Renormalization of the soft SUSY breaking terms in the strong Yukawa coupling limit in the NMSSM

Abstract

In the strong Yukawa coupling limit the renormalization of trilinear couplings $A_i(t)$ and combinations of the scalar particle masses ${\mathfrak{M}}_i^2(t)$ are studied in the framework of the Next--to--Minimal SUSY Model. The dependence of given parameters on their initial values at the Grand Unification scale disappears when the solutions of the renormalization group equations approach the infrared quasi fixed points. Besides that at ${\tilde{\alpha }}_{\text{GUT}}\ll Y_i(0)\ll 1$ in the vicinity of quasi fixed points $A_i(t)$ and ${\mathfrak{M}}_i^2(t)$ concentrated near lines or surfaces in the soft SUSY breaking parameter space. It occurs because the dependence of trilinear couplings and combinations of scalar particle mass on $A_i(0)$ and ${\mathfrak{M}}_i^2(0)$ disappears rather weakly. We propose a method which enables to obtain equations for such lines and surfaces. Their origin is also discussed by means of exact and approximate solutions of the NMSSM renormalization group equations.

35 pages, 9 figures included; LaTeX2e

References in corpus (5)

• The Higgs mass in the MSSM infrared fixed point scenario
• Exploring Softly Broken SUSY Theories via Grassmannian Taylor Expansion
• Infrared Quasi Fixed Points and Mass Predictions in the MSSM
• Particle spectrum in the modified NMSSM in the strong Yukawa coupling limit
• Infra-Red Stable Fixed Points of Yukawa Couplings in Supersymmetric Models

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• Current experimental constraints on NMSSM with large lambda
• Solving the mu problem with a heavy Higgs boson
• Wrong Sign Bottom Yukawa in Low Energy Supersymmetry
• Implications of vacuum stability constraints on the nonminimal supersymmetric standard model with lepton number violation
• Focus points and the Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model