Particle spectroscopy of supersymmetric SU(5) in light of the 125 GeV Higgs boson and muon $g-2$ data

The discovery of the Higgs boson at the Large Hadron Collider (LHC) has a great impact on the minimal supersymmetric extension of the Standard Model (MSSM). In the context of the constrained MSSM (CMSSM) and its extension with nonuniversal masses for the MSSM Higgs doublets, sparticles with masses $>1\mathrm{TeV}$ are necessary to reproduce the observed Higgs boson mass of 125–126 GeV. On the other hand, there appears to be a significant amount of discrepancy between the measured muon $g-2$ and the Standard Model prediction. A successful explanation of this discrepancy in the MSSM requires new contributions involving relatively light sparticles with masses $<1\mathrm{TeV}$. In this paper, we attempt to accommodate the two conflicting requirements in a SU(5) inspired extension of the CMSSM. We assign nonuniversal but flavor blind soft supersymmetry breaking masses to the scalar components in $\overline{5}$ and 10 matter supermultiplets. The two MSSM Higgs doublets in the 5, $\overline{5}$ representations of SU(5) are also assigned unequal soft ${\mathrm{mass}}^2$ at $M_{\mathrm{GUT}}$. We identify parameter regions which can simultaneously accommodate the observed Higgs boson mass and the muon $g-2$ data, and which are compatible with other phenomenological constraints such as neutralino dark matter relic abundance and rare B-meson decays. Some regions of the allowed parameter space will be explored at the upgraded LHC and by dark matter direct detection experiments.

Figure 1

Plots in the ($\mathrm{\Delta }{a}_{\mu }$, $m_h$) plane. Gray points satisfy the requirements of REWSB and neutralino LSP. Orange points satisfy B-physics bounds and the mass bounds except those for gluinos and squarks. Blue points are a subset of the orange points and represent solutions satisfying the WMAP9 bounds at $5\sigma$ and $m_{\tilde{g}}$, $m_{{\tilde{d}}_R}\ge 1.5\mathrm{TeV}$.

Figure 2

Color coding same as in Fig. 1, with $A_0=-4\mathrm{TeV}$.

Figure 3

Color coding same as in Fig. 1, for $A_0=-5\mathrm{TeV}$.

Figure 4

Color coding same as in Fig. 1, for $A_0=-6\mathrm{TeV}$.

Figure 5

Color coding same as in Fig. 1, for $A_0=0\mathrm{TeV}$.

Figure 6

Color coding same as in Fig. 1, for $A_0=4\mathrm{TeV}$.

Figure 7

Plots in the ($m_{10}$, $m_{\overline{5}}$) plane, ($m_{10}$, $M_{1/2}$) plane, ($m_{\overline{5}}$, $M_{1/2}$) plane and ($m_A$, $\mu$) plane. Gray points satisfy the requirements of REWSB and neutralino LSP. Orange points satisfy B-physics bounds and the mass bounds except those for gluinos and squarks. Blue points are a subset of the orange points and represent solutions satisfying the WMAP9 ($5\sigma$) bounds, $123\le m_h\le 127\mathrm{GeV}$, and $m_{\tilde{g}}$, $m_{{\tilde{d}}_R}\gtrsim 1.5\mathrm{TeV}$. Green points are a subset of the blue points and satisfy the $3\sigma$ bounds on $\mathrm{\Delta }{a}_{\mu }$.

Figure 8

Color coding same as in Fig. 7, with $A_0=-4\mathrm{TeV}$.

Figure 9

Color coding same as in Fig. 7, for $A_0=-5\mathrm{TeV}$.

Figure 10

Color coding same as in Fig. 7, for $A_0=-6\mathrm{TeV}$.

Figure 11

Results for $A_0=-3\mathrm{TeV}$ and $\tan \beta =30$. Color coding same as in Fig. 7.

Figure 12

Color coding same as in Fig. 11, for $A_0=-4\mathrm{TeV}$.

Figure 13

Color coding same as in Fig. 11, for $A_0=-5\mathrm{TeV}$.

Figure 14

Color coding same as in Fig. 11, for $A_0=-6\mathrm{TeV}$.

Figure 15

The SI and SD cross sections of neutralino elastic scattering with nucleons, along with the current and future bounds of direct and indirect dark matter detection experiments. All points satisfy the requirements of REWSB, neutralino LSP, mass bounds, B-physics bounds, the WMAP9 ($5\sigma$) bounds, Higgs boson mass and $\mathrm{\Delta }{a}_{\mu }$ bound. Purple, green, orange and brown points, respectively, represent the results in the bino-Higgsino mixed dark matter region, the sneutrino-neutralino coannihilation region, the A-resonance and the stau-neutralino coannihilation region. In the left panel, the black line represents the current upper bound set by XENON 100, while the blue (red) line represents the future reach of XENON 1T (SuperCDMS). In the right panel, the current upper bounds set by Super-K (blue line) and IceCube DeepCore (red line) are shown. The future IceCube DeepCore bound is depicted by the black line.

Figure 16

Color coding same as in Fig. 15, for $A_0=-4\mathrm{TeV}$ and $\tan \beta =30$.

Figure 17

Color coding same as in Fig. 15, for $A_0=-5\mathrm{TeV}$ and $\tan \beta =50$.

Figure 18

Color coding same as in Fig. 15, for $A_0=-6\mathrm{TeV}$ and $\tan \beta =30$.

Figure 19

Plots in the ($m_{\tilde{g}}$, $m_{{\tilde{d}}_R}$) plane. Gray points satisfy the requirements of REWSB and neutralino LSP. Here orange points satisfy B-physics bounds and the mass bounds except those for gluinos and squarks as mentioned in Sec. 2. Blue points are a subset of the orange points and represent solutions satisfying the WMAP9 ($5\sigma$) bounds, $123\le m_h\le 127\mathrm{GeV}$. Red points are a subset of the blue points and satisfy the $3\sigma$ bounds on $\mathrm{\Delta }{a}_{\mu }$ and current upper bounds set by XENON 100. The horizontal and vertical black lines represent squark and gluino mass bounds of 1.5 TeV.