We attribute deviations of the muon and electron magnetic moments from the theoretical predictions to the presence of an additional U(1)′ supersymmetric model. We interpret the discrepancies between the muon and electron anomalous magnetic moments to be due to the presence of non-universal U(1)′ charges. In a minimally extended model, we show that requiring both deviations to be satisfied imposes constraints on the spectrum of the model, in particular on dark matter candidates and slepton masses and ordering. Choosing three benchmarks with distinct dark matter features, we study implications of the model at colliders, concentrating on variables that can distinguish our non-universal scenario from other U(1)′ implementations.

We consider the low scale implications in the ${\mathrm{U}(1)}^{\prime }$ extended minimal supersymmetric Standard Model (UMSSM). We restrict the parameter space such that the lightest supersymmetric particle (LSP) is always the lightest neutralino. In addition, we impose quasi-Yukawa unification (QYU) at the grand unification scale ($M_{\mathrm{GUT}}$). QYU strictly requires the ratios among the Yukawa couplings as $y_t/y_b\sim 1.2$, $y_{\tau }/y_b\sim 1.4$, and $y_t/y_{\tau }\sim 0.8$. We find that the need for fine-tuning over the fundamental parameter space of QYU is in the acceptable range (${\mathrm{\Delta }}_{\mathrm{EW}}\le 10^3$), even if the universal boundary conditions are imposed at $M_{\mathrm{GUT}}$, in contrast to CMSSM and nonuniversal Higgs masses. The UMSSM with universal boundary conditions yields heavy stops ($m_{\tilde{t}}\gtrsim 2.5\mathrm{TeV}$), gluinos ($m_{\tilde{g}}\gtrsim 2\mathrm{TeV}$), and squarks from the first two families ($m_{\tilde{q}}\gtrsim 4\mathrm{TeV}$). Similarly, the stau mass is bounded from below at about 1.5 TeV. Despite this heavy spectrum, we find ${\mathrm{\Delta }}_{\mathrm{EW}}\gtrsim 300$, which is much lower than that needed for the minimal supersymmetric models. In addition, the UMSSM yields a relatively small $\mu$ term, and the LSP neutralino is mostly formed by the Higgsinos of mass $\gtrsim 700\mathrm{GeV}$. We also obtain bino-like dark matter of mass about 400 GeV. The wino is usually found to be heavier than Higgsinos and binos, but there is a small region where $\mu \sim M_1\sim M_2\sim 1\mathrm{TeV}$. We also identify a chargino-neutralino coannihilation channel and $A$-resonance solutions which reduce the relic abundance of LSP neutralinos down to the ranges compatible with the current WMAP and Planck measurements.

We test E ₆ realisations of a generic U(1)′ extended Minimal Supersymmetric Standard Model (UMSSM), parametrised in terms of the mixing angle pertaining to the new U(1)′ sector, $$ {\theta}_{E_6} $$ θ E 6 , against all currently available data, from space to ground experiments, from low to high energies. We find that experimental constraints are very restrictive and indicate that large gauge kinetic mixing and $$ {\theta}_{E_6} $$ θ E 6 ≈ −π/3 are required within this theoretical construct to achieve compliance with current data. The consequences are twofold. On the one hand, large gauge kinetic mixing implies that the Z′ boson emerging from the breaking of the additional U(1)′ symmetry is rather wide since it decays mainly into WW pairs. On the other hand, the preferred $$ {\theta}_{E_6} $$ θ E 6 value calls for a rather specific E ₆ breaking pattern different from those commonly studied. We finally delineate potential signatures of the emerging UMSSM scenario in both Large Hadron Collider (LHC) and in Dark Matter (DM) experiments.

We perform a comprehensive analysis of the secluded supersymmetric ${U(1)}^{\prime }$ model, consistent with present experimental constraints. We find that, in this model, the additional $Z^{\prime }$ gauge boson can be leptophobic without resorting to gauge kinetic mixing and consequently, also $d$-quark-phobic, thus lowering the LHC bounds on its mass. The model can accommodate very light singlinos as DM candidates, consistent with present day cosmological and collider constraints. Light charginos and neutralinos are responsible for muon anomalous magnetic predictions within $1\sigma$ of the measured experimental value. Finally, we look at the possibility that a lighter $Z^{\prime }$, expected to decay mainly into chargino pairs and followed by the decay into lepton pairs, could be observed at 27 TeV.

We conduct a numerical study over the constrained MSSM (CMSSM), next-to-MSSM (NMSSM) and $U(1)$ extended MSSM (UMSSM) to probe the allowed mass ranges of the charged Higgs boson and its dominant decay patterns, which might come into prominence in the near future collider experiments. We present results obtained from a limited scan for CMSSM as a basis and compare its predictions with the extended models. We observe within our data that a wide mass range is allowed as $0.5(1)\lesssim m_{H^{\pm }}\lesssim 17\mathrm{TeV}$ in UMSSM (NMSSM). We find that the dominant decay channel is mostly $H^{\pm }\to tb$ such that $\mathrm{BR}(H^{\pm }\to tb)\sim 80\%$. While this mode remains dominant over the whole allowed parameter space of CMSSM, we realize some special domains in the NMSSM and UMSSM, in which $\mathrm{BR}(H^{\pm }\to tb)\lesssim 10\%$. In this context, the decay patterns of the charged Higgs can play a significant role to distinguish among the SUSY models. In addition to the $tb$ decay mode, we find that the narrow mass scale in CMSSM allows only the decay modes for the charged Higgs boson to $\tau \nu$ ($\sim 16\%$), and their supersymmetric partners $\tilde{\tau }\tilde{\nu }$ ($\sim 13\%$). On the other hand, it is possible to realize the mode in NMSSM and UMSSM in which the charged Higgs boson decays into a chargino and neutralino pair up to about 25%. This decay mode requires nonuniversal boundary conditions within the MSSM framework to be available, since CMSSM yields $\mathrm{BR}(H^{\pm }\to {\tilde{\chi }}_1^0{\tilde{\chi }}_1^{\pm })\lesssim 1\%$. It can also be probed in the near future collider experiments through the missing energy and $CP$-violation measurements. Moreover, the chargino mass is realized as $m_{{\tilde{\chi }}_1^{\pm }}\gtrsim 1\mathrm{TeV}$ in NMSSM and UMSSM, and these solutions will be likely tested soon in collider experiments through the chargino-neutralino production. Focusing on the chargino-neutralino decay patterns, we also present tables which list the possible ranges for the charged Higgs production and decay modes.