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

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

1999-03-06

arxiv.org/abs/hep-ph/9903275v2

Nucl.Phys. B562 (1999) 213-236

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/S0550-3213(99)00488-5

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 ${\cal O} (p^4)$. We examine the contributions of the order ${\cal O} (N_c)$ to the ratio $g_{\underline{8}}/g_{\underline{27}}$, considering e.g. the quark axial-vector constant $g_{\rm A}$ different from unity. The low energy constants of the counterterms are also presented and discussed.

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