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Title: Flavour Symmetry Breaking in the Kaon Parton Distribution Amplitude

Abstract

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- Q 2 = 17 GeV 2 , which compares satisfactorily with the value of 0.92 ( 5 ) inferred in e + e - annihilation at s = 17 GeV 2 .

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
National Key Basic Research Program of China; USDOE Office of Science - Office of Nuclear Physics; National Natural Science Foundation of China (NSFC); Research Fund for the Doctoral Program of Higher Education; University of Adelaide; Australian Research Council; Forschungszentrum Juelich GmbH; National Science Foundation (NSF)
OSTI Identifier:
1600462
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Volume: 738
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
Dynamical chiral symmetry breaking; Dyson-Schwinger equations; Factorisation in heavy-meson decays; Flavour symmetry breaking; Light pseudoscalar mesons; Parton distribution amplitudes; Strange quarks

Citation Formats

Shi, Chao, Chang, Lei, Roberts, Craig D., Schmidt, Sebastian M., Tandy, Peter C., and Zong, Hong-shi. Flavour Symmetry Breaking in the Kaon Parton Distribution Amplitude. United States: N. p., 2014. Web. doi:10.1016/j.physletb.2014.07.057.
Shi, Chao, Chang, Lei, Roberts, Craig D., Schmidt, Sebastian M., Tandy, Peter C., & Zong, Hong-shi. Flavour Symmetry Breaking in the Kaon Parton Distribution Amplitude. United States. https://doi.org/10.1016/j.physletb.2014.07.057
Shi, Chao, Chang, Lei, Roberts, Craig D., Schmidt, Sebastian M., Tandy, Peter C., and Zong, Hong-shi. 2014. "Flavour Symmetry Breaking in the Kaon Parton Distribution Amplitude". United States. https://doi.org/10.1016/j.physletb.2014.07.057.
@article{osti_1600462,
title = {Flavour Symmetry Breaking in the Kaon Parton Distribution Amplitude},
author = {Shi, Chao and Chang, Lei and Roberts, Craig D. and Schmidt, Sebastian M. and Tandy, Peter C. and Zong, Hong-shi},
abstractNote = {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=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=17GeV2, which compares satisfactorily with the value of 0.92(5) inferred in e+e- annihilation at s=17GeV2.},
doi = {10.1016/j.physletb.2014.07.057},
url = {https://www.osti.gov/biblio/1600462}, journal = {Physics Letters B},
number = ,
volume = 738,
place = {United States},
year = {2014},
month = {11}
}

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