OMS-bar scheme of UV renormalization in the presence of unstable
fundamental particles
release_7cspwthu7vfv7hzsjfrtvjl3lu
by
M. L. Nekrasov
2001
Abstract
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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