Semi-leptonic decays of heavy mesons and the Isgur-Wise function in quenched lattice QCD

Abstract

The form factors for the semi-leptonic B->D and B->D* decays are evaluated in quenched lattice QCD at two different values of the coupling, beta=6.0 and 6.2. The action and the operators are fully O(a) non-perturbatively improved. The slope of the Isgur-Wise function is evaluated, and found to be rho^2=0.83^{+15+24}_{-11-1} (quoted errors are statistical and systematic respectively). Ratios of form factors are evaluated and compared to experimental determinations.

21 pages, 10 figures

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• Lower bounds on the curvature of the Isgur-Wise function
• Study of the leptonic decays of pseudoscalar $B,D$ and vector $B^{\ast },D^{\ast }$ mesons and of the semileptonic $B\to D$ and $B\to D^{\ast }$ decays
• Quenched lattice calculation of semileptonic heavy-light meson form factors
• Isgur-Wise function in a QCD potential model with coulombic potential as perturbation
• Isgur-Wise function within a QCD quark model with Airy's function as the wave function of heavy-light mesons
• An analysis of the Isgur-Wise Function and its derivatives within a Heavy-Light QCD Quark Model
• Isgur-Wise function in a QCD inspired potential model with confinement as parent in the Variationally Improved Perturbation Theory (VIPT)
• Isgur-Wise Function for Heavy Light Mesons in D dimensional Potential Model
• A Higher Dimensional Potential Model Approach in the Study of Isgur-Wise Function for Heavy-Light Mesons
• The Isgur-Wise Function within a Modified Heavy-Light Chiral Quark Model
• Static and dynamic properties of hadronic systems with heavy quarks b and c
• An Analysis of Isgur-Wise Function of Heavy-Light Mesons within a Higher Dimensional Potential Model Approach