Effective potential methods and the Higgs mass spectrum in the MSSM

Abstract

We generalize the analytical expressions for the two-loop leading-log neutral Higgs boson masses and mixing angles to the case of general left- and right-handed soft supersymmetry breaking stop and sbottom masses and left--right mixing mass parameters ($m_Q,m_U,m_D,A_t,A_b$). This generalization is essential for the computation of Higgs masses and couplings in the presence of light stops. At high scales we use the minimal supersymmetric standard model effective potential, while at low scales we consider the two-Higgs doublet model (renormalization group improved) effective potential, with general matching conditions at the thresholds where the squarks decouple. We define physical (pole) masses for the top-quark, by including QCD self-energies, and for the neutral Higgs bosons, by including the leading one-loop electroweak self-energies where the top/stop and bottom/sbottom sectors propagate. For $m_Q=m_U=m_D$ and moderate left--right mixing mass parameters, for which the mass expansion in terms of renormalizable Higgs quartic couplings is reliable, we find excellent agreement with previously obtained results.

35 pages, Latex, 9 uuencoded figures

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• Neutralino and chargino masses and related sum rules beyond MSSM
• Decoupling property of the supersymmetric Higgs sector with four doublets
• Introduction to Supersymmetry: Astrophysical and Phenomenological Constraints
• The Higgs boson decay $h\to bs$ in the $U(1{)}_X$SSM
• Naturalness-guided Gluino Mass Bound from the Minimal Mixed Mediation of SUSY Breaking
• Shifted focus point of the Higgs mass parameter from the minimal mixed mediation of SUSY breaking
• Higgs Precision Measurements and Flavor Physics: A Supersymmetric Example
• Gauge mediation without gravitino problem by virtue of the QCD anomaly
• Focus points and the Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model
• Low energy consequences from supersymmetric models with left-right symmetry
• Deciphering the MSSM Higgs Mass at Future Hadron Colliders
• Revisiting CMSSM with Non-Universal Gaugino Masses under Current Constraints
• Effects of R-parity Violation on the Charged Higgs Boson Decays
• Lepton-flavor violation and two loop electroweak corrections to $(g-2{)}_{\mu }$ in the triplets
• Higgs and $Z$ Assisted Stop Searches at Hadron Colliders
• gg\to γ\bar{f}f in the strongly interacting phase of the MSSM
• A 125 GeV Fat Higgs at large $\tan \beta$