Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-02-23
Phys.Lett. B531 (2002) 225-230
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, LaTeX, no figures. 3 references are added, 2 misprints are corrected, minor changes in the text
Scientific paper
10.1016/S0370-2693(02)01435-1
A generalization of the on-mass-shell scheme of UV renormalization (the OMS-bar scheme) to the case of presence of unstable fundamental particles (like W and Z bosons) is proposed. Its basic ingredients are as follows: (i) the renormalized mass coincides with a real part of the position of the complex pole of the corresponding propagator, (ii) the imaginary part of the on-shell self-energy coincides with the imaginary part of the complex pole position. The latter property implies the gauge-invariance of the imaginary part of the on-shell self-energy in the OMS-bar scheme and its connection with the lifetime of an unstable particle. Starting with the three-loops this connection becomes nontrivial.
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