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arXiv 2014-06-12 DOI 10.1016/j.physletb.2014.07.057 0 views

Flavour symmetry breaking in the kaon parton distribution amplitude

Shi, Chao · Chang, Lei · Roberts, Craig D. · Schmidt, Sebastian M. · Tandy, Peter C. · Zong, Hong-Shi

Original · EN

We compute the kaon's valence-quark (twist-two parton) distribution amplitude (PDA) by projecting its Poincare'-covariant Bethe-Salpeter wave-function onto the light-front. At a scale ζ=2GeV, the PDA is a broad, concave and asymmetric function, whose peak is shifted 12-16% away from its position in QCD's conformal limit. These features are a clear expression of SU(3)-flavour-symmetry breaking. They show that the heavier quark in the kaon carries more of the bound-state's momentum than the lighter quark and also that emergent phenomena in QCD modulate the magnitude of flavour-symmetry breaking: it is markedly smaller than one might expect based on the difference between light-quark current masses. Our results add to a body of evidence which indicates that at any energy scale accessible with existing or foreseeable facilities, a reliable guide to the interpretation of experiment requires the use of such nonperturbatively broadened PDAs in leading-order, leading-twist formulae for hard exclusive processes instead of the asymptotic PDA associated with QCD's conformal limit. We illustrate this via the ratio of kaon and pion electromagnetic form factors: using our nonperturbative PDAs in the appropriate formulae, Fₖ/Fπ=1.23 at spacelike-Q²=17 GeV², which compares satisfactorily with the value of 0.92(5) inferred in e+ e- annihilation at s=17 GeV².

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