Proposal for a Supersymmetric Standard Model

DANIEL E. LOPEZ -FOGLIANI, CARLOS MUÑOZ

PHYSICAL REVIEW LETTERS

The American physical Society

Año: 2006 vol. 97 p. 1801 - 1805

0031-9007

The fact that neutrinos are massive suggests that the minimal supersymmetric standard model (MSSM) might be extended in order to include three gauge-singlet neutrino supefields with Yukawa couplings of the type $H_2 L u^c$ . We propose to use these superfields to solve the $mu$ problem of the MSSM without having to introduce an extra singlet superfield as in the case of the next-to-MSSM (NMSSM). In particular, terms of the type $ u^c H_1 H_2$ in the superpotential may carry out this task spontaneously through sneutrino vacuum expectation values. In addition, terms of the type ( u^c)^3 avoid the presence of axions and generate effectivec Majorana masses for neutrinos at the electroweak scale. On the other hand, these terms break lepton number and R parity explicitly. For Dirac masses of the neutrinos of order $10^{-4}$~GeV, eigenvalues reproducing the correct scale of neutrino masses are obtained.