Perturbative QCD Correction to the Light-Cone Sum Rule for the $B^*Bπ$ and $D^*Dπ$ Couplings

Abstract

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 $O(α_s)$ correction to the twist 2 term of this sum rule. The result is used for a first next-to-leading order analysis. We obtain $g_{B^*Bπ}= 22\pm 7$ and $g_{D^*Dπ}=10.5\pm 3$, where the error indicates the remaining theoretical uncertainty.