4.7 Article

ΔS=0 effective weak chiral Lagrangian from the instanton vacuum

Journal

EUROPEAN PHYSICAL JOURNAL C
Volume 45, Issue 2, Pages 451-457

Publisher

SPRINGER
DOI: 10.1140/epjc/s2005-02442-3

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We investigate the Delta S = 0 effective chiral Lagrangian from the instanton vacuum. Based on the Delta S = 0 effective weak Hamiltonian from the operator product expansion and renormalization group equations, we derive the strangeness-conserving effective weak chiral Lagrangian from the instanton vacuum to order O(p(2)) and the next-to-leading order in the 1/N-c expansion at the quark level. We find that the quark condensate and a dynamical term which arise from the QCD and electroweak penguin operators appear in the next-to-leading order in the 1/N-c expansion for the AS = 0 effective weak chiral Lagrangian, while they are in the leading order terms in the AS = 1 case. Three different types of form factors are employed and we find that the dependence on the different choices of the form factor is rather insensitive. The low-energy constants of the Gasser-Leutwyler type are determined and discussed in the chiral limit.

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