Motivated by the LHCb and BESIII hyperon programs we discuss different possibilities to constrain new physics with rare hyperon decay modes, including the rare mode Σ⁺ → pμ⁺μ⁻, charged lepton flavour violating modes, and Δ S=2 modes. We review the status of standard model calculations of the processes that are allowed and illustrate the new physics windows that remain after considering the constraints that exist from kaon physics.
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G. Valencia (2024) studied this question.
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