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In this article we provide explicit computations of the quantum correctionsto the lightest CP-even Higgs Boson mass in the real version of the MinimalSupersymmetric Standard Model. We compute the contributions coming from theSUSY-QCD sector with a precision of three loops at order$O(\alpha_t\alpha_s^2)$. The renormalization procedure adopted is based on thedimensional reduction scheme in order to preserve supersymmetry to allperturbative orders. The calculation extends the region of validity of previousstudies to the whole supersymmetric parameter space. The involved masterintegrals have been computed by exploiting new proposed approaches based on thedispersion relation techniques for the numerical calculation of three-loopvacuum integrals with arbitrary mass scales.

The Lightest Higgs Boson Mass of the MSSM at Three-Loop Accuracy