====== TTP08-25 Matching coefficients for the strong coupling and the bottom quark mass to $O(\alpha_s^2)$ in SUSY-QCD ====== We compute the exact two-loop matching coefficients for the strong coupling constant alpha_s and the bottom-quark mass m_b within the Minimal Supersymmetric Standard Model (MSSM), taking into account O(alpha_s^2) contributions from Supersymmetric Quantum Chromodynamics (SQCD). We find that the explicit mass pattern of the supersymmetric particles has a significant impact on the predictions of alpha_s and m_b at high energies. Further on, the three-loop corrections exceed the uncertainty due to the current experimental accuracy. In case of the the running bottom-quark mass, they can reach in the large tan(beta) regime up to 30% from the tree-level value. |**A. Bauer, L. Mihaila, J. Salomon** | |** JHEP. 0902 037 2009 ** | | {{preprints:2008:ttp08-25.pdf|PDF}} {{preprints:2008:ttp08-25.ps|PostScript}} [[http://arxiv.org/abs/0810.5101|arXiv]] [[http://ttp.kit.edu/Progdata/ttp08/ttp08-25|Programs and Data]] | | |