Lepton Number Violating \(K \rightarrow \pi \nu \nu \) Decays
摘要
The rare decays \( K \rightarrow \pi \nu \bar{\nu } \) are pivotal for probing physics beyond the Standard Model. In this study, we investigate these decays within the framework of leptoquarks, focusing on lepton flavor conserving (LFC) kaon decay channels. Additionally, we explore the potential for detecting lepton number violating (LNV) operators in the \( K \rightarrow \pi \nu \bar{\nu } \) decays. Our work provides insights into the possible effects of leptoquarks on these rare decays and sets constraints on the leptoquark couplings and masses from both LFC and LNV processes.