Gauge Invariance and Unstable Particles

Details Gauge Invariance and Unstable Particles Gauge Invariance and Unstable Particles

1995-06-24

arxiv.org/abs/hep-ph/9506417v2

Phys.Rev.Lett. 75 (1995) 3060-3063

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LaTeX (3 figures)

Scientific paper

10.1103/PhysRevLett.75.3060

A gauge-independent approach to resonant transition amplitudes with nonconserved external currents is presented, which is implemented by the pinch technique. The analytic expressions derived with this method are $U(1)_{em}$ invariant, independent of the choice of the gauge-fixing parameter, and satisfy a number of required theoretical properties, including unitarity. Although special attention is paid to resonant scatterings involving the $\gamma WW$ and $ZWW$ vertices in the minimal Standard Model, our approach can be extended to the top quark or other unstable particles appearing in renormalizable models of new physics.

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