Nonminimal Supersymmetric Standard Model with Baryon and Lepton Number Violation

Abstract

We carry out a comprehensive analysis of the nonminimal supersymmetric standard model (NMSSM) with baryon and lepton number violation. We catalogue the baryon and lepton number violating dimension four and five operators of the model. We then study the renormalization group evolution and infrared stable fixed points of the Yukawa couplings and the soft supersymmetry breaking trilinear couplings of this model with baryon and lepton number (and R-parity) violation involving the heaviest generations. We show analytically that in the Yukawa sector of the NMSSM there is only one infrared stable fixed point. This corresponds to a non-trivial fixed point for the top-, bottom-quark Yukawa couplings and the $B$ violating coupling ${\lambda }_{233}^{\prime \prime }$, and a trivial one for all other couplings. All other possible fixed points are either unphysical or unstable in the infrared region. We also carry out an analysis of the renormalization group equations for the soft supersymmetry breaking trilinear couplings, and determine the corresponding fixed points for these couplings. We then study the quasi-fixed point behaviour, both of the third generation Yukawa couplings and the baryon number violating coupling, and those of the soft supersymmetry breaking trilinear couplings. From the analysis of the fixed point behaviour, we obtain upper and lower bounds on the baryon number violating coupling ${\lambda }_{233}^{\prime \prime }$, as well as on the soft supersymmetry breaking trilinear couplings. Our analysis shows that the infrared fixed point behavior of NMSSM with baryon and lepton number violation is similar to that of MSSM.

35 pages, Revtex, 6 eps figs

References in corpus (4)

• Analytical Study of Non-Universality of the Soft Terms in the MSSM
• Infra-red stable fixed points of Yukawa couplings in non-minimal supersymmetric standard model with R-parity violation
• Renormalization Group Evolution and Infra-red Fixed Points in Minimal Supersymmetric Standard Model with Baryon and Lepton Number Violation
• Infrared Fixed Point Structure in Minimal Supersymmetric Standard Model with Baryon and Lepton Number Violation

Cited by in corpus (12)

• The Next-to-Minimal Supersymmetric Standard Model
• Phenomenological constraints on broken R parity symmetry in supersymmetry models
• Neutrino masses and mixing, lightest neutralino decays and a solution to the $\mu$ problem in supersymmetry
• Analysis of the parameter space and spectrum of the $\mu \nu$SSM
• Radiative contribution to neutrino masses and mixing in $\mu \nu$SSM
• Nonminimal supersymmetric standard model with lepton number violation
• Dark matter and neutrino masses in the R-parity violating NMSSM
• Infrared Quasi Fixed Point Structure in Extended Yukawa Sectors and Application to R-parity Violation
• Implications of vacuum stability constraints on the nonminimal supersymmetric standard model with lepton number violation
• One-loop contribution to the neutrino mass matrix in NMSSM with right-handed neutrinos and tri-bimaximal mixing
• Comment on ``Infrared Fixed Point Structure in Minimal Supersymmetric Standard Model with Baryon and Lepton Number Violation"
• SUSY: New Perspectives and Variants