====== TTP07-12 Running of $\alpha_s$ and $m_b$ in the MSSM ====== A consistent evolution of the strong coupling constant $\alpha_s$ from $M_Z$ to the GUT scale is presented, involving three-loop running and two-loop decoupling. The two-loop transition from the MS- to the DR-scheme is properly taken into account. In the second part of the paper, the bottom quark mass in the DR- scheme at the electroweak/SUSY scale is evaluated with four-loop accuracy. We find that the three-loop effects are comparable to the experimental uncertainty both for $\alpha_s$ and $m_b$. |**R.V. Harlander, L. Mihaila, M. Steinhauser** | |** Phys.Rev.D 76 055002 2007 ** | | {{preprints:2007:ttp07-12.pdf|PDF}} {{preprints:2007:ttp07-12.ps|PostScript}} [[http://arxiv.org/abs/0706.2953|arXiv]] | | |