Supergraph Approach in a Higher-order LDE Calculation of the Effective Potential for F-type Broken SUSY

Abstract

In this work, we adopt the simplest model that spontaneously breaks supersymmetry, namely, the minimal O'Raifeartaigh model. The effective potential is computed in the framework of the linear delta expansion (LDE) approach up to the order ${\delta }^2$, conjugated with superspace and supergraph techniques. The latter can be duly mastered even if supersymmetry is no longer exact and the efficacy of the superfield approach in connection with the LDE procedure is confirmed according to our investigation. That opens up a way for a semi-nonperturbative superspace computation which allows us to deal with spontaneously broken supersymmetric models and encourages us to go further and apply this treatment to the Minimal Supersymmetric Standard Model (MSSM) precision tests.

arXiv comment42 pages, 22 figures, text modified, new paragraph added in the conclusions, revtex4

References in corpus (27)

• Optimized delta expansion for relativistic nuclear models
• Dynamical SUSY Breaking in Meta-Stable Vacua
• R Symmetry Breaking Versus Supersymmetry Breaking
• The Standard Model Effective Potential at Two Loops
• Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry
• Lectures on Supersymmetry Breaking
• Complete Two-loop Dominant Corrections to the Mass of the Lightest CP-even Higgs Boson in the Minimal Supersymmetric Standard Model
• Supersymmetry Breaking, R-Symmetry Breaking and Metastable Vacua
• Spontaneous R-Symmetry Breaking in O'Raifeartaigh Models
• Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
• 2004 TASI Lectures on Supersymmetry Breaking
• Supersymmetry of a different kind
• Convergent resummed linear delta expansion in the critical O(N) (ϕ_i^2)^2_{3d} model
• Thermodynamics and Phase Structure of the Two-Flavor Nambu--Jona-Lasinio Model Beyond Large-N_c
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• High Temperature Resummation in the Linear $\delta$-Expansion
• Optimized perturbation theory for charged scalar fields at finite temperature and in an external magnetic field
• Convergence of the Linear Delta Expansion in the Critical O(N) Field Theory
• Critical Dopant Concentration in Polyacetylene and Phase Diagram from a Continuous Four-Fermi Model
• Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
• Nonperturbative Yukawa theory at finite density and temperature
• Supersymmetry and R-symmetry breaking in models with non-canonical Kahler potential
• An extension of the Linear Delta Expansion to Superspace
• Effective Action of Softly Broken Supersymmetric Theories
• Linear delta expansion applied to the O'Raifeartaigh model
• Superspace evaluation of the two-loop effective potential for the O'Raifeartaigh model
• Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter

Cited by in corpus (1)

• Reliability of the optimized perturbation theory in the 0-dimensional $O(N)$ scalar field model