In the MSSM with heavy SUSY particles and complex phases, the lightest Higgs mass can vary by up to about 20 GeV with the phase of the trilinear couplings, while its CP-odd admixture drops below 0.5% once the charged Higgs mass exceeds about 260 GeV.
The Mass of the Lightest Supersymmetric Higgs Boson beyond the Leading Logarithm Approximation
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abstract
We examine the radiative corrections to the mass of the lightest Higgs boson in the minimal supersymmetric extension of the standard model. We use the renormalization-group improved effective potential which includes the next-to-leading-order contributions. We find that, contrary to the result of Espinosa and Quir\'os, the higher-order corrections to the lightest Higgs boson mass are non-negligible, adding $3-11$ GeV ($3-9$ GeV) to the result in the leading logarithm approximation for the range of top quark mass $100 {\rm GeV} < m_t < 200 {\rm GeV}$ and for the supersymmetric breaking scale $M_{\rm SUSY} = 1 {\rm TeV}$ ($M_{\rm SUSY} = 10 {\rm TeV}$). Also we find that our result is stable under the change of the renormalization parameter $t$.
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Higgs-Boson Masses and Mixings in the MSSM with CP Violation and Heavy SUSY Particles
In the MSSM with heavy SUSY particles and complex phases, the lightest Higgs mass can vary by up to about 20 GeV with the phase of the trilinear couplings, while its CP-odd admixture drops below 0.5% once the charged Higgs mass exceeds about 260 GeV.