Effective Weak Chiral Lagrangian to $\mathcal{O}(p^4)$ in the Chiral Quark Model

Abstract

We investigate the $\Delta S=1,2$ effective weak chiral Lagrangian within the framework of the chiral quark model. Starting from the effective four-quark operators, we derive the effective weak chiral action by integrating out the constituent quark fields. Employing the derivative expansion, we obtain the effective weak chiral Lagrangian to order $\mathcal{O}(p^4)$. We examine the contributions of the order $\mathcal{O}(N_c)$ to the ratio $g_{\underline{8}}/g_{\underline{27}}$, considering e.g. the quark axial-vector constant $g_{\mathrm{A}}$ different from unity. The low energy constants of the counterterms are also presented and discussed.

25 pages. RevTex is used. 3 postscript figures. Final version for publication in Nucl. Phys. B

References in corpus (2)

• The Delta I = 1/2 Rule and B_K at O(p^4) in the Chiral Expansion
• Tensor susceptibilities of the vacuum from constituent quarks

Cited by in corpus (9)

• Electromagnetic penguin operators and direct CP violation in K --> pi l^+ l^-
• Effective chiral lagrangian in the chiral limit from the instanton vacuum
• Instantons and the $\Delta I=1/2$ Rule
• $\Delta S=1,2$ Effective Weak Chiral Lagrangian from the Instanton Vacuum
• Parity-violating $\pi NN$ coupling constant in the chiral quark-soliton model
• Charge asymmetry in K+- --> π+-γγinduced by the electromagnetic penguin operators
• $\Delta S=0$ Effective Weak Chiral Lagrangian from the Instanton Vacuum
• Effective Weak Chiral Lagrangian from the Instanton Vacuum
• Parity-violating $\pi NN$ coupling constant from the flavor-conserving effective weak chiral Lagrangian