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The apparent unification of gauge couplings in Grand Unified Theories around10$^{16}$ GeV is one of the strong arguments in favor of Supersymmetricextensions of the Standard Model. In this paper, an analysis of themeasurements of the strong coupling running from the CMS experiment at the LHCis combined with a "traditional" gauge coupling unification analysis using dataat the Z peak. This approach places powerful constraints on the possible scalesof new physics and on the parameters around the unification scale. Asupersymmetric analysis without GUT threshold corrections describes the CMSdata well and provides perfect unification. The favored scales are $M_{SUSY}\=\ 2820\ +670\ -540$ GeV and $M_{GUT}\ =\ 1.05 \pm 0.06 \cdot 10^{16}$ GeV. Forzero or small threshold corrections the scale of new physics may be well withinLHC reach.

Strong Coupling Running, Gauge Coupling Unification and the Scale of New Physics