Perturbative QCD correction to the light-cone sum rule for the B∗Bπ and D∗Dπ couplings

The B∗Bπ and D∗Dπ couplings have previously been derived from a QCD light-cone sum rule in leading order. Here, we describe the calculation of the O(αs) correction to the twist 2 term of this sum rule. The result is used for a first next-to-leading order analysis. We obtain gB∗Bπ=22±7 and gD∗Dπ=10.5±3, where the error indicates the remaining theoretical uncertainty.