Z' from SU(6)$\times$SU(2)_h GUT, Wjj anomaly and Higgs boson mass bound

Abstract

A general electroweak scale $Z^{\prime }$ is applied in a supersymmetric SU(6)$\timesSU(2)_h$ grand unification model, to have a ${\mathbb{Z}}_6$ for the hexality. We briefly show that there cannot exist any baryonic U(1)${}_B^{\prime }$ in any subgroup of E${}_6$. Any effect that requires sizable $Z^{\prime }$ couplings to quarks like the reported Wjj anomaly of CDF, if observed, implies a substantial $Z^{\prime }$ coupling to leptons or Higgs doublets. The kinetic mixing considered in a supersymmetric model from E${}_6$ is restricted by the gauge coupling unification and neutrino mixing. The mass of $Z^{\prime }$ is strongly constrained by the electroweak ${\rho }_0$ parameter. We conclude that $Z^{\prime }$ 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 E${}_6$. Furthermore, if $Z^{\prime }$ is found at several hundred GeV, any grand unification group embedded in E${}_6$ such as SU(6)$\times$SU(2), SO(10), SU(5)$\times$U(1), SU(5), SU(4)$\times$SU(4), and SU(3)${}^3$, needs fine-tuned gauge couplings. We also discuss the U(1)${}^{\prime }$ effect on the tree level mass of the lightest MSSM Higgs boson.

1 figure, 6 pages

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Cited by in corpus (8)

• Cosmic Coincidence and Asymmetric Dark Matter in a Stueckelberg Extension
• String Derived Exophobic SU(6)xSU(2) GUTs
• Z'-gauge Bosons as Harbingers of Low Mass Strings
• CDF W mass anomaly from a dark sector with a Stueckelberg-Higgs portal
• A light charged Higgs boson in two-Higgs doublet model for CDF $Wjj$ anomaly
• D0 dimuon charge asymmetry from B_s system with Z' couplings and the recent LHCb result
• Dissecting the Wjj Anomaly: Diagnostic Tests of a Leptophobic Z'
• Embedding Zprime models in SO(10) GUTs