Higgs boson mass of 125 GeV and $g-2$ of the muon in a gaugino mediation model

Gaugino mediation is very attractive since it is free from the serious flavor problem in the supersymmetric standard model. We show that the observed Higgs boson mass at around 125 GeV and the anomaly of the muon $g-2$ can be easily explained in gaugino mediation models. It should be noted that no dangerous CP violating phases are generated in our framework. Furthermore, there are large parameter regions which can be tested not only at the planned International Linear Collider but also at the coming 13–14 TeV Large Hadron Collider.

Figure 1

The SUSY contribution to the muon $g-2$ and the Higgs boson mass (red solid line) in the small $\mu$ case. In the orange (yellow) region, the muon $g-2$ is explained at 1(2) $\sigma$ level. In the top panels (the bottom panel), $\mu =200\mathrm{GeV}$ (150 GeV) and $\tan \beta =20$ (35). Here, ${\alpha }_S(m_Z)=0.1184$ and $m_t=173.3\mathrm{GeV}$.

Figure 2

The SUSY contribution to the muon $g-2$ and the Higgs boson mass in the large $\mu$ case. The different values of $M_3$, $M_3=1300\mathrm{GeV}$ (top panels) and 3000 GeV (bottom panel) are taken. In the orange (yellow) region, the muon $g-2$ is explained at $1(2)\sigma$ level. In the top-left panel, $m_{H_u}=0$, while in the other panels, $m_{H_d}=0$).