Higher Order Corrections and Unification in the Minimal Supersymmetric Standard Model: SOFTSUSY3.5.0

Abstract

We explore the effects of three-loop minimal supersymmetric standard model renormalisation group equation terms and some leading two-loopthreshold corrections on gauge and Yukawa unification: each being one loop higher order than current public spectrum calculators. We also explore the effect of the higher order terms (often 2-3 GeV) on the lightest CP even Higgs mass prediction. We illustrate our results in the constrained minimal supersymmetric standard model. Neglecting threshold corrections at the grand unified scale, the discrepancy between the unification scale ${\alpha }_s$ and the other two unified gauge couplings changes by 0.1$\%$ due to the higher order corrections and the difference between unification scale bottom-tau Yukawa couplings neglecting unification scale threshold corrections changes by up to 1$\%$. The difference between unification scale bottom and top Yukawa couplings changes by a few percent. Differences due to the higher order corrections also give an estimate of the size of theoretical uncertainties in the minimal supersymmetric standard model spectrum. We use these to provide estimates of theoretical uncertainties in predictions of the dark matter relic density (which can be of order one due to its strong dependence on sparticle masses) and the LHC sparticle production cross-section (often around 30$\%$). The additional higher order corrections have been incorporated into SOFTSUSY, and we provide details on how to compile and use the program. We also provide a summary of the approximations used in the higher order corrections.

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• FlexibleSUSY -- A spectrum generator generator for supersymmetric models
• Higgs-mass predictions in the MSSM and beyond
• Two-loop QCD corrections to the MSSM Higgs masses beyond the effective-potential approximation
• Higgs mass prediction in the MSSM at three-loop level in a pure $\overline{\text{DR}}$ context
• Two-loop Higgs mass calculation from a diagrammatic approach
• Muon g-2, Neutralino Dark Matter and Stau NLSP
• Novel Higgsino Dark Matter Signatures at the LHC
• Radiative corrections to stop-antistop annihilation into gluons and light quarks
• Search strategy for gluinos at the LHC with a Higgs boson decaying into tau leptons
• Minimal Nambu-Goldstone Higgs Model in Supersymmetric SU(5) Revisited