A unique Z_4^R symmetry for the MSSM

Details A unique Z_4^R symmetry for the MSSM A unique Z_4^R symmetry for the MSSM

2010-09-05

arxiv.org/abs/1009.0905v2

Phys.Lett.B694:491-495,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages

Scientific paper

10.1016/j.physletb.2010.10.038

We consider the possible anomaly free Abelian discrete symmetries of the MSSM that forbid the mu-term at perturbative order. Allowing for anomaly cancellation via the Green-Schwarz mechanism we identify discrete R-symmetries as the only possibility and prove that there is a unique Z_4^R symmetry that commutes with SO(10). We argue that non-perturbative effects will generate a mu-term of electroweak order thus solving the mu-problem. The non-perturbative effects break the Z_4^R symmetry leaving an exact Z_2 matter parity. As a result dimension four baryon- and lepton-number violating operators are absent while, at the non-perturbative level, dimension five baryon- and lepton-number violating operators get induced but are highly suppressed so that the nucleon decay rate is well within present bounds.

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