We study the contributions from the connected and disconnected contraction diagrams to the pion-kaon scattering amplitude within the framework of SU$(4|1)$ partially-quenched chiral perturbation theory. Combining this with a finite-volume analysis, we demonstrate that a lattice calculation of the easier computable connected correlation functions is able to provide valuable information of the noisier disconnected correlation functions, and may serve as a theory guidance for the future refinement of the corresponding lattice techniques.

中文翻译：

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pion-kaon散射中的收缩图分析

我们研究了SU框架内连通和非连通收缩图对pion-kaon散射振幅的贡献。$（4|\mathrm{1个}）$部分猝灭的手性摄动理论。结合有限体积分析，我们证明了较容易计算的连通相关函数的晶格计算能够提供嘈杂的，不相关的相关函数的有价值的信息，并且可以为相应晶格的未来改进提供理论指导技术。