Renormalization of Higgs-boson-mass sum rules and screening

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Abstract
We compute the renormalization of the Higgs-boson masses of the minimal supersymmetric extension of the standard model as a function of the scale of mass breaking between gauge-Higgs bosons and their supersymmetric gaugino-Higgsino partners. We demonstrate that the basic tree-level sum rules for Higgs-boson masses receive very small corrections even when the scale of the supersymmetry-breaking mass parameters describing the latter sector are very large. We show analytically that the mass sum rules are screened against large effects from large mass splitting between the two sectors.