Quenched lattice calculation of the B --> D l nu decay rate

Abstract

We calculate, in the continuum limit of quenched lattice QCD, the form factor that enters in the decay rate of the semileptonic decay B --> D l nu. Making use of the step scaling method (SSM), previously introduced to handle two scale problems in lattice QCD, and of flavour twisted boundary conditions we extract G(w) at finite momentum transfer and at the physical values of the heavy quark masses. Our results can be used in order to extract the CKM matrix element Vcb by the experimental decay rate without model dependent extrapolations.

arXiv comment5 pages, 4 figures, accepted for publication on Phys. Lett. B, corrected one typo

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• B -> D tau nu Branching Ratios: Opportunity for Lattice QCD and Hadron Colliders
• Sterile neutrinos in leptonic and semileptonic decays
• Measurement of |V_cb| and the Form-Factor Slope in Bbar -> D l- nubar Decays in Events Tagged by a Fully Reconstructed B Meson
• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
• B_s->D_s/B->D Semileptonic Form-Factor Ratios and Their Application to BR(B^0_s->μ^+μ^-)
• B-> D* zero-recoil formfactor and the heavy quark expansion in QCD: a systematic study
• On the extraction of zero momentum form factors on the lattice
• Exclusive $B_s$ decays to the charmed mesons $D_s^{+}(1968,2317)$ in the standard model
• 'Bs --> Ds l nu' near zero recoil in and beyond the Standard Model
• $\bar{B}\to D\tau {\bar{\nu }}_{\tau }$ vs. $\bar{B}\to D\mu {\bar{\nu }}_{\mu }$
• Quenched lattice calculation of the vector channel B --> D* l nu decay rate
• Uncertainties of the $B\to D$ transition form factor from the $D$-Meson Leading-Twist Distribution Amplitude
• Heavy and light meson wavefunctions
• Semileptonic and leptonic $B$ decays, circa 2016
• $V_{cb}$ from the semileptonic decay $B\to D\ell {\bar{\nu }}_{\ell }$ and the properties of the $D$ meson distribution amplitude
• Determination of the CKM matrix elements |V(xb)|
• Brief review on semileptonic B decays
• Progress on semi-leptonic $B_{(s)}$ decays
• Status of $|V_{cb}|$ and $|V_{ub}|$ CKM matrix elements
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA
• Standard Model parameters and heavy quarks on the lattice
• Angular distribution as an effective probe of new physics in semi-hadronic three-body meson decays
• Chiral corrections to the scalar form factor in B_q to D_q transitions
• Semileptonic decays of heavy-light pseudoscalar mesons
• CKM matrix element Vcb in a QCD Potential model