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

Abstract

We propose a method to determine the CKM matrix element $|V_{ub}|$ using the global $q^2$ dependence of the dispersive bound on the form factors for $B\to \pi l\nu$ decay. Since the lattice calculation of the $B\to \pi l\nu$ form factor is limited to the large $q^2$ regime, only the experimental data in a limited kinematic range can be used in a conventional method. In our new method which exploits the statistical distributions of the dispersive bound proposed by Lellouch, we can utilize the information of the global $q^2$ dependence for all kinematic range. As a feasibility study we determine $|V_{ub}|$ by combining the form factors from quenched lattice QCD, the dispersive bounds, and the experimental data by CLEO. We show that the accuracy of $|V_{ub}|$ can be improved by our method.

arXiv comment12 pages, 13 figures

References in corpus (21)

• Excited Heavy-Light Systems and Hadronic Transitions
• Constraints on Form Factors For Exclusive Semileptonic Heavy to Light Meson Decays
• Lattice-Constrained Unitarity Bounds for ${\bar{B}}^0\to {\pi }^{+}{l}^{-}{\bar{\nu }}_l$ Decays
• Heavy --> Light semileptonic decays of pseudoscalar mesons from lattice QCD
• The Semileptonic Decays $B\to \pi l\nu$ and $D\to \pi l\nu$ from Lattice QCD
• Precision determination of |V_{ub}| from inclusive decays
• Improved B -> pi l nu_l form factors from the lattice
• B-Bbar mixing in unquenched lattice QCD
• Perturbative QCD Correction to the Light-Cone Sum Rule for the $B^{\ast }B\pi$ and $D^{\ast }D\pi$ Couplings
• The Decay $B\to \pi \ell \nu$ in Heavy Quark Effective Theory
• Study of the q^2-Dependence of B --> pi ell nu and B --> rho(omega)ell nu Decay and Extraction of |V_ub|
• Consistent treatment of spin-1 mesons in the light-front formalism
• Heavy Quarks and Lattice QCD
• Radiative Transitions in Heavy Mesons in a Relativistic Quark Model
• Analyticity Properties and Unitarity Constraints of Heavy Meson Form Factors
• Differential decay rate of $B\to \pi l\nu$ semileptonic decay with lattice NRQCD
• Lattice measurement of the couplings g_infinity and g_Bstar_B_pi
• Measurement of |V_ub| using inclusive B -> X_u l nu decays with a novel X_u-reconstruction method
• Pionic coupling constants of heavy mesons in the quark model
• The Phenomenology of Inclusive Heavy-to-Light Sum Rules
• Improved Unitarity Bounds for B -> Pi Decays

Cited by in corpus (10)

• Comment on form factor shape and extraction of |V_ub| from B --> pi l nu
• A Precision Model Independent Determination of |Vub| from B -> pi e nu
• |V_ub| and Constraints on the Leading-Twist Pion Distribution Amplitude from B->pi l nu
• CP violation and the CKM matrix
• Full determination of the CKM matrix using recent results from lattice QCD
• Analysis of D+ to K- pi+ e+ nu_e and D+ to K- pi+ mu+ nu_mu Semileptonic Decays
• Extracting |V(ub)| from B->pi l nu Decays Using a Multiply-subtracted Omnes Dispersion Relation
• |Vub| from Exclusive Semileptonic B--> rho Decays
• |Vub| from Exclusive Semileptonic B to pi Decays
• Heavy flavor physics from lattice QCD