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Perturbative QCD Correction to the Light-Cone Sum Rule for the $B^*B\pi $ and $D^*D\pi$ Couplings
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abstract
The $B^*B\pi$ and $D^*D\pi$ couplings have previously been derived from a QCD light-cone sum rule in leading order. Here, we describe the calculation of the $O(\alpha_s)$ correction to the twist 2 term of this sum rule. The result is used for a first next-to-leading order analysis. We obtain $g_{B^*B\pi}= 22\pm 7$ and $g_{D^*D\pi}=10.5\pm 3$, where the error indicates the remaining theoretical uncertainty.
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The $D^*D^*\pi$ and $B^*B^*\pi$ couplings from light-cone sum rules
A revised light-cone sum rule calculation yields g_{D*D*pi}=5.71 GeV^-1 and g_{B*B*pi}=4.90 GeV^-1, with a static coupling ĝ=0.30±0.04.
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