Abstract
This study provides a brief overview of low energy supersymmetry (SUSY) in light of current experimental constraints, such as collider searches, dark matter searches, and muon g−2 measurements. In addition, we survey a variety of low energy supersymmetric models: the phenomenological minimal supersymmetric model (MSSM); the supersymmetric models with cut-off-scale boundary conditions, i.e., the minimal supergravity (mSUGRA) or the constrained MSSM (CMSSM), the gauge mediation of SUSY breaking (GMSB), and the anomaly mediation of SUSY breaking (AMSB), as well as their extensions. The conclusion is that the low energy SUSY can survive all current experimental constraints and remains compelling, albeit suffering from a slight fine-tuning problem. The advanced models such as mSUGRA, GMSB, and AMSB need to be extended if the muon g−2 anomaly comes from new physics.
Highlights
Despite its remarkable phenomenological success, the standard model (SM) in particle physics still has remaining puzzles, such as the origin of the free parameters, the matter–antimatter asymmetry, the instability of the electroweak scale, or the divergent quantum correction of Higgs boson mass, and the nature of cold dark matter
The Large Hadron Collider (LHC) has not found any particles predicted by new physics
Note that in this review we focus on low energy SUSY which helps to solve the naturalness problem in particle physics
Summary
Despite its remarkable phenomenological success, the standard model (SM) in particle physics still has remaining puzzles, such as the origin of the free parameters, the matter–. We are facing two experimental crises: one is the cold dark matter, the other is the muon g − 2 anomaly While the former is quite robust evidence of new physics, the latter should be taken with a grain of salt, e.g., there is a 10%. The LHC has not found any particles predicted by new physics ( it found some plausible anomalies in B-decays) Confronted with these experimental results, what is the status of low energy SUSY, is it healthy or does it need to be hospitalized?. We conclude that the low energy SUSY can survive all these experimental constraints, albeit the advanced models such as mSUGRA, GMSB, and AMSB need to be extended to accommodate the 125 GeV Higgs boson and the muon g − 2 anomaly
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