O(\alpha_s^2) corrections to the running top-Yukawa coupling and the mass of the lightest Higgs boson in the MSSM

Understand

In this paper we propose a method to compute the running top-Yukawa coupling in supersymmetric models with heavy mass spectrum based on the "running" and "decoupling" procedure.

• In order to enable this approach we compute the two-loop SUSY-QCD radiative corrections required in the decoupling process.
• The method has the advantage that large logarithmic corrections are automatically resummed through the Renormalization Group Equations.
• As phenomenological application we study the effects of this approach on the prediction of the lightest Higgs boson mass at three-loop accuracy.