2007/09/30 by Hye-Sung Lee, Hye‐Sung Lee, K. Matchev +2 · 3 citations
Physics and Astronomy · #Baryon #Baryon number #Black Holes and Theoretical Physics #Lepton #Lepton number #Minimal Supersymmetric Standard Model #Nuclear physics #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Proton #Proton decay #Quantum Chromodynamics and Particle Interactions #R-parity #Supersymmetry #hep-ph
paper · pdf · doi:10.1103/physrevd.77.015016
published as Phys.Rev.D77:015016,2008 · Version published in Phys. Rev. D
openalex publication_date 2008/01/24 · arxiv created 2008/02/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The minimal supersymmetric standard model (MSSM) is plagued by two major fine-tuning problems: the \ensuremathμ-problem and the proton decay problem. We present a simultaneous solution to both problems within the framework of a U(1)^\ensuremath'-extended MSSM (UMSSM), without requiring R-parity conservation. We identify several classes of phenomenologically viable models and provide specific examples of U(1)^\ensuremath' 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)^\ensuremath' gauge symmetry. The U(1)^\ensuremath' symmetry also prohibits the potentially dangerous and often ignored higher-dimensional proton decay operators such as QQQL and UcUcDcEc which are still allowed by R-parity. Thus, under minimal assumptions, we show that once the \ensuremathμ-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.