Bilinear R-parity Violation and Small Neutrino Masses: a Self-consistent Framework

Abstract

We study extensions of supersymmetric models without R-parity which include an anomalous U(1)_H horizontal symmetry. Bilinear R-parity violating terms induce a neutrino mass at tree level of approximately $({\theta }^2{)}^{\delta }$ eV where $\theta \approx 0.22$ is the U(1)_H breaking parameter and $\delta$ is an integer number that depends on the horizontal charges of the leptons. For $\delta =1$ a unique self-consistent model arises in which i) all the superpotential trilinear R-parity violating couplings are forbidden by holomorphy; ii) the tree level neutrino mass falls in the range suggested by the atmospheric neutrino problem; iii) radiative contributions to neutrino masses are strongly suppressed resulting in a squared solar mass difference of few 10^{-8} eV^2 which only allows for the LOW (or quasi-vacuum) solution to the solar neutrino problem; iv) the neutrino mixing angles are not suppressed by powers of $\theta$ and can naturally be large.

Latex, 15 pages including 1 figure, some typos corrected

References in corpus (27)

• Evidence for oscillation of atmospheric neutrinos
• Limits on Neutrino Oscillations from the CHOOZ Experiment
• Model-Independent Analysis of Soft Terms in Effective Supergravity and in String Theory
• Supersymmetric Grand Unified Theories: Two Loop Evolution of Gauge and Yukawa Couplings
• Mass Matrix Models: The Sequel
• Mass Matrix Models
• Updated Estimate of Running Quark Masses
• Search for Neutrino Oscillations at the Palo Verde Nuclear Reactors
• Yukawa Textures and Anomalies
• Neutrino Masses and Mixing Angles in SUSY-GUT Theories with explicit R-Parity Breaking
• Supersymmetry without R-Parity and without Lepton Number
• Yukawa matrices from a spontaneously broken abelian symmetry
• Yukawa textures with an anomalous horizontal abelian symmetry
• Tau Signals of R-parity breaking at LEP 200
• Status of the MSW Solutions to the Solar Neutrino Problem
• Gauge Unification, Yukawa Hierarchy and the $\mu$ Problem
• A Supersymmetric Solution to the Solar and Atmospheric Neutrino Problems
• Renormalization Group Induced Neutrino Mass in Supersymmetry without R-parity
• Computing the Weak Mixing Angle from Anomaly Cancellation
• Neutrino Masses and Mixing in Supersymmetric Models without $R$ Parity
• Updated Global Analysis of the Atmospheric Neutrino Data in terms of neutrino oscillations
• The Inclusive $\bar{B}\to \tau \bar{\nu }X$ Decay in Two Higgs Doublet Models
• Atmospheric and Solar Neutrino Masses from Horizontal U(1) Symmetry
• Quark and Lepton Mass Matrices from Horizontal U(1) Symmetry
• Supersymmetry Hierarchy Problems and Anomalous Horizontal U(1) Symmetry
• Quark flavour conserving violations of the lepton number
• Non anomalous U(1)_H gauge model of flavor

Cited by in corpus (47)

• R-parity violating supersymmetry
• Proton stability in grand unified theories, in strings, and in branes
• Phenomenological constraints on broken R parity symmetry in supersymmetry models
• Two-loop Neutrino Mass Generation and its Experimental Consequences
• Solar Neutrino Masses and Mixing from Bilinear R-Parity Broken Supersymmetry: Analytical versus Numerical Results
• Testing neutrino mixing at future collider experiments
• Supersymmetric Origin of Neutrino Mass
• Basis independent neutrino masses in the $R_p$ violating MSSM
• Neutrino masses in R-parity violating supersymmetric models
• Supersymmetric Froggatt-Nielsen Models with Baryon- and Lepton-Number Violation
• Anomalous Flavor U(1)_X for Everything
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• Baryon Triality and Neutrino Masses from an Anomalous Flavor U(1)
• Neutrino masses and mixings in the MSSM with soft bilinear $R_p$ violation
• Leptonic Charged Higgs Decays in the Zee Model
• Basis-independent analysis of the sneutrino sector in R-parity violating supersymmetry
• Broken R-parity, stop decays, and neutrino physics
• Obtaining the large angle MSW solution to the solar neutrino problem in models
• The tension between gauge coupling unification, the Higgs boson mass, and a gauge-breaking origin of the supersymmetric mu-term
• Probing neutrino mass with displaced vertices at the Tevatron
• Anomaly Mediated Supersymmetry Breaking without R-Parity
• Bounds on R-parity Violating Couplings at the Grand Unification Scale from Neutrino Masses
• Neutrino masses and mixings in the baryon triality constrained minimal supersymmetric standard model
• Reconstructing Neutrino Properties from Collider Experiments in a Higgs Triplet Neutrino Mass Model
• Decaying neutralino dark matter in anomalous $U(1{)}_H$ models
• Minimal archi-texture for neutrino mass matrices
• Novel Higgs decay signals in R-parity violating models
• Neutrinoless Double Beta Decay via Light Neutralinos in R-Parity Violating Supersymmetry
• Probing neutrino mass with multilepton production at the Tevatron in the simplest R-parity violation model
• Baryonic violation of R-parity from anomalous $U(1{)}_H$
• Study of a Neutrino Mass Texture Generated in Supergravity with Bilinear R-Parity Violation
• Fermion mass hierarchy and non-hierarchical mass ratios in SU(5) x U(1)_F
• Bilinear R-parity violation with flavor symmetry
• The origin of quark and lepton mixings
• Neutrino Physics from Charged Higgs and Slepton Associated Production in AMSB
• New Higgs signals from vector boson fusion in R-parity violating supersymmetry
• Asymmetry and Minimality of Quark Mass Matrices
• Neutrino mass due to the mixing among neutrinos and gauginos
• Effective R-parity violation from supersymmetry breaking
• Gauge Origin of Baryon Number Conservation and Suppressed Neutrino Masses From Five Dimensions
• Neutrinos in Anomaly Mediated Supersymmetry Breaking with R-Parity Violation
• On Neutrino Masses in the MSSM with BRpV
• Holomorphic selection rules, the origin of the mu term, and thermal inflation
• R-Parity Violating Supersymmetry and the 125 GeV Higgs signals
• LSP sneutrino decays into heavy standard model pairs
• Neutrino Masses, Baryogenesis and Bilinear R-parity Violation
• Standard and non-standard neutrino properties