Minimal Supersymmetric SU(5) and Gauge Coupling Unification at Three Loops

Abstract

We consider the relations between the gauge couplings at the electroweak scale and the high scale where unification of the three gauge couplings is expected. Threshold corrections are incorporated both at the supersymmetric and at the grand unified scale and, where available three-loop running and two-loop decoupling are employed. We study the impact of the current experimental uncertainties of the coupling constants and the supersymmetric mass spectrum on the prediction of the super-heavy masses within the so-called minimal supersymmetric SU(5). As a main result of the three-loop analysis we confirm that minimal supersymmetric SU(5) cannot be ruled out by the current experimental data on proton decay rates.

22 pages, 6 figures, references added, v2 matches published version

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Cited by in corpus (13)

• Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order
• Light color octet scalars in the minimal SO(10) grand unification
• Precision Calculations in Supersymmetric Theories
• Supersymmetric type-III seesaw: lepton flavour violating decays and dark matter
• Aspects of symmetry breaking in Grand Unified Theories
• Unification scale vs. electroweak-triplet mass in the SU(5) + 24_F model at three loops
• The Reach of Threshold-Corrected Dark QCD
• SU(5)xSU(5) unification revisited
• Towards a New Minimal SO(10) Unification
• Flavor Physics in an SO(10) Grand Unified Model
• Effects of supersymmetric threshold corrections on the Yukawa matrix unification
• Towards a Two-Loop Matching of Gauge Couplings in Grand Unified Theories
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions