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arXiv · hep-ph/0110296

On the Field Renormalization Constant for Unstable Particles

Bernd A. Kniehl·Alberto Sirlin
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Abstract

A recently proposed normalization condition for the imaginary part of the self-energy of an unstable particle is shown to lead to a closed expression for the field renormalization constant Z. In turn, the exact expression for Z is necessary, in some important cases, in order to avoid power-like infrared divergences in high orders of perturbation theory. In the same examples, the width plays the rôle of an infrared cutoff and, consequently, Z is not an analytic function of the coupling constant.

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Bernd A. Kniehl, Alberto Sirlin. 2001-10-23. On the Field Renormalization Constant for Unstable Particles. https://doi.org/10.1016/s0370-2693(02)01331-x

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