Towards NNLO Accuracy in the QCD Sum Rule for the Kaon Distribution Amplitude

K. G. Chetyrkin; A. Khodjamirian; A. A. Pivovarov

doi:10.1016/j.physletb.2008.02.031

paper

Towards NNLO Accuracy in the QCD Sum Rule for the Kaon Distribution Amplitude

arXiv:0712.2999 · doi:10.1016/j.physletb.2008.02.031

Abstract

We calculate the $O (α_{s})$ and $O (α_{s}^{2})$ gluon radiative corrections to the QCD sum rule for the first Gegenbauer moment $a_{1}^{K}$ of the kaon light-cone distribution amplitude. The NNL0 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 $a_1^K(1 \GeV)=0.10\pm 0.04$.

14 pages, 2 figures

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