On the Field Renormalization Constant for Unstable Particles

Details On the Field Renormalization Constant for Unstable Particles On the Field Renormalization Constant for Unstable Particles

2001-10-23

arxiv.org/abs/hep-ph/0110296v1

Phys.Lett. B530 (2002) 129-132

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages (Latex)

Scientific paper

10.1016/S0370-2693(02)01331-X

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 r\^ole of an infrared cutoff and, consequently, Z is not an analytic function of the coupling constant.

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