Testing the Mechanism for the LSP Stability at the LHC

Understand

The lightest supersymmetric particle (LSP) is a natural candidate for the cold dark matter of the universe.

• In this Letter we discuss how to test the mechanism responsible for the LSP stability at the LHC.
• We note that if R-parity is conserved dynamically one should expect a Higgs boson which decays mainly into two right-handed neutrinos (a "leptonic" Higgs) or into two sfermions.
• The first case could exhibit spectacular lepton number violating signals with four secondary vertices due to the long-lived nature of right-handed neutrinos.