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arXiv · 0710.5528

Massive Vector Scattering in Lee-Wick Gauge Theory

Benjamin Grinstein·Donal O'Connell·Mark B. Wise
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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.

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Benjamin Grinstein, Donal O'Connell, Mark B. Wise. 2007-10-29. Massive Vector Scattering in Lee-Wick Gauge Theory. https://doi.org/10.1103/physrevd.77.065010

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