Analysis of the Z^0 Resonant Amplitude in General R_ξGauges

Details Analysis of the Z^0 Resonant Amplitude in General R_ξGauges Analysis of the Z^0 Resonant Amplitude in General R_ξGauges

1996-07-07

arxiv.org/abs/hep-ph/9607253v2

Phys.Rev.Lett. 77 (1996) 4146-4149

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, LaTeX. Slightly modified version (to improve clarity of presentation). To be published in Phys. Rev. Letters

Scientific paper

10.1103/PhysRevLett.77.4146

The Z^0 resonant amplitude is discussed in general R_\xi gauges. When the original on-shell definition of the Z^0 mass M is employed, a gauge dependence of M emerges in the next-to-leading approximation which, although small, is of the same magnitude as the current experimental error. In the following order of expansion, these unphysical effects are unbounded. The gauge dependence of M disappears when modified, previously proposed definitions of mass or self-energies, are used. The relevance of these considerations to the concept of the mass of unstable particles is pointed out.

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