The minimal U(1)' extension of the MSSM

Abstract

Motivated by the apparent need for extending the MSSM and perhaps mitigating naturalness problems associated with the $\mu$ parameter and fine-tuning of the soft masses, we augment the MSSM spectrum by a SM gauge singlet chiral superfield, and enlarge the gauge structure by an additional U(1)' invariance, so that the gauge and Higgs sectors are relatively secluded. One crucial aspect of U(1)' models is the existence of anomalies, cancellation of which may require the inclusion of exotic matter which in turn disrupts the unification of the gauge couplings. In this work we pursue the question of canceling the anomalies with a minimal matter spectrum and no exotics. This can indeed be realized provided that U(1)' charges are family-dependent and the soft-breaking sector includes non-holomorphic operators for generating the fermion masses. We provide the most general solutions for U(1)' charges by taking into account all constraints from gauge invariance and anomaly cancellation. We analyze various laboratory and astrophysical bounds ranging from fermion masses to relic density, for an illustrative set of parameters. The U(1)' charges admit patterns of values for which family nonuniversality resides solely in the lepton sector, though this does not generate leptonic FCNCs due to the U(1)' gauge invariance.

28 pages, no figures. References added

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• The Physics of Heavy Z' Gauge Bosons
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• Family non-universal Z' models with protected flavor-changing interactions
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• Extra-weakly Interacting Dark Matter
• Physics searches at the LHC
• Benchmark scenarios for the NMSSM
• Minimal Anomalous U(1)' Extension of the MSSM
• Anomaly-Free Sets of Fermions
• Phenomenological consequences of radiative flavor violation in the MSSM
• Yukawa coupling and anomalous magnetic moment of the muon: an update for the LHC era
• Gauge Trimming of Neutrino Masses
• Nonuniversal $Z^{\prime }$ couplings in B decays
• Dark Matter in a Constrained NMSSM
• U(1)' solution to the mu-problem and the proton decay problem in supersymmetry without R-parity
• A minimal $U(1{)}^{\prime }$ extension of MSSM in light of the B decay anomaly
• Atomki Anomaly in Family-Dependent $U(1{)}^{\prime }$ Extension of the Standard Model
• Dirac Neutrino Masses from Generalized Supersymmetry Breaking
• Proton Hexality from an Anomalous Flavor U(1) and Neutrino Masses - Linking to the String Scale
• Sneutrino Dark Matter: Symmetry Protection and Cosmic Ray Anomalies
• On the MSSM Higgsino mass and fine tuning
• New Physics Suggested by Atomki Anomaly
• The tension between gauge coupling unification, the Higgs boson mass, and a gauge-breaking origin of the supersymmetric mu-term
• Precision measurements, dark matter direct detection and LHC Higgs searches in a constrained NMSSM
• Two-portal Dark Matter
• Electron and muon magnetic moments and implications for dark matter and model characterisation in non-universal $U(1{)}^{\prime }$ supersymmetric models
• U-boson and the HyperCP exotic events
• Anomaly Mediation, Fayet-Iliopoulos D-terms and precision sparticle spectra
• Electroweak phase transitions in the secluded U(1)-prime-extended MSSM
• Generalized Soft Breaking Leverage for the MSSM
• Loopholes in $Z^{\prime }$ searches at the LHC: exploring supersymmetric and leptophobic scenarios
• Some phenomenological aspects of a new $U(1{)}^{\prime }$ model
• Renormalization Group Invariants in the MSSM and Its Extensions
• Geometric Proca with Matter in Metric-Palatini Gravity
• LEP Indications for Two Light Higgs Bosons and U(1)' Model
• Quasi Yukawa Unification and Fine-Tuning in U(1) Extended SSM
• CP violation in the secluded U(1)'-extended MSSM
• Higgs Bosons in supersymmetric U(1)' models with CP Violation
• Two-loop beta-functions and their effects for the R-parity Violating MSSM
• Search for Gauge Extensions of the MSSM at the LHC
• Investigation of $B_{u,d}\to (\pi ,K)\pi$ decays within unparticle physics
• $E_6$ Motivated UMSSM Confronts Experimental Data
• Differentiating $U(1{)}^{\prime }$ supersymmetric models with right sneutrino and neutralino dark matter
• Light Neutralino Dark Matter in $U(1{)}^{\prime }$ models
• Sterile neutrinos in U(1)' with R-parity Violation
• Charged Higgs in MSSM and Beyond
• Dark matter and Collider signals in supersymmetric $U(1{)}^{\prime }$ models with non-universal $Z^{\prime }$ couplings
• Dilepton Signatures of Family Non-Universal U(1)'
• Dark matter in Inert Doublet Model with one scalar singlet and $U(1{)}_X$ gauge symmetry
• Low Fine-Tuning with Heavy Higgsinos in Yukawa Unified SUSY GUTs
• Minimal non-universal EW extensions of the Standard Model: a chiral multi-parameter solution
• Tevatron Higgs Mass Bounds: Projecting U(1)' Models to LHC Domain
• Model Characterization and Dark Matter in the Secluded $U(1{)}^{\prime }$ Model
• U(1)' coupling constant at low energies from heterotic orbifolds
• Electric Dipole Moments in U(1)' Models
• Chiral Extensions of the MSSM
• Heavy $Z^{\prime }$ Bosons in the Secluded $U(1{)}^{\prime }$ Model at Hadron Colliders
• Astrophysical aspects of milli-charged dark matter in a Higgs-Stueckelberg model
• Family Non-Universal U(1)${}^{\prime }$ Model with Minimal Number of Exotics
• Searching singlet extensions of the supersymmetric standard model in $Z_{6-II}$ orbifold compactification of heterotic string
• Two-loop Anomalous Dimensions for Four-Fermi Operators in Supersymmetric Theories
• A $\nu$ Supersymmetric Anomaly-free Atlas