Semileptonic $B \to ρ$ and $B \to π$ Decays: Lattice and Dispersive Constraints

Abstract

I present two recent pieces of work on semileptonic $B \to π, ρ$ decays where it is shown how lattice QCD calculations can be used to test heavy-quark symmetry and determine phenomenologically relevant quantities despite the limits on these calculations' kinematical reach. The study of semileptonic $B \to ρ$ decays was performed with the UKQCD Collaboration.

LaTeX, 7 pages, 4 PostScript figures. Calls twoside.sty, fleqn.sty, espcrc2.sty and epsf.sty. Talk given at the High Energy Conference on Quantum Chromodynamics (QCD 96), Montpellier, France, 4-12$^{th}$ July 1996. To appear in the proceedings