Renormalization Group Evolution and Infra-red Fixed Points in Minimal Supersymmetric Standard Model with Baryon and Lepton Number Violation

Abstract

We study the renormalization group evolution and infra-red stable fixed points of the Yukawa couplings and the soft supersymmetry breaking trilinear couplings of the minimal supersymmetric standard model with baryon and lepton number (and R-parity) violation involving the heaviest generations. We show analytically that in the Yukawa sector there is only one infra-red stable fixed point. This corresponds to 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 the $\tau$-Yukawa coupling. All other possible fixed points are either unphysical or unstable in the infra-red region. We then 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 also study the quasi-fixed point behaviour, both algebraically and with numerical solutions of the evolution equations, 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 supersymmetry breaking trilinear couplings.

19 pages LaTeX with 6 figurs embedded as eps files Replaced with version to appear in Physical Review D

References in corpus (2)

• Infra-red stable fixed points of Yukawa couplings in non-minimal supersymmetric standard model with R-parity violation
• Infra-red stable fixed points of R-parity violating Yukawa couplings in supersymmetric models

Cited by in corpus (5)

• Phenomenological constraints on broken R parity symmetry in supersymmetry models
• Nonminimal Supersymmetric Standard Model with Baryon and Lepton Number Violation
• Renormalizaion group equations and infrared quasi fixed point behaviors of non-universal soft terms in MSSM
• Infrared Fixed Point Structure in Minimal Supersymmetric Standard Model with Baryon and Lepton Number Violation
• Reply to Comment on Infrared Fixed Point Structure in the Minimal Supersymmetric Standard Model with Baryon and Lepton Number Violation