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We improve the determination of the Higgs-boson mass in the MSSM with heavysuperpartners, by computing the two-loop threshold corrections to the quarticHiggs coupling that involve both the strong and the electroweak gaugecouplings. Combined with earlier results, this completes the calculation of thetwo-loop QCD corrections to the quartic coupling at the SUSY scale. We alsocompare different computations of the relation between the quartic coupling andthe pole mass of the Higgs boson at the EW scale. We find that the numericalimpact of the new corrections on the prediction for the Higgs mass is modest,but comparable to the accuracy of the Higgs-mass measurement at the LHC.

Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners