QCD Corrections to the Masses of the neutral CP-even Higgs Bosons in the MSSM

Abstract

We perform a diagrammatic calculation of the leading two-loop QCD corrections to the masses of the neutral CP-even Higgs bosons in the Minimal Supersymmetric Standard Model (MSSM). The results are valid for arbitrary values of the parameters of the Higgs and scalar top sector of the MSSM. The two-loop corrections are found to reduce the mass of the lightest Higgs boson considerably compared to its one-loop value. The numerical results are analyzed in the GUT favored regions of small and large \tan β. Their impact on a precise prediction for the mass of the lightest Higgs boson is briefly discussed.

Figures (4)

• Figure 1: Typical Feynman diagrams for the two-loop contribution to the Higgs-boson self-energies and tadpoles. $H = \phi_1, \phi_2, A$.
• Figure 2: One- and two-loop results for $m_h$ as a function of $M_{t}^{LR}/m_{\tilde{q}}$ for two values of $\tan \beta\space$.
• Figure 3: The mass of the lightest Higgs boson for $\tan \beta\space = 1.6$. The tree-, the one- and the two-loop results for $m_h$ are shown as a function of $m_{\tilde{q}}$ for the no-mixing and the maximal-mixing case.
• Figure 4: The mass of the lightest Higgs boson for $\tan \beta\space = 40$. The tree-, the one- and the two-loop results for $m_h$ are shown as a function of $m_{\tilde{q}}$ for the no-mixing and the maximal-mixing case.