Unstable particle's wave-function renormalization prescription

Abstract

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.

10 pages, 3 figures

References in corpus (3)

• Flavour Mixing, Gauge Invariance and Wave-function Renormalisation
• On the Field Renormalization Constant for Unstable Particles
• A New Renormalization Scheme of Fermion Field in Standard Model

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