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SU(3) and Nonet Breaking Effects in $K_L \to γγ$ Induced by $s \to d + 2{gluon}$ due to Anomaly

X. -G. He·C. -S. Huang·X. -Q. Li
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Abstract

In this paper we study the effects of $s\to d + 2{gluon}$ on $K_L \to γγ$ in the Standard Model. We find that this interaction can induce new sizeable SU(3) and U(3) nonet breaking effects in $K_L - η, η'$ transitions and therefore in $K_L\to γγ$ due to large matrix elements of $<η(η')|α_s G^a_{μν} \tilde G_a^{μν}|0>$ from QCD anomaly. These new effects play an important role in explaining the observed value. We also study the effects of this interaction on the contribution to $Δm_{K_L-K_S}$.

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X. -G. He, C. -S. Huang, X. -Q. Li. 2003-05-20. SU(3) and Nonet Breaking Effects in $K_L \to γγ$ Induced by $s \to d + 2{gluon}$ due to Anomaly. https://doi.org/10.1103/physrevd.67.096005

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