U(1)' solution to the mu-problem and the proton decay problem in supersymmetry without R-parity

Abstract

The Minimal Supersymmetric Standard Model (MSSM) is plagued by two major fine-tuning problems: the mu-problem and the proton decay problem. We present a simultaneous solution to both problems within the framework of a U(1)'-extended MSSM (UMSSM), without requiring R-parity conservation. We identify several classes of phenomenologically viable models and provide specific examples of U(1)' charge assignments. Our models generically contain either lepton number violating or baryon number violating renormalizable interactions, whose coexistence is nevertheless automatically forbidden by the new U(1)' gauge symmetry. The U(1)' symmetry also prohibits the potentially dangerous and often ignored higher-dimensional proton decay operators such as QQQL and UUDE which are still allowed by R-parity. Thus, under minimal assumptions, we show that once the mu-problem is solved, the proton is sufficiently stable, even in the presence of a minimum set of exotics fields, as required for anomaly cancellation. Our models provide impetus for pursuing the collider phenomenology of R-parity violation within the UMSSM framework.

Version published in Phys. Rev. D

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• The Physics of Heavy Z' Gauge Bosons
• The Next-to-Minimal Supersymmetric Standard Model
• Mass Bounds on a Very Light Neutralino
• Spin Dependence of Dark Matter Scattering
• Searching for Extra Z' from Strings and Other Models at the LHC with Leptoproduction
• Lightest U-parity Particle (LUP) dark matter
• Proton Hexality from an Anomalous Flavor U(1) and Neutrino Masses - Linking to the String Scale
• Six-Lepton Z' Resonance at the Large Hadron Collider
• Stau as the Lightest Supersymmetric Particle in R-Parity Violating SUSY Models: Discovery Potential with Early LHC Data
• Electroweak Phase Transition in the U(1)' MSSM
• All Possible Lightest Supersymmetric Particles in R-Parity Violating Minimal Supergravity Models
• Inducing the mu and the B mu Term by the Radion and the 5d Chern-Simons Term
• Discrete gauge symmetries and proton stability in the U(1)'-extended MSSM
• Stau LSP Phenomenology: Two- versus Four-Body Decay Modes and Resonant Single Slepton Production at the LHC as an Example
• Sneutrino as Lightest Supersymmetric Particle in B3 mSUGRA Models and Signals at the LHC
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• Neutralino and Chargino Production in U(1)' at the LHC
• Search for Gauge Extensions of the MSSM at the LHC
• Discovery Potential of Selectron or Smuon as the Lightest Supersymmetric Particle at the LHC
• Sterile neutrinos in U(1)' with R-parity Violation
• Gauged Baryon and Lepton Number in MSSM_4 Brane Worlds
• Addressing μ-b_μand proton lifetime problems and active neutrino masses in a U(1)^\prime-extended supergravity model
• B and not L in supersymmetry: new U(1) gauge symmetry and dark matter
• Leptophobic $Z^{\prime }$ bosons in the secluded UMSSM
• A little more Gauge Mediation and the light Higgs mass
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• R-parity violating U(1)'-extended supersymmetric standard model
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• Chiral Extensions of the MSSM
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