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New physics may be discovered by finding discrepancies between Standard Model predictions and respective experimental measurements. Promising quantities are rare decays involving a flavour changing neutral current which is only allowed at loop-level in the Standard Model, and could enhanced by new physics effect. An example for such a process is the rare decay of a Hyperon $\Sigma^+ \to p \mu^+\mu^-$, which has been measured by LHCb in 2018. In this talk I will discuss how the rare Hyperon decay can be determined using Lattice QCD, and present results of an exploratory calculation at unphysical quark masses.