Higgs-Boson Pole Masses in the MSSM with Explicit CP Violation

Abstract

Extending previous results obtained in the effective-potential approach, we derive analytic expressions for the pole masses of the charged and neutral Higgs bosons in the minimal supersymmetric standard model (MSSM) with explicit CP violation. In such a minimal supersymmetric model, the CP invariance of the Higgs potential is explicitly broken by quantum effects dominated by third-generation squarks at the one-loop level and by one-loop gluino- and higgsino-mediated threshold corrections to the top- and bottom-quark Yukawa couplings at the two-loop level. Field-theoretic issues arising in the description of a two-level Higgs-boson system strongly mixed due to CP violation are addressed. Numerical results for the pole masses of the CP-violating Higgs bosons are presented, and comparisons are made with previous results obtained in the effective-potential approach.

Figures (6)

• Figure 1: Third-generation quark and squark contributions to the Higgs-boson self-energies.
• Figure 2: Numerical estimates of (a) the $H_{1,2}$- effective-potential and pole masses and (b) $g^2_{H_iZZ}$ as functions of ${\rm arg}\, (A_t)$, in a CPX scenario with $M_{\rm SUSY} = 0.5$ TeV, ${\rm arg}\, (m_{\tilde{g}}) = 0$ and $90^\circ$. In plot (a), the effective-potential mass $M_{H_1}~(M_{H_2})$ is indicated by a solid (dash-dotted) line for ${\rm arg}\, (m_{\tilde{g}}) = 0~(90^\circ )$, and its pole mass $\widehat{M}_{H_1}~(\widehat{M}_{H_2})$ by a dashed (dotted) line for ${\rm arg}\, (m_{\tilde{g}}) = 0~(90^\circ )$.
• Figure 3: The same as in Fig. \ref{['fig:pole1']}, but for a CPX scenario with $M_{\rm SUSY} = 1$ TeV.
• Figure 4: Numerical estimates of the two heaviest $H_2$- and $H_3$-boson masses versus ${\rm arg}\, (A_t)$ for different charged Higgs-boson pole masses in a CPX scenario with $arg ( m_{\tilde{g}} ) = 90^\circ$. Effective-potential masses are indicated by solid lines and pole masses by dashed ones.
• Figure 5: The same as in Fig. \ref{['fig:pole3']}, but for a CPX scenario with $M_{\rm SUSY} = 1$ TeV.