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Strangeness-changing scalar form factors

AuthorsJamin, Matthias; Oller, José Antonio; Pich, Antonio
KeywordsScalar form factors
Chiral Lagrangians
Meson–meson interactions
Coupled channels
Final state interactions
Issue Date4-Feb-2002
CitationNuclear Physics B 622(1-2): 279-308 (2002)
AbstractWe derive expressions for strangeness-changing scalar form factors, which incorporate known theoretical constraints both at low and high energies. Their leading behaviour in the limit of a large number of colours is calculated from the resonance chiral Lagrangian, and a set of short-distance constraints on the scalar resonance couplings is obtained, imposing the form factors to vanish at infinite momentum transfer. The important effects of meson rescattering are taken into account by exploiting unitarity and analyticity. Making use of previous results on S-wave Kπ scattering [1] , and a coupled-channel dispersion-relation analysis, the Kπ, Kη and Kη′ scalar form factors are calculated up to 2 GeV. These scalar form factors are a key ingredient in the determination of the corresponding scalar spectral function which is important in the extraction of the mass of the strange quark from QCD sum rules as well as hadronic τ decays.
Description30 páginas, 2 tablas, 10 figuras.-- arXiv:hep-ph/0110193v1
Publisher version (URL)http://dx.doi.org/10.1016/S0550-3213(01)00605-8
Appears in Collections:(IFCA) Artículos
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