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IHEP 2001 - 9 (in Russian) | |
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| M.L. Nekrasov | ||
| OMS scheme of UV renormalization in the presence of unstable fundamental particles | ||
| Protvino, 2001.- p.7, refs.:12. | ||
A generalization of the on-mass-shell scheme of UV renormalization (the $\overline{\mbox{OMS}}$ 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 $\overline{\mbox{OMS}}$ scheme and its connection with the lifetime of an unstable particle. Starting with the three-loops this connection becomes nontrivial.
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