The Minimal Supersymmetric Standard Model (MSSM)

Abstract

The structure of the MSSM is reviewed. We first motivate the particle content of the theory by examining the quantum numbers of the known standard model particles and by the requirement of anomaly cancellation. Once the particle content is fixed we can write down the most general renormalizable superpotential. However such a superpotential will contain terms breaking lepton and baryon number which leads us to the concept of R-parity conservation. The question of supersymmetry breaking is discussed next. We list the possible soft breaking terms. However the Lagrangian involving the most general soft breaking terms is phenomenologically intractable because of the appearance of the many new parameters. It also leads to some unacceptable predictions. To reduce the number of parameters we restrict ourself to the case with universal soft breaking terms at the GUT scale. We motivate the need for universal soft breaking terms by the apparent unification of gauge couplings in the MSSM and by the absence of flavor changing neutral currents. Then we discuss radiative electroweak symmetry breaking. Radiative breaking arises because the one loop corrections involving the large top Yukawa coupling change the sign of the soft breaking mass parameter of the up-type Higgs doublet, this way introducing a nontrivial minimum in the Higgs potential. Finally we give an overview of the possible mixings in the MSSM and enumerate the physical (mass eigenstate) fields together with the mass matrices.

Brief review, 15 pages, LaTeX, 2 embedded figures

Cited by in corpus (32)

• Dai-Freed anomalies in particle physics
• Fitting the Phenomenological MSSM
• Interpreting LHC SUSY searches in the phenomenological MSSM
• Search for long-lived particles produced in $pp$ collisions at $\sqrt{s}=13$ TeV that decay into displaced hadronic jets in the ATLAS muon spectrometer
• Search for the direct production of charginos and neutralinos in $\sqrt{s}$ = 13 TeV $pp$ collisions with the ATLAS detector
• Search for new neutral Higgs bosons through the H $\to$ ZA $\to$ ${\ell }^{+}{\ell }^{-}\mathrm{b}\bar{\mathrm{b}}$ process in pp collisions at $\sqrt{s}=$ 13 TeV
• Spectra in Standard-like Z_3 Orbifold Models
• Self-interactions of the lightest MSSM Higgs boson in the large pseudoscalar-mass limit
• Charmless $B\to PV,VV$ decays and new physics effects in the mSUGRA model
• A Pedagogical Review of Electroweak Symmetry Breaking Scenarios
• Threshold effects and radiative electroweak symmetry breaking in $SU(5)$ extensions of the MSSM
• Discriminating 4D supersymmetry from its 5D warped version
• Twenty-five Questions for String Theorists
• Charmless $B\to PP$ decays and the new physics effects in the minimal supergravity model
• Compact objects in and beyond the Standard Model from non-perturbative vacuum scalarization
• Analysis of the Bounds on Dark Matter Models from Monojet Searches at the LHC
• Search for heavy neutral CP-even Higgs within Type-IV 2HDM at a future linear collider
• Constraints on Two Higgs Doublet Model Parameters in the light of rare $B$-Decays
• Three-body gravitino decays in the MSSM
• Non-zero ${\theta }_{13}$, CP-violation and Neutrinoless Double Beta Decay for Neutrino Mixing in the $A_4\times Z_2\times Z_3$ Flavor Symmetry Model
• Supersymmetry then and now
• Limiting SUSY compressed spectra scenarios
• Implication of the Fourth Generation Standard Model to the Lepton Polarization asymmetries in the $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ Decay
• Analysis of Forward-Backward and Lepton Polarization Asymmetries in $B\to K_1{\ell }^{+}{\ell }^{-}$ Decays in the Two-Higgs-doublet Model
• Supersymmetry and Superstring Phenomenology
• Polarized and Unpolarized Lepton Pair Forward-backward Asymmetries in $\overline{B}\to {\overline{K}}_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ and $\overline{B}\to \overline{K}{\ell }^{+}{\ell }^{-}$ Decays in Two Higgs Doublet Model
• Investigating Boson Sector in an Extended Standard Model with $U(1{)}_D$ Symmetry
• Decay $\varphi \to Z\gamma \gamma$ ($\varphi =h,H,A$) in the minimal supersymmetric standard model
• Explaining Fermions Mass and Mixing Hierarchies through $U(1{)}_X$ and $Z_2$ Symmetries
• Scherk-Schwarz orbifolds at the LHC
• Search for Higgs boson decays into a $Z$ boson and a light hadronically decaying resonance in $pp$ collisions at $\sqrt{s}$=13 TeV with the ATLAS detector
• Lepton Flavor Violation of Z Gauge Boson Decays in Supersymmetric Type-III Seesaw Model