Discovering chiral Higgsinos at the CERN LHC

Abstract

The concept of chirality is extended to the minimal supersymmetric standard model and the $\ensuremath{\mu}$-term is forbidden by a gauged $U(1{)}^{\ensuremath{'}}$ symmetry. $R$-parity automatically emerges after symmetry breaking, suppressing proton decay and protecting the lightest supersymmetric particle. Exotics charged under the standard model pose a challenge to traditional $SU(5)$ unification, but unification is still implemented in deconstructed grand unified theories. Because of the multitude of additional states to the minimal supersymmetric standard model, the ${Z}^{\ensuremath{'}}$ has a large width, and the standard model background, neglected in previous theoretical studies, becomes important for ${Z}^{\ensuremath{'}}$ discovery. As a result, the CERN LHC reach is reduced from 3.2 TeV, for a ${Z}^{\ensuremath{'}}$ with standard model decays, to 1.5 TeV, when additional decay channels are included. This model also predicts possibly long-lived colored and electroweak exotics.