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We calculate the O(αs) and O(αs2) gluon radiative corrections to the QCD sum rule for the first Gegenbauer moment a1K of the kaon light-cone distribution amplitude. The NNLO accuracy is achieved for the perturbative term and quark-condensate contributions to the sum rule. A complete factorization is implemented, removing logarithms of s-quark mass from the coefficients in the operator-product expansion. The sum rule with radiative corrections yields a1K(1GeV)=0.10±0.04.
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Chetyrkin et al. (2008) studied this question.
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