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Exploring Light-Cone Sum Rules for Pion and Kaon Form Factors

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abstract

We analyze the higher-twist effects and the SU(3)-flavour symmetry breaking in the correlation functions used to calculate form factors of pseudoscalar mesons in the QCD light-cone sum rule approach. It is shown that the Ward identities for these correlation functions yield relations between twist-4 two- and three-particle distribution amplitudes. In addition to the relations already obtained from the QCD equations of motions, we have found a new one. With the help of these relations, the twist-4 contribution to the light-cone sum rule for the pion electromagnetic form factor is reduced to a very simple form. Simultaneously, we correct a sign error in the earlier calculation. The updated light-cone sum rule prediction for the pion form factor at intermediate momentum transfers is compared with the recent Jefferson Lab data. Furthermore, from the correlation functions with strange-quark currents the kaon electromagnetic form factor and the $K\to \pi$ weak transition form factors are predicted with $O(m_s)\sim O(m_K^2)$ accuracy.

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  • $D\to P \ell^+\ell^-$ decays assisted by QCD light-cone sum rules hep-ph · 2025-05-27 · conditional · none · ref 40 · internal anchor

    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.