Unstable particle's wave-function renormalization prescription

Details Unstable particle's wave-function renormalization prescription Unstable particle's wave-function renormalization prescription

2005-02-21

arxiv.org/abs/hep-ph/0502186v7

Mod.Phys.Lett.A21:2763-2777,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 3 figures

Scientific paper

10.1142/S0217732306020408

We strictly define two set Wave-function Renormalization Constants (WRC) under the LSZ reduction formula for unstable particles at the first time. Then by introducing antiparticle's WRC and the CPT conservation law we obtain a new wave-function renormalization condition which can be used to totally determine the two set WRC. We calculate two physical processes to manifest the consistence of the present wave-function renormalization prescription with the gauge theory in standard model. We also prove that the conventional wave-function renormalization prescription which discards the imaginary part of unstable particle's WRC leads to physical amplitude gauge dependent.

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