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We present detailed results of a diagrammatic calculation of the leadingtwo-loop QCD corrections to the masses of the neutral CP-even Higgs bosons inthe Minimal Supersymmetric Standard Model (MSSM). The two-loop corrections areincorporated into the full diagrammatic one-loop result and supplemented withrefinement terms that take into account leading electroweak two-loop andhigher-order QCD contributions. The dependence of the results for theHiggs-boson masses on the various MSSM parameters is analyzed in detail, with aparticular focus on the part of the parameter space accessible at LEP2 and theupgraded Tevatron. For the mass of the lightest Higgs boson, m_h, a parameterscan has been performed, yielding an upper limit on m_h which depends only ontan(beta). The results for the Higgs-boson masses are compared with resultsobtained by renormalization group methods. Good agreement is found in the caseof vanishing mixing in the scalar quark sector, while sizable deviations occurif squark mixing is taken into account.Comment: 45 pages, 25 figure

The masses of the neutral ${\cal CP}$ -even Higgs bosons in the MSSM: Accurate analysis at the two-loop level