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

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

2007-12-18

arxiv.org/abs/0712.2999v1

Phys.Lett.B661:250-258,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 2 figures

Scientific paper

10.1016/j.physletb.2008.02.031

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 $a_1^K(1 \GeV)=0.10\pm 0.04$.

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