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

Abstract

We calculate, in the continuum limit of quenched lattice QCD, the form factor that enters the decay rate of the semileptonic decay B --> D* l nu. By using the step scaling method (SSM), previously introduced to handle two scale problems in lattice QCD, and by adopting flavor twisted boundary conditions we extract F(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. The value of Vcb agrees with the one obtained from the B --> D l nu channel and makes us confident that the quenched approximation well applies to these transitions.

11 pages, 8 figures

References in corpus (3)

• Quenched lattice calculation of the B --> D l nu decay rate
• Heavy Quark Effective Theory computation of the mass of the bottom quark
• Quenched lattice calculation of semileptonic heavy-light meson form factors

Cited by in corpus (6)

• The B -> D* l nu form factor at zero recoil from three-flavor lattice QCD: A model independent determination of |V_cb|
• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• Study of semileptonic ${\bar{B}}^{\ast }\to P\ell {\bar{\nu }}_{\ell }$ decays
• Semileptonic and leptonic $B$ decays, circa 2016
• Non-perturbative quark mass dependence in the heavy-light sector of two-flavour QCD