Implications of vacuum stability constraints on the nonminimal supersymmetric standard model with lepton number violation

Marc Chemtob (1) , P.N. Pandita (2)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 North Eastern Hill University

We carry out a detailed analysis of the scalar sector of the nonminimal supersymmetric standard model with lepton number violation, and study the constraints imposed on it by the stability of the electroweak symmetry breaking vacuum. The model contains a trilinear lepton mumber violating term in the superpotential together with the associated supersymmetry breaking interactions which can give rise to neutrino masses. We evaluate the mass matrices for the various boson and fermion modes and then discuss the effect that the lepton number violating interactions have on the mass spectra using a phenomenological precription to implement the experimental constraints on the light neutrinos mass matrix. We also discuss qualitatively the conditions on the lepton number violating parameters set by the unbounded from below directions, and from the absence of the charge and color breaking minima in this model.

Mots clés: numbers: 1260Jv; 1460Ly; 1130Fs * Electronic address: marcchemtob@ceafr † Electronic address: ppandita@nehuacin

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

Marc Chemtob, P.N. Pandita. Implications of vacuum stability constraints on the nonminimal supersymmetric standard model with lepton number violation. Physical Review D, 2007, 76 (9), pp.095019. ⟨10.1103/PhysRevD.76.095019⟩. ⟨cea-02905703⟩