We discuss the phenomenology of a pair of degenerate GeV-scale Heavy Neutral Leptons within the Left-Right Symmetric Model (LRSM) framework, with the third fermion serving as a dark matter candidate. We highlight the potential of the recently approved SHiP experiment to test the existence of the light DM species, and the signatures of lepton number violation as a possible experimental probe of the model in various experiments. Our findings include concrete predictions, in some part of the model's parameter space, for the effective right-handed couplings (VRₑ)²:(VRμ)²:(VRτ)² = 0.16:0.47:0.38 (normal neutrino hierarchy), $0.489 : 0.22 : 0.30$ (inverted hierarchy) of the degenerate pair.
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Oleksii Mikulenko (2024) studied this question.
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