The mu term and neutrino masses

作者：Chen Mu Chun; Ratz Michael; Staudt Christian; Vaudrevange Patrick K S^*

来源：Nuclear Physics B, 2013, 866(2): 157-176.

DOI：10.1016/j.nuclphysb.2012.08.018

The well-known Giudice-Masiero mechanism explains the presence of a mu term of the order of the gravitino mass, but does not explain why the holomorphic mass term is absent in the superpotential. We discuss anomaly-free discrete symmetries which are both compatible with SU(5) unification of matter and the Giudice-Masiero mechanism, i.e. forbid the mu term in the superpotential while allowing the necessary Kahler potential term. We find that these are Z(M)(R) symmetries with the following properties: (i) M is a multiple of four; (ii) the Higgs bilinear H-u H-d transforms trivially; (iii) the superspace coordinate theta has charge M/4 and, accordingly, the superpotential has charge M/2; (iv) dimension-five proton decay operators are automatically absent. All Z(M)(R) symmetries are anomaly-free due to a non-trivial transformation of a Green-Schwarz axion, and, as a consequence, a holomorphic mu term appears at the non-perturbative level. There is a unique symmetry that is consistent with the Weinberg operator while there is a class of Z(M)(R) which explain suppressed Dirac neutrino masses.

• 出版日期2013-1-11