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The evolution of the strong coupling constant $\alpha_s$ from $M_Z$ to theGUT scale is presented, involving three-loop running and two-loop decoupling.Accordingly, the two-loop transition from the $\bar{\rm MS}$ to the $\bar{\rmDR}$ scheme is properly taken into account. We find that the three-loop effectsare comparable to the experimental uncertainty for $\alpha_s$.

Running of $\alpha_s$ in the MSSM with three-loop accuracy