B and L at the SUSY Scale, Dark Matter and R-parity Violation

Understand

We present a simple theory where baryon and lepton numbers are spontaneously broken at the supersymmetry scale.

• In this context R-parity must be spontaneously broken but the theory still contains a stable field which can play the role of the cold dark matter of the Universe.
• We discuss the spectrum of the theory, the properties of the dark matter candidate and the predictions for direct detection experiments.
• This theory provides a concrete example of exotic supersymmetric signatures associated with having the simultaneous presence of R-parity violating and missing energy signals at the Large Hadron Collider.