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What is the Discrete Gauge Symmetry of the MSSM?

Herbi K. Dreiner·Christoph Luhn·Marc Thormeier
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Abstract

We systematically study the extension of the Supersymmetric Standard Model (SSM) by an anomaly-free discrete gauge symmetry Z_N. We extend the work of Ibanez and Ross with N=2,3 to arbitrary values of N. As new fundamental symmetries, we find four Z_6, nine Z_9 and nine Z_18. We then place three phenomenological demands upon the low-energy effective SSM: (i) the presence of the mu-term in the superpotential, (ii) baryon-number conservation upto dimension-five operators, and (iii) the presence of the see-saw neutrino mass term LHLH. We are then left with only two anomaly-free discrete gauge symmetries: baryon-triality, B_3, and a new Z_6, which we call proton-hexality, P_6. Unlike B_3, P_6 prohibits the dimension-four lepton-number violating operators. This we propose as the discrete gauge symmetry of the Minimal SSM, instead of R-parity.

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Herbi K. Dreiner, Christoph Luhn, Marc Thormeier. 2006-10-04. What is the Discrete Gauge Symmetry of the MSSM?. https://doi.org/10.1103/physrevd.73.075007

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