Flavour symmetry breaking in the kaon parton distribution amplitude

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doi:10.1016/j.physletb.2014.07.057

Title: Flavour symmetry breaking in the kaon parton distribution amplitude

Journal Article · 31 October 2014 · Physics Letters. B

DOI: https://doi.org/10.1016/j.physletb.2014.07.057 · OSTI ID:1212883

We compute the kaon's valence-quark (twist-two parton) distribution amplitude (PDA) by projecting its Poincaré-covariant Bethe–Salpeter wave-function onto the light-front. At a scale ζ = 2 GeV, 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, F_K/F_π=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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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1212883

Alternate ID(s):: OSTI ID: 1600462; OSTI ID: 1227768; OSTI ID: 22434528

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Journal Issue: C Vol. 738; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Flavour symmetry breaking in the kaon parton distribution amplitude

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