# TTP08-25 Matching coefficients for the strong coupling and the bottom quark mass to $O(\alpha_s^2)$ in SUSY-QCD

TTP08-25 Matching coefficients for the strong coupling and the bottom quark mass to $O(\alpha_s^2)$ in SUSY-QCD

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 PDF PostScript arXiv Programs and Data