An origin for small neutrino masses in the NMSSM

Abstract

We consider the Next to Minimal Supersymmetric Standard Model (NMSSM) which provides a natural solution to the so-called mu problem by introducing a new gauge-singlet superfield S. We realize that a new mechanism of neutrino mass suppression, based on the R-parity violating bilinear terms mu_i L_i H_u mixing neutrinos and higgsinos, arises within the NMSSM, offering thus an original solution to the neutrino mass problem (connected to the solution for the mu problem). We generate realistic (Majorana) neutrino mass values without requiring any strong hierarchy amongst the fundamental parameters, in contrast with the alternative models. In particular, the ratio |mu_i/mu| can reach about 10^-1, unlike in the MSSM where it has to be much smaller than unity. We check that the obtained parameters also satisfy the collider constraints and internal consistencies of the NMSSM. The price to pay for this new cancellation-type mechanism of neutrino mass reduction is a certain fine tuning, which get significantly improved in some regions of parameter space. Besides, we discuss the feasibility of our scenario when the R-parity violating bilinear terms have a common origin with the mu term, namely when those are generated via a VEV of the S scalar component from the couplings lambda_i S L_i H_u. Finally, we make comments on some specific phenomenology of the NMSSM in the presence of R-parity violating bilinear terms.

arXiv comment21 pages, 5 figures, Latex file

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• Analysis of the parameter space and spectrum of the $\mu \nu$SSM
• LHC phenomenology of the $\mu \nu$SSM
• Radiative contribution to neutrino masses and mixing in $\mu \nu$SSM
• Spontaneous R-Parity Violation, $A_4$ Flavor Symmetry and Tribimaximal Mixing
• A new mechanism of neutrino mass generation in the NMSSM with broken lepton number
• SUSY radiative corrections on mu-tau neutrino refraction including possible R-parity breaking interactions
• A possible connection between neutrino mass generation and the lightness of a NMSSM pseudoscalar
• Neutrino masses from a pseudo-Dirac Bino
• Dark matter and neutrino masses in the R-parity violating NMSSM
• One-loop contribution to the neutrino mass matrix in NMSSM with right-handed neutrinos and tri-bimaximal mixing
• Implications of vacuum stability constraints on the nonminimal supersymmetric standard model with lepton number violation
• Spontaneous R-parity violating type III seesaw
• Phenomenological Aspects of R-parity Violating Supersymmetry with A Vector-like Extra Generation
• Extending the MSSM with singlet Higgs and right handed neutrino for the self-interacting dark matter
• R-Parity Violating Supersymmetry and the 125 GeV Higgs signals