Heavy hadron weak decay form factors to next-to-leading order in [formula omitted

Abstract

Based on the short-distance expansion of currents in the heavy quark effective theory, we derive the exact expressions for the heavy-to-heavy meson and baryon weak decay form factors to order 1/ m Q in the heavy quark expansion, and to all orders in perturbation theory. We emphasize that the Wilson coefficients in this expansion depend on a kinematic variable w that is different from the velocity transfer w = v· v′ of the hadrons. Our results generalize existing ones obtained in the leading-logarithmic approximation. Some phenomenological applications are briefly discussed.