Weak $K$--Amplitudes in the Chiral and $1/N_c$--Expansions

Abstract

It is shown that there exist symmetry constraints for non--leptonic weak amplitudes which emerge when the $1/N_c$--expansion restricted to the leading and next--to--leading approximations only is systematically combined with $\chi$PT limited to the lowest non--trivial order. We discuss these constraints for the couplings $\mbox{\bf g}_8$ and $\mbox{\bf g}_{27}$ of $\Delta S=1$ transitions and the $\mbox{\bf B}_{K}$--parameter of $K^0-{\bar{K}}^0$ mixing.

11 pages, latex, 1 figure (included in a separate ps file)

References in corpus (6)

• Chiral perturbation theory
• Chiral Perturbation Theory
• Light Quark Masses from QCD
• The $B_K$ Parameter in the $1/N_c$ Expansion
• $\bar B\to\bar K\e^+\e^-$ in Chiral Perturbation Theory
• QCD corrections to inclusive $\Delta S=1,2$ transitions at the next-to-leading order

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• Final State Interactions in Kaon Decays
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• Four-point functions and kaon decays in a minimal AdS/QCD model
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
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• Analytic Approaches to Kaon Physics
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• Large N Approach to Kaon Decays and Mixing 28 Years Later: Delta I = 1/2 Rule, \hat B_K and Delta M_K
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• $\Delta S=1,2$ Effective Weak Chiral Lagrangian from the Instanton Vacuum
• B_K in the chiral limit within the 1/Nc expansion
• Updated Standard Model Prediction for ${\epsilon }^{\prime }/\epsilon$
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
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• Short- and long-distance contributions to the rare decay K_L-->mu+ mu-
• Theoretical overview of kaon decays
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• Kaon weak interactions in powers of 1/Nc
• Non-leptonic kaon decays at large $N_c$
• Unfactorizing Polychromatic Penguins
• Chiral loop corrections and isospin violation effects in epsilon'/epsilon