Massive Vector Scattering in Lee-Wick Gauge Theory

Abstract

We demonstrate that amplitudes describing scattering of longitudinally polarized massive vector bosons present in non-Abelian Lee-Wick gauge theory do not grow with energy and, hence, satisfy the constraints imposed by perturbative unitarity. This result contrasts with the widely-known violation of perturbative unitarity in the standard model with a very heavy Higgs. Our conclusions are valid to all orders of perturbation theory and depend on the existence of a formulation of the theory in which all operators are of dimension four or less. This can be thought of as a restriction on the kinds of higher dimension operator which can be included in the higher derivative formulation of the theory.

11 pages, no figures

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• The Lee-Wick Standard Model
• The Higgs Model with a Complex Ghost Pair
• Searching for Lee-Wick Gauge Bosons at the LHC
• Strongly Interacting Higgs Sector in the Minimal Standard Model?
• The process gg -> h_0 -> gamma gamma in the Lee-Wick Standard Model

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