对两光子对 $K_L\to\mu^+\mu^-$ 贡献的三味格点计算进行重整化
Renormalizing a three-flavor lattice calculation of the two-photon contribution to $K_L\toμ^+μ^-$
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中文总结 AI 辅助
研究 $K_L\to\mu^+\mu^-$ 衰变中两光子贡献，通过格点 QCD 和有效三味理论计算，因缺少特定抵消含依赖 $m_c$ 的低能常数，借助四味格点 QCD 小体积计算确定这些常数。
中文摘要 AI 辅助
标准模型对罕见的 $K_L\to\mu^+\mu^-$ 衰变的预测关键取决于双光子交换产生的长程贡献。这种贡献可通过格点量子色动力学和仅包含 $u$、$d$ 和 $s$ 夸克的有效三味理论来计算，忽略与被省略的粲夸克质量的平方反比成比例下降的项。由于缺少格拉肖 - 伊利奥普洛斯 - 马伊阿尼抵消，该三味理论包含依赖于 $m_c$ 的额外低能常数。本文展示了如何从在小体积上进行的、具有比物理质量更重的 $u$ 和 $d$ 夸克质量的实用四味格点量子色动力学计算中确定这些常数。
英文摘要
The Standard Model prediction for the rare $K_L\toμ^+μ^-$ decay depends critically on the long-distance contribution coming from the exchange of two photons. Such a contribution can be computed using lattice QCD and an effective three-flavor theory including only the $u$, $d$ and $s$ quarks, provided terms falling as the inverse square of the omitted charm quark mass, $1/m_c^2$ are neglected. Because of the missing Glashow-Iliopoulos-Maiani cancelation, this three-flavor theory contains additional low-energy constants that depend on $m_c$. Here we show how these constants can be determined from a practical four-flavor lattice QCD calculation performed on a small volume with $u$ and $d$ quark masses that are heavier than physical.
