Snowmass Benchmark Points and Three-Loop Running

Abstract

We present the full three-loop beta-functions for the MSSM generalised to include additional matter multiplets in 5, 10 representations of SU(5). We analyse in detail the effect of three-loop running on the sparticle spectrum for the MSSM Snowmass Benchmark Points. We also consider the effect on these spectra of additional matter multiplets (the semi-perturbative unification scenario).

28 pages, TeX, 4 figures, 10 tables. Uses Harvmac and epsf

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• Three-loop SM beta-functions for matrix Yukawa couplings
• Precision Calculations in Supersymmetric Theories
• Higgs mass prediction in the MSSM at three-loop level in a pure $\overline{\text{DR}}$ context
• Higher Order Corrections and Unification in the Minimal Supersymmetric Standard Model: SOFTSUSY3.5.0
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• The NSVZ relations for $\mathcal{N}=1$ supersymmetric theories with multiple gauge couplings
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• Three-loop $\beta$-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme
• On the two-loop decoupling corrections to tau-lepton and b-quark running masses in the MSSM
• Two-loop beta-functions and their effects for the R-parity Violating MSSM
• Partially composite supersymmetry
• Three-loop anomalous dimensions for squarks in supersymmetric QCD
• The $\beta$-function of supersymmetric theories from vacuum supergraphs: a three-loop example
• Measuring the MSSM Lagrangean
• Anomaly Mediation, Fayet-Iliopoulos D-terms and the Renormalisation Group
• The Full Two-Loop R-parity Violating Renormalization Group Equations for All Minimal Supersymmetric Standard Model Couplings