2-loop supersymmetric renormalization group equations includingR-parity violation and aspects of unification

1999/02/05 by B. C. Allanach, Athanasios Dedes, A. Dedes +2 · 70 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Fixed point #Grand Unified Theory #Infrared fixed point #Mathematical physics #Mathematics #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #R-parity #Renormalization group #Scalar (mathematics) #Superpotential #Supersymmetry #Yukawa potential #hep-ph

paper · pdf · doi:10.1103/physrevd.60.056002

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 60(5) (American Physical Society) · 30 Pages, LaTex, 6 Figures

arxiv created 1999/02/05 · openalex publication_date 1999/08/04 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present the complete 2-loop renormalization group equations of superpotential parameters for the supersymmetric standard model including the full set of R-parity violating superpotential couplings. We use these equations to do a study of (a) gauge coupling unification, (b) bottom-tau unification, (c) the fixed-point structure of the top quark Yukawa coupling, and (d) two-loop bounds from perturbative unification. The value of \ensuremathα_S(M_Z) predicted from unification can be reduced by 5% with respect to the R-parity conserving case, bringing it to within 2\ensuremathσ of the observed value. Bottom-tau Yukawa unification becomes potentially valid for any value of tan\ensuremathβ\ensuremath∼2--50. The prediction of the top Yukawa coupling from the low tan\ensuremathβ infrared quasi-fixed point can be lowered by up to 10%, raising tan\ensuremathβ up to a maximum of 5 and relaxing experimental constraints upon the quasi-fixed scenario. For heavy scalar fermion masses O(1TeV) the limits on the higher family \ensuremathΔL\ensuremath≠0 operators from perturbative unification are competitive with the indirect laboratory bounds. We calculate the dependence of these bounds upon tan\ensuremathβ.

Citations

• Observation of the Top Quark
• The quasi-fixed Minimal Supersymmetric Standard Model
• Observation of Top Quark Production inp¯pCollisions with the Collider Detector at Fermilab
• A NEW ANSATZ FOR QUARK AND LEPTON MASS MATRICES
• Uncertainties in coupling constant unification
• Aspects of the grand unification of strong, weak and electromagnetic interactions
• R-parity violation and unification
• Infra-red fixed points revisited
• Unity of All Elementary-Particle Forces
• Implications of Yukawa unification for the Higgs sector in supersymmetric grand-unified models
• Supersymmetric grand unified theories: Two-loop evolution of gauge and Yukawa couplings

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