Quenched lattice calculation of the B→Dℓν decay rate

2007/07/31 by G. M. de Divitiis, Giulia Maria de Divitiis, E. Molinaro +4
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1016/j.physletb.2007.08.085

published as Phys.Lett.B655:45-49,2007 · 5 pages, 4 figures, accepted for publication on Phys. Lett. B, corrected one typo

openalex publication_date 2007/09/15 · arxiv created 2007/10/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Lattice QCD calculation ofB¯→Dlν¯decay form factors at zero recoil
• Non-perturbative O(a) improvement of the vector current
• A numerical study of partially twisted boundary conditions
• Study of the leptonic decays of pseudoscalarB,Dand vectorB*,D*mesons and of the semileptonicB→DandB→D*decays
• Measurement of (→Dℓ) and determination of |V|
• The Schrödinger functional — a renormalizable probe for non-abelian gauge theories
• CP-Violation in the Renormalizable Theory of Weak Interaction