General one-loop renormalization group evolutions and electroweak symmetry breaking in the (M+1)SSM

Abstract

We study analytically the general features of electroweak symmetry breaking in the context of the Minimal Supersymmetric Standard Model extended by one Higgs singlet. The exact analytical forms of the renormalization group evolutions of the Yukawa couplings and of the soft supersymmetry breaking parameters are derived to one-loop order. They allow on one hand controllable approximations in closed analytical form, and on the other a precise study of the behaviour of infrared quasi fixed point regimes which we carry out. Some of these regimes are shown to be phenomenologically inconsistent, leading to too small an effective $\mu$-parameter. The remaining ones serve as a suitable benchmark to understand analytically some salient aspects, often noticed numerically in the literature, in relation to the electroweak symmetry breaking in this model. The study does not need any specific assumption on $\tan \beta$ or on boundary conditions for the soft supersymmetry breaking parameters, thus allowing a general insight into the sensitivity of the low energy physics to high energy assumptions.

Latex, 41 pages, 7 figures

References in corpus (6)

• Multi-TeV Scalars are Natural in Minimal Supergravity
• New Minimal Extension of MSSM
• Search for Charginos and Neutralinos in e+e- collisions at \sqrt{s} = 189 Gev
• Analytical Study of Non-Universality of the Soft Terms in the MSSM
• A convergent scheme for one-loop evolutions of the Yukawa couplings in the MSSM
• Search for charginos in e+e- interactions at sqrt(s) = 189 GeV

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• The Next-to-Minimal Supersymmetric Standard Model
• On Naturalness of the MSSM and NMSSM
• Non-universal gaugino masses and fine tuning implications for SUSY searches in the MSSM and the GNMSSM
• Infrared Quasi Fixed Point Structure in Extended Yukawa Sectors and Application to R-parity Violation
• Comment on ``Infrared Fixed Point Structure in Minimal Supersymmetric Standard Model with Baryon and Lepton Number Violation"
• Focus points and the Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model
• Top-down and bottom-up excursions beyond the Standard Model: The example of left-right symmetries in supersymmetry