1998/06/30 by Thomas G. Rizzo · 5 citations
Physics and Astronomy · #Algorithm #Computer science #Coupling (piping) #Dark Matter and Cosmic Phenomena #Electron #Gauge (firearms) #Kinetic energy #Lepton #Mixing (physics) #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scale (ratio) #Standard Model (mathematical formulation) #Type (biology) #hep-ph
paper · pdf · doi:10.1103/physrevd.59.015020
published as Phys. Rev. D 59, 015020 (1998) · several typos corrected
arxiv created 1998/09/22 · openalex publication_date 1998/12/11 · openalex created_date 2016/06/24 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05
We examine the influence of gauge kinetic mixing on the couplings of a TeV scale Z^\ensuremath' in both E6 and SO(10) models. The strength of such mixing, which arises due to the existence of incomplete matter representations at low scale, can be described by a single parameter \ensuremathδ. The value of this parameter can significantly influence the ability of both hadron and lepton colliders to detect a Z^\ensuremath' using conventional search techniques. In addition, \ensuremathδ\ensuremath≠0 also adds to the complexities involved in separating E6 Z^\ensuremath' models from those arising from alternative scenarios. Employing a reasonable set of assumptions we have determined the allowed range for this parameter within a wide class of models via an RGE analysis. In particular, given the requirements of standard model gauge coupling unification, anomaly freedom, and perturbativity up to the GUT scale, we demonstrate that the necessary condition for exact leptophobia in \ensuremathη type E6 models, \ensuremathδ=\ensuremath-1/3, is impossible to achieve in this scenario. Furthermore we show that the allowed range for \ensuremathδ is rather restricted for arbitrary values of the mixing between the U(1)_\ensuremathχ and U(1)_\ensuremathψ type couplings. The SO(10) Z^\ensuremath' model \ensuremathχ is discussed as a separate case since it requires special attention.