Predictions for B->D-1(2420)l(nu)over-bar and B->D-2*(2460)l(nu)over-bar at order Lambda(QCD)/m(c,b)

Exclusive semileptonic B decays into D-1 and D-2* mesons are investigated including order Lambda(QCD)/m(c,b) corrections using the heavy quark effective theory. At zero recoil, the Lambda(QCD)/m(c,b) corrections can be written in terms of the leading Isgur-Wise function for these transitions, tau, and known meson mass splittings. We obtain an almost model independent prediction for the shape of the spectrum near zero recoil, including order Lambda(QCD)/m(c,b) corrections. We determine tau(1) from the measured B --> <D(1)l(v)over bar> branching ratio. Implications for B decay sum rules are discussed.