Infra-red stability of Yukawa and soft-breaking fixed points

Abstract

We investigate the infra-red stability of the fixed points in the evolution of the Yukawa couplings, $A$-parameters and soft scalar masses in a broad class of supersymmetric theories. We show that the issue of stability is essentially determined in all three cases by the eigenvalues of the same matrix. In a very wide range of physically interesting theories it follows that, in the asymptotically free case, the existence of stable infra-red fixed points for the Yukawa couplings implies stable infra-red fixed points for the $A$-parameters and soft scalar masses.

12 pages, tex, Uses harvmac (big). Errors corrected in Eqs. (33)-(35), and some references added

References in corpus (3)

• The Higgs mass in the MSSM infrared fixed point scenario
• The MSSM at the low tan beta fixed point is meta-stable
• Sum rules in the superpartner spectrum of the minimal supersymmetric standard model

Cited by in corpus (16)

• R-parity violating supersymmetry
• Phenomenological constraints on broken R parity symmetry in supersymmetry models
• Non-standard soft supersymmetry breaking
• 2-Loop Supersymmetric Renormalisation Group Equations Including R-Parity Violation and Aspects of Unification
• Nonabelian Discrete Family Symmetry to Soften the SUSY Flavor Problem and to Suppress Proton Decay
• Infrared Quasi Fixed Points and Mass Predictions in the MSSM II: Large tan(beta) Scenario
• Supersymmetry in Particle Physics: The Renormalization Group Viewpoint
• Analytical Study of Non-Universality of the Soft Terms in the MSSM
• Nonminimal Supersymmetric Standard Model with Baryon and Lepton Number Violation
• Double Suppression of FCNCs in Supersymmetric Models
• Infra-red stable fixed points of R-parity violating Yukawa couplings in supersymmetric models
• Mass predictions based on a supersymmetric SU(5) fixed point
• 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
• Softening the Supersymmetric Flavor Problem in Orbifold GUTs
• Infra-red fixed points in supersymmetry