The quasi-fixed Minimal Supersymmetric Standard Model

1997/07/31 by Steven Abel, Ben Allanach, B. C. Allanach · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Electroweak interaction #Fixed point #Grand Unified Theory #Group (periodic table) #Infrared fixed point #Mathematical analysis #Mathematical physics #Mathematics #Minimal Supersymmetric Standard Model #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Renormalization group #Scale (ratio) #Supersymmetry #Top quark #Yukawa potential #hep-ph

paper · pdf · doi:10.1016/s0370-2693(97)01274-4

published as Phys.Lett. B415 (1997) 371-382 · 19 Pages plain latex; includes 6 eps figures. References and comments added. Version to appear in Phys.Lett.B

arxiv created 1997/09/19 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The infra-red fixed points are determined for all the parameters of the MSSM. They dominate the renormalisation group running when the top-Yukawa is in the quasi-fixed point regime (i.e. large at the GUT scale). We examine this behaviour analytically, by solving the full set of one-loop renormalisation group equations in the approximation that the electroweak contributions are negligible, and also numerically. We find the quasi-fixed points for the top-quark trilinear couplings; A_U_α3 = A_U_3α=-0.59 m_g independently of the input parameters at the unification scale. All the remaining parameters are significantly focused towards their true fixed points at the weak scale. We examine how this increases the predictivity of the MSSM in this regime.

Citations

• The electric dipole moment of the neutron in the constrained minimally supersymmetric standard model
• Some implications of charge and color breaking in the MSSM
• Infrared fixed points and fixed lines in the top-bottom-tau sector in supersymmetric grand unification
• Higgs and supersymmetric particle signals at the infrared fixed point of the top quark mass
• Infra-red fixed points revisited

Cited by

• 2-loop supersymmetric renormalization group equations includingR-parity violation and aspects of unification
• Infra-red stable fixed points of R-parity violating Yukawa couplings in supersymmetric models