1/m_Q corrections in heavy meson decays

Abstract

We study the form factor f_+^H (H=D,B) involved in H-\pi transitions. We use data on D^0 \to \pi^- l^+ \nu to find f_+^D at low recoil. Then we use perturbative QCD methods to calculate at larger recoil the contributions to f_+^H that break heavy quark symmetry (HQS). Using HQS relations we obtain an estimate of f_+^B which includes first order corrections in 1/(2m_Q). Comparison with recent data on B^0 \to \pi^- l^+ \nu gives V_ub = 0.0025 \pm 0.0005^ex \pm 0.0004^th.