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

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

High Energy Physics - Phenomenology 2008-11-26 v1

Authors: K. G. Chetyrkin , A. Khodjamirian , A. A. Pivovarov

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Abstract

We calculate the $O(\alpha_s)$ and $O(\alpha_s^2)$ 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 $a_1^K(1 \GeV)=0.10\pm 0.04$ .

Keywords

QCD sum rule kaon distribution amplitude NNLO accuracy Gegenbauer moment radiative corrections operator-product expansion factorization

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@article{arxiv.0712.2999,
  title  = {Towards NNLO Accuracy in the QCD Sum Rule for the Kaon Distribution Amplitude},
  author = {K. G. Chetyrkin and A. Khodjamirian and A. A. Pivovarov},
  journal= {arXiv preprint arXiv:0712.2999},
  year   = {2008}
}

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14 pages, 2 figures

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

Abstract

Keywords

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