## Running of $\alpha_s$ and $m_b$ in the MSSM

Harlander, R. V.
Mihaila, L.
Steinhauser, M.
##### Description
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 $m_b$.
Comment: 19 pages, 4 figures,references added
##### Keywords
High Energy Physics - Phenomenology