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In this Letter, we compute the three-loop corrections to the beta functions of the three gauge couplings in the standard model of particle physics using the minimal subtraction scheme and taking into account Yukawa and Higgs self-couplings.
We compute the exact two-loop matching coefficients for the strong coupling constant αs and the bottom-quark mass mb within the Minimal Supersymmetric Standard Model (MSSM), taking into account O(αs) contributions from Supersymmetric Quantum Chromodynamics (SQCD). We find that the explicit mass pattern of the supersymmetric particles has a significant… (More)
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… (More)
We report about the computation of three-loop corrections to the gauge coupling beta functions in the Standard Model.