Probing the MSSM explanation of the muon g-2 anomaly in dark matter experiments and at a 100 TeV $pp$ collider

We explore the ability of current and future dark matter and collider experiments in probing the anomalous magnetic moment of the muon, $(g-2{)}_{\mu }$, within the minimal supersymmetric standard model (MSSM). We find that the latest PandaX-II/LUX-2016 data give a strong constraint on parameter space that accommodates the $(g-2{)}_{\mu }$ within the $2\sigma$ range, which will be further excluded by the upcoming XENON-1T (2017) experiment. We also find that a 100 TeV $pp$ collider can cover most of our surviving samples that satisfy dark matter (DM) relic density within the $3\sigma$ range through the $Z$ or $h$ resonant effect by searching for trilepton events from ${\tilde{\chi }}_2^0{\tilde{\chi }}_1^{+}$ associated production. The samples that are beyond future sensitivity of the trilepton search at a 100 TeV $pp$ collider and the DM direct detections are either Higgsino/winolike lightest supersymmetric partilces (LSPs) or binolike LSPs coannihilating with sleptons. Such compressed regions may be covered by the monojet(like) searches at a 100 TeV $pp$ collider.

Figure 1

One-loop diagram contributions of the MSSM to the muon anomalous magnetic moment, $(g-2{)}_{\mu }$. The first involves a smuon-neutralino (left) and the second a chargino-muon sneutrino loop (right).

Figure 2

Scatter plot on the plane of $\mathrm{\Delta }{a}_{\mu }$ and sparticle masses. Green circles satisfy the constraints from LEP and LHC Higgs data. The dashed lines represent the $2\sigma$ band on $\mathrm{\Delta }{a}_{\mu }$ given by Eq. (1).

Figure 3

The neutralino dark matter relic density $\mathrm{\Omega }{h}^2$ (left) and the spin-independent neutralino-nucleon scattering cross section ${\sigma }^{\mathrm{SI}}$ (right). The dashed line is the PLANCK central value, and the dash-dotted lines are corresponding $3\sigma$ bands. The exclusion limits on the ${\sigma }^{\mathrm{SI}}$ from LUX (2013) (black line) [65], LUX (2016) (magenta line) [66], PandaX-II (red line) [67], and XENON1T (2017) (blue line) [68] are projected. Green circles satisfy the LEP, Higgs data, and $2\sigma$ bound of $(g-2{)}_{\mu }$ (left) and $3\sigma$ upper bound of $\mathrm{\Omega }{h}^2$, while the black squares further require $\mathrm{\Omega }{h}^2$ within the $3\sigma$ range.

Figure 4

Exclusion limits from LHC Run-1 dilepton and trilepton events. All samples satisfy the LEP, Higgs data, $3\sigma$ upper bound of the dark matter relic density, LUX 2016, and $(g-2{)}_{\mu }$ within the $2\sigma$. Red squares ($\mathrm{\Omega }{h}^2<+3\sigma$) and blue diamonds ($-3\sigma <\mathrm{\Omega }{h}^2<+3\sigma$) are excluded by $2\ell +{\cancel{E}}_T$ and $3\ell +{\cancel{E}}_T$ events.

Figure 5

Same as Fig. 4, but for the expected exclusion limit at a 100 TeV $pp$ collider with the luminosity of $3000{\mathrm{fb}}^{-1}$. Red squares ($\mathrm{\Omega }{h}^2<+3\sigma$) and blue diamonds $-3\sigma <\mathrm{\Omega }{h}^2<+3\sigma$ are excluded by searching for $3\ell +\mathrm{MET}$ events. The systematic uncertainty ${\beta }_{\mathrm{sys}}$ is taken as 0.1 and 0, respectively.