Search for light neutral bosons in the experiment E36 at J-PARC

The TREK/E36 experiment conducted at J-PARC in Japan aims to test lepton universality in the ratio of decay widths, R_K = Γ(K_e2)/Γ(K_μ2) by utilizing a K⁺ beam stopped in a scintillating fiber target. Additionally the set-up of the E36 detector system facilitates searches for light U(1) gauge bosons below 300 MeV/c². These bosons could be associated with dark matter or explain the established muon-related anomalies such as the muon g-2 value, and the proton radius puzzle. Particle identification systems in combination with a highly segmented CsI(Tl) photon calorimeter covering 75% of 4π are being used to search for these exotic particles in rare K⁺ decay modes. The status of the particle search as well as simulation based exclusion limits will be presented.