Massive vector scattering in Lee-Wick gauge theory
Oct, 2007
11 pages
Published in:
- Phys.Rev.D 77 (2008) 065010
e-Print:
- 0710.5528 [hep-ph]
Report number:
- CALT-68-2662,
- UCSD-PTH-07-10
View in:
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Abstract: (arXiv)
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.- 11.15.Bt
- gauge field theory: nonabelian
- model: Lee-Wick
- gauge boson: scattering amplitude
- polarization: longitudinal
- unitarity
- perturbation theory: higher-order
- operator: higher-dimensional
- derivative: high
- Ward identity
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