Massive Vector Scattering in Lee-Wick Gauge Theory

Details Massive Vector Scattering in Lee-Wick Gauge Theory Massive Vector Scattering in Lee-Wick Gauge Theory

2007-10-29

arxiv.org/abs/0710.5528v1

Phys.Rev.D77:065010,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, no figures

Scientific paper

10.1103/PhysRevD.77.065010

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.

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