi (K)\ell \nu$ and $D\to \pi (K)\ell \ell$ decays with $N_f=2+1+1$ twisted-mass fermions
• 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
• Heavy quark symmetry in B -> D(*) ell nu spectra
• Perturbative QCD study of $B\to D^{(\ast )}$ decays
• Constraints on the $\omega \pi$ form factor from analyticity and unitarity
• Precision Model-Independent Bounds from Global Analysis of $b\to c\ell \nu$ Form Factors
• Symmetries in $B\to D^{\ast }\ell \nu$ angular observables
• N = 5, 6, 7, 8: Nested hypothesis tests and truncation dependence of $|V_{cb}|$
• $|V_{cb}|$, Lepton Flavour Universality and $SU(3{)}_F$ symmetry breaking in $B_s\to D_s^{(\ast )}\ell {\nu }_{\ell }$ decays through unitarity and lattice QCD
• Theory of unitarity bounds and low energy form factors
• Discriminating $B\to D^{\ast }\ell \nu$ form factors via polarization observables and asymmetries
• B Meson Decays
• Measurement of the $\bar{B}\to D\ell \bar{\nu }$ Partila Width and Form Factor Parameters
• Corrections to the Bjorken and Voloshin sum rules
• Model-Independent Prediction of $R({\eta }_c)$
• New Constraints on Dispersive Form Factor Parameterizations from the Timelike Region
• Continuum limit of hyperon vector coupling $f_1(0)$ from 2+1 flavor domain wall QCD
• Determination of short- and long-distance contributions in $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decays
• Measurement of the shape of the $B_s^0\to D_s^{\ast -}{\mu }^{+}{\nu }_{\mu }$ differential decay rate
• Semileptonic form factors - a model-independent approach
• Dispersive Bounds on The Shape Of Lambda_b to Lambda_c l {\bar ν_l} Formfactors
• On sum rules for semi-leptonic $b\to c$ and $b\to u$ decays
• Perturbative corrections to curvature sum rules
• Study of $B\to \pi \ell {\nu }_{\ell }$ and $B^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays and determination of $|V_{ub}|$
• Unitarity Constraints on the B and B^* Form Factors from QCD Analyticity and Heavy Meson Spin Symmetry
• Hints and challenges in heavy flavor physics
• Bounding Heavy Meson Form Factors Using Inclusive Sum Rules
• Continuity and Semileptonic $B_{(s)}\to D_{(s)}$ Form Factors
• Transition form factors and angular distributions of the ${\mathbf{\Lambda }}_{\mathbf{b}}\to \mathbf{\Lambda }(1520)(\to \mathbf{N}\bar{\mathbf{K}}){\mathbf{\ell }}^{+}{\mathbf{\ell }}^{-}$ decay supported by baryon spectroscopy
• Towards establishing Lepton Flavour Universality violation in $\bar{B}\to {\bar{K}}^{\ast }{\ell }^{+}{\ell }^{-}$ decays
• Above-Threshold Poles in Model-Independent Form Factor Parametrizations
• Nucleon structure from 2+1 flavor lattice QCD near the physical point
• CP Violation and Flavour Mixing in the Standard Model
• Density distributions in the $B$ meson
• A model-independent parameterization of $B\to \pi \pi \ell \nu$ decays
• Consistency constraints on m_s from QCD dispersion relations and chiral perturbation theory in K_{l3} decays
• $B\to \rho \ell {\nu }_{\ell }$ Form Factors
• Experimental Status of the CKM Matrix
• Model independent investigation of rare semileptonic b \to u l \barν_l decay processes
• Constraining Form Factors with the Method of Unitarity Bounds
• Method for high-precision determination of the nucleon axial structure using lattice QCD: Removing $\pi N$-state contamination
• Model-Independent Semileptonic Form Factors Using Dispersion Relations
• On the bounds for the curvature and higher derivatives of the Isgur-Wise function
• $\frac{|V_{ub}|}{|V_{cb}|}$ and Quest for New Physics
• The quest for the Cabibbo Kobayashi Maskawa Matrix
• Predictive SUSY SO(10) X Delta (48) X U(1) Model for CP Violation, Neutrino Oscillation, Fermion Masses and Mixings with Small tan(beta)
• Tensor form factor for the $D\to \pi (K)$ transitions with Twisted Mass fermions
• On magnitudes of some CKM matrix elements
• Joint LHCb--Belle II Prospects to Constrain New Physics in $B\to D^{(\ast )}\tau \nu$
• Hypercubic effects in semileptonic decays of heavy mesons, toward $B\to \pi \ell \nu$, with $N_f=2+1+1$ Twisted fermions
• Global Determination of $|V_{us}|$
• Heavy Meson Physics: What have we learned in Twenty Years?
• Study of Form Factors and Observables in $B_c^{-}\to {\bar{D}}^{(\ast )0}{\ell }^{-}{\bar{\nu }}_{\ell }$ and $B_c^{-}\to D^{(\ast )-}{\ell }^{+}{\ell }^{-}$ decays
• $B\to X_c\ell \bar{\nu }$ Decay as a Probe of Complex Conjugate Poles
• $D\to \pi$ and $D\to K$ semileptonic form factors with $N_f=2+1+1$ twisted mass fermions