A Phenomenological Survey On The Non-minimal Supersymmetric Models

Since LHC discovered a SM-like Higgs boson in 2012,the minimal supersymmetric standard model（MSSM）has faced serious fine-tuning problem.In this paper,from the perspective of theoretical naturalness,we study the phenomenological impacts of current experimental results on several non-minimal supersymmetric theories,including:1.Natural next-to-minimal supersymmetric standard model（NMSSM）.As a nonminimal supersymmetric model with the simplest field composition and the fewest input parameter,Z3-NMSSM is explored under the constraints from the direct searches for sparticle at the LHC and the latest dark matter direct detection experiments on the scenario with low fine tuning indicator Δz/h≤50.We find that bino-or Higgsino-dominated dark matter scenario is totally excluded by these experiments,and singlino-dominated dark matter scenario is tightly limited with surviving parameter space featured by λ/|κ|（?）2 and μ（?）460 GeV.Although most of the samples are excluded by the experiments,the fine-tuning indicator ΔZ andΔh of surviving sample can still reach to 5 or less.This indicating that given the tight experimental constraints,NMSSM is still very natural in predicting the Higgs boson mass and Z boson mass.There is a special kind of samples in NMSSM of singlino-dominated dark matter scenario:dark matter co-annihilate with Higgsino in early universe to achieve the observed dark matter relic density,in which the singlino purity of dark matter particle is extremely high |N15|2≥0.99.Due to its compressed mass spectrum,the current LHC experiments have no detect capability for these surviving samples.And due to its gauge singlet nature,its dark matter direct detection rate is far below the detection limit of current Xenon-1T dark matter experiment and the future LZ experiment.2.Type-I seesaw mechanism extended NMSSM（Type-I NMSSM）.In Type-I NMSSM,the right-handed sneutrino can act as a proper dark matter candidate.Comparing with neutralino dark matter candidate,sneutrino dark matter assumption release the constraint of dark matter physics to the parameters of Higgs sector in NMSSM framework.There is no spin-dependent scattering between sneutrino dark matter and nucleus.The spin-independent cross section for dark matter-nucleon scattering is positively related with Yukawa coupling λv.Therefore,when λv is tiny,the scattering rate of dark matter-nucleon can be suppressed far below the current experimental detection limits.3.Inverse seesaw mechanism extended NMSSM（ISS-NMSSM）.In ISS-NMSSM,both the right-handed sneutrino and x-type sneutrino can act as dark matter candidates.The properties of two dark matter candidate are similiar to that in Type-I NMSSM,but has more parameters.The dark matter direct detection rate is proportional to Yukawa coupling Yv and λN.Therefore,when Yv and AN can be neglect,the thoery can easily escape the dark matter direct detection experiments.Generally speaking,λv in Type-I NMSSM and Yv and λN in ISS-NMSSM are requiring to be large enough to get the correct dark matter relic density.However,in these two extended models,sneutrino dark matter can mainly though co-annihilation with Higgsino to achieve enough annihilation rate,so the value of λv,Yv and λN can be extremely tiny.We name this case as“effective natural NMSSM scenario”.In this scenario,the coupling between the newly introduced field and the NMSSM field is very small.Therefore,the collider signal is equivalent to the NMSSM scenario where Higgsino as the lightest supersymmetric particle.Moreover,the NMSSM parameters are free from the dark matter phenomenology.In ISS-NMSSM,the Higgsino-sneutrino（HS）loop induced by Yv can be the new source of the leptonic anomalous magnetic moment.First,we investigate the potential of HS loop in explaining the long standing muon g-2 anomaly,and find that the explanation favor the larger Yv,tan β and the relatively smaller μ.Then we find that both electron and muon g-2 anomalies can be simultaneously explained in ISS-NMSSM without introducing leptonic flavor mixing.HS loop plays an important role in this common explanation.More importantly,the research results confirmed the correctness and the application value of "effective natural NMSSM scenario".