Symmetry Principles toward Solutions of $\mu$ Problem

Abstract

We stress that a natural solution of the $\mu$ problem requires two ingredients: a symmetry that would enforce $\mu =0$ as well as the occurence of a small breaking parameter that generates a nonzero $\mu$. It is suggested that both the Peccei-Quinn symmetry and the spontaneously broken $R$ symmetry may be the sources of the needed $\mu$ term in the minimal supersymmetric standard model provided that they are spontaneously broken at a scale $10^{10}-10^{12}$ GeV. To solve the strong CP problem with a hidden sector confining group, both of these symmetries are needed in superstring models with an anomalous $U(1{)}_A$.

Latex file, 13 pages

Cited by in corpus (50)

• What is the Discrete Gauge Symmetry of the MSSM?
• Supersymmetric Neutrino Masses, R Symmetries, and The Generalized mu Problem
• Spread Supersymmetry
• Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
• Spread Supersymmetry with Wino LSP: Gluino and Dark Matter Signals
• Models of Light Singlet Fermion and Neutrino Phenomenology
• Dimensionless supersymmetry breaking couplings, flat directions, and the origin of intermediate mass scales
• Anomaly-Free Gauged R-Symmetry in Local Supersymmetry
• Anomalous Flavor U(1)_X for Everything
• Supersymmetric Froggatt-Nielsen Models with Baryon- and Lepton-Number Violation
• Revisiting the SUSY mu problem and its solutions in the LHC era
• A low-energy solution to the mu-problem in gauge mediation
• Baryon Triality and Neutrino Masses from an Anomalous Flavor U(1)
• Quasi Goldstone Fermion As a Sterile Neutrino
• Fermion Masses and Neutrino Oscillations in SO(10) SUSY GUT with D_3 x U(1) Family Symmetry
• Probing the Planck Scale with Proton Decay
• String compactification, QCD axion and axion-photon-photon coupling
• R Symmetry and the Mu Problem
• Trinification with sin^2θ_W^0=3/8 and seesaw neutrino mass
• Proton Hexality from an Anomalous Flavor U(1) and Neutrino Masses - Linking to the String Scale
• Neutron Majorana mass from exotic instantons
• Collider signals from slow decays in supersymmetric models with an intermediate-scale solution to the mu problem
• What is the discrete gauge symmetry of the R-parity violating MSSM?
• Discrete R Symmetries and Low Energy Supersymmetry
• Study of theory and phenomenology of some classes of family symmetry and unification models
• Selection Rules for Nonrenormalizable Couplings in Superstring Theories
• Moduli stabilization and SUSY breaking in heterotic orbifold string models
• Small Dirac neutrino masses in supersymmetric grand unified theories
• Gauge Coupling Unification and Phenomenology of Selected Orbifold 5D N=1 SUSY Models
• Dirac neutrinos and anomaly-free discrete gauge symmetries
• CP and Flavour in Effective Type I String Models
• Supersymmetry: From the Fermi Scale to the Planck Scale
• The $\mu$ problem, and B and L Conservation with a Discrete Gauge R Symmetry
• Relaxation of the Dynamical Gluino Phase and Unambiguous Electric Dipole Moments
• The Missing Doublet Model Revamped
• Dynamical relaxation of the CP phases in next-to-minimal supersymmetry
• SO(10) unified models and soft leptogenesis
• Dynamical solution to the $\mu$ problem at TeV scale
• Natural mu-term generation in supergravity scenario
• Dynamical Solution to Supersymmetric CP Problem with Vanishing B Parameter
• R-Parity Violation: Origin of $\mu$-Term and Other Consequences
• A natural solution of $\mu$ from the hidden sector
• Froggatt-Nielsen models with a residual Z_4^R symmetry
• Gauged R-symmetry, Fermion and Higgs Mass Problem
• U(1)_R-mediated supersymmetry breaking from a six-dimensional flux compactification
• Higgsino mass matrix ansatz for MSSM
• The $\mu$ and soft masses from the intermediate scale brane with non-factorizable geometry
• Dynamical $\mu$ and MSSM
• Holomorphic selection rules, the origin of the mu term, and thermal inflation
• Two-loop Anomalous Dimensions for Four-Fermi Operators in Supersymmetric Theories