Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-02-17
Eur.Phys.J.C19:441-454,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, 2 figures; minor changes in the text, version to appear in Eur.Phys.J.C
Scientific paper
10.1007/s100520100610
The processes of production and subsequent decay of W- and Z-bosons in $e^+ e^-$ collisions are considered in a recently proposed modified perturbation theory (PT), based on a direct expansion of probabilities instead of amplitudes. In such an approach the non-integrable singularities in the phase space, which are intrinsic in the conventional PT, appear as singularities in the coupling constant (with subsequent compensation by the decay factors of unstable particles). In the present paper the systematic investigation of the modified PT is carried out. The results are compared with the results of the conventional approach, based on calculation of the amplitude with Dyson resummation. A solution to the problem of the loss of one-loop PT order in the resonance region is found. On the basis of this solution the proof of gauge cancellations in any order of the modified PT is given. A simple generalization of the fermion-loop scheme is proposed which provides a complete description of W-pair production in next-to-leading order approximation.
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