2011/04/30 by Jihn E. Kim, Seodong Shin
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Electron #Electroweak interaction #Gauge (firearms) #Gauge boson #Gauge group #Gauge theory #Grand Unified Theory #Higgs boson #Lepton #Minimal Supersymmetric Standard Model #Muon #Neutrino #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Proton decay #Standard Model (mathematical formulation) #Supersymmetry #hep-ph
paper · pdf · doi:10.1103/physrevd.85.015012
published as Phys. Rev. D85, 015012 (2012) · 1 figure, 6 pages
openalex publication_date 2012/01/18 · arxiv created 2012/02/21 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A general electroweak scale Z^\ensuremath' is applied in a supersymmetric SU(6)\ifmmode×\else\texttimes\fiSU(2)h grand unification model, to have a ℤ6 for the hexality. We briefly show that there cannot exist any baryonic U(1)B^\ensuremath' in any subgroup of E6. Any effect that requires sizable Z^\ensuremath' couplings to quarks like the reported Wjj anomaly of CDF, if observed, implies a substantial Z^\ensuremath' coupling to leptons or Higgs doublets. The kinetic mixing considered in a supersymmetric model from E6 is restricted by the gauge coupling unification and neutrino mixing. The mass of Z^\ensuremath' is strongly constrained by the electroweak \ensuremathρ0 parameter. We conclude that a Z^\ensuremath' mass much above 10 TeV is favored by considering the neutrino mixing and proton decay constraint in supersymmetric models. In this sense, the CDF Wjj anomaly cannot be fitted to any electroweak model descending from E6. Furthermore, if Z^\ensuremath' is found at several hundred GeV, any grand unification group embedded in E6 such as SU(6)\ifmmode×\else\texttimes\fiSU(2), SO(10), SU(5)\ifmmode×\else\texttimes\fiU(1), SU(5), SU(4)\ifmmode×\else\texttimes\fiSU(4), and SU(3)3, needs fine-tuned gauge couplings. We also discuss the U(1)^\ensuremath' effect on the tree level mass of the lightest MSSM Higgs boson.