Gauge mediation models with adjoint messengers

We present a class of models in the framework of gauge mediation supersymmetry breaking where the messenger fields transform in the adjoint representation of the standard model gauge symmetry. To avoid unacceptably light right-handed sleptons in the spectrum we introduce a nonzero $U(1{)}_{B-L}$ D-term. This leads to an additional contribution to the soft supersymmetry breaking mass terms which makes the right-handed slepton masses compatible with the current experimental bounds. We show that in this framework the observed 125 GeV Higgs boson mass can be accommodated with the sleptons accessible at the LHC, while the squarks and gluinos lie in the multi-TeV range. We also discuss the issue of the fine-tuning and show that the desired relic dark matter abundance can also be accommodated.

Figure 1

Plots in the $M_{\text{Mess}}-{\mathrm{\Lambda }}_3$, $M_{\text{Mess}}-{\mathrm{\Lambda }}_8$, $M_{\text{Mess}}-\tan \beta$, ${\mathrm{\Lambda }}_8-{\mathrm{\Lambda }}_3$, ${\mathrm{\Lambda }}_8/{\mathrm{\Lambda }}_3-D$, and $\mu -D$ planes. All points are consistent with REWSB. Green points are consistent with the experimental constraints in Table 2.

Figure 2

Plots in the $m_{{\tilde{\tau }}_2}-m_{{\tilde{\tau }}_1}$, $m_A-\tan \beta$, $m_{{\tilde{\mu }}_R}-m_{{\tilde{\chi }}_1^0}$ and $m_{{\tilde{\mu }}_L}-m_{{\tilde{\chi }}_1^0}$ planes. The color coding is the same as in Fig. 1.

Figure 3

Plots in the $M_{\text{Mess}}-{\mathrm{\Delta }}_{\mathrm{EW}}$ and ${\mathrm{\Lambda }}_8/{\mathrm{\Lambda }}_3-{\mathrm{\Delta }}_{\mathrm{EW}}$ planes. The color coding is the same as in Fig. 1.

Figure 4

Gravitino and neutralino masses in the $m_{\tilde{G}}-m_{{\tilde{\chi }}_1^0}$ plane. The color coding is the same as in Fig. 1. The solid line indicates regions where $m_{\tilde{G}}=m_{{\tilde{\chi }}_1^0}$.