U(1) symmetry and R parity violation

Abstract

The patterns of $R$ violation resulting from imposition of a gauged U(1) horizontal symmetry on the minimal supersymmetric standard model are systematically analyzed. We concentrate on class of models with integer U(1) charges chosen to reproduce the quark masses and mixings as well as charged lepton masses exactly or approximately. The U(1) charges are further restricted by the requirement that very large bilinear lepton number violating terms should not be allowed in the superpotential. It is shown that this leads to severely constrained patterns of trilinear interactions. Specifically, only choice compatible with phenomenological restrictions is the one in which all the trilinear ${\lambda }_{ijk}^{\prime }$ and all but at most two trilinear ${\lambda }_{ijk}$ couplings vanish or are enormously suppressed. The U(1) symmetry can allow effective generation of bilinear lepton number violating parameters through terms in the Kahler potential. Resulting models are identified and structure of neutrino masses in some of these is briefly discussed.

20 pages Latex, No figures

References in corpus (5)

• Bounds on R-parity Violating Couplings at the Weak Scale and at the GUT Scale
• Atmospheric and Solar Neutrino Masses from Horizontal U(1) Symmetry
• Hierarchies of R-violating interactions from Family Symmetries
• Gauge mediated supersymmetry breaking and neutrino anomalies
• Non anomalous U(1)_H gauge model of flavor

Cited by in corpus (26)

• The Physics of Heavy Z' Gauge Bosons
• The Muon g-2
• Proton stability in grand unified theories, in strings, and in branes
• Anatomy and Phenomenology of FCNC and CPV Effects in SUSY Theories
• Natural R-Parity, μ-term, and Fermion Mass Hierarchy From Discrete Gauge Symmetries
• Supersymmetric Froggatt-Nielsen Models with Baryon- and Lepton-Number Violation
• Anomalous Flavor U(1)_X for Everything
• The Seesaw Mechanism in Quark-Lepton Complementarity
• Update on Fermion Mass Models with an Anomalous Horizontal U(1) Symmetry
• Anomalous U(1) symmetry and lepton flavor violation
• The tension between gauge coupling unification, the Higgs boson mass, and a gauge-breaking origin of the supersymmetric mu-term
• Electric dipole moments from flavoured CP violation in SUSY
• Small Dirac Neutrino Masses and R-parity from Anomalous U(1) Symmetry
• Discrete gauge symmetries and proton stability in the U(1)'-extended MSSM
• Neutrino Anomalies in Gauge Mediated Model with Trilinear R violation
• Decaying neutralino dark matter in anomalous $U(1{)}_H$ models
• R-Parity Violation and Non-Abelian Discrete Family Symmetry
• Fermion Mass Hierarchy and Electric Dipole Moments
• Natural, R-parity violating supersymmetry and horizontal flavor symmetries
• Baryonic violation of R-parity from anomalous $U(1{)}_H$
• Quark Loop Contributions to Neutron, Deuteron, and Mercury EDMs from Supersymmetry without R parity
• Implications of Higgs to diphoton decay rate in the bilinear R-parity violating supersymmetric model
• Warped Alternatives to Froggatt-Nielsen Models
• Holomorphic selection rules, the origin of the mu term, and thermal inflation
• Green-Schwarz Anomaly Cancellation, World Sheet Instantons and Wormholes
• Quark Loop Contribution to Neutron EDM from R-parity Violation