Studying $\varepsilon '/\varepsilon$ in the Chiral Quark Model: $γ_5$-Scheme Independence and NLO Hadronic Matrix Elements

Physics – High Energy Physics – High Energy Physics - Phenomenology

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38 pages, LATEX, including 4 eps figures

Scientific paper

10.1016/0550-3213(95)00274-V

We study the $CP$-violating, $|\Delta S| =1$ parameter $\varepsilon '/\varepsilon$ by computing the hadronic matrix elements in the chiral quark model. We estimate the coefficients of the next-to-leading order terms in the chiral expansion that correspond to the operators $Q_6$ and $Q_{11}$. We consider the impact of these corrections on the value of $\varepsilon '/\varepsilon$. We also investigate the possibility that the chiral quark model might drastically reduce the dimensional regularization $\gamma_5$-scheme dependence of current evaluations of $\varepsilon '/\varepsilon$.

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