The $\mu\nu$SSM with an extra U(1)

Understand

The $\mu\nu$SSM solves the $\mu$ problem of the MSSM and generates correct neutrino masses by simply using right-handed neutrinos.

• This mechanism implies that only dimensionless trilinear terms, breaking R-parity, are present in the superpotential.
• We present an extension of the $\mu\nu$SSM with an extra U(1) gauge symmetry.
• We use the extra U(1) charges of the matter fields to forbid the presence in the superpotential of renormalizable and non-renormalizable baryon number violating operators, the trilinear operator producing a domain wall problem, and bilinear operators such as the $\mu$ term and the Majorana masses.