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

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arxiv 0712.2999 v1 pith:UCNOFFCL submitted 2007-12-18 hep-ph

K.G. Chetyrkin , A. Khodjamirian , A.A. Pivovarov This is my paper · ORCID
classification hep-ph
keywords ruleaccuracyalphaamplitudecorrectionsdistributionkaonradiative
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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 $a_1^K(1 \GeV)=0.10\pm 0.04$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $D\to P \ell^+\ell^-$ decays assisted by QCD light-cone sum rules

    hep-ph 2025-05 conditional novelty 7.0 of 10

    A new LCSR-assisted dispersion method predicts the D+ to pi+ l+ l- branching fraction and shows that the short-distance c to u l+ l- transition is practically invisible in the Standard Model.

  2. The rare decay $B^+ \to K^+\ell^+\ell^-(\nu\bar{\nu})$ under the QCD sum rules approach

    hep-ph 2024-11 conditional novelty 4.0 of 10

    A QCD light-cone sum-rule calculation with the authors' kaon distribution amplitudes predicts B(B+ to K+ nu nubar) = 4.14 x 10^-6 and B(B+ to K+ l+l-) around 6.6 x 10^-7, consistent with other SM estimates.

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