Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-03-09
Phys.Lett. B314 (1993) 413-420
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages plus 6 with figures (.uu at end, also available with anonymous ftp from pss058.psi.ch [129.129.40.58]), LaTeX, LMU-21/
Scientific paper
10.1016/0370-2693(93)91259-P
Several schemes to introduce finite width effects to reactions involving unstable elementary particles are given and the differences between them are investigated. The effects of the different schemes is investigated numerically for $W$ pair production. In $e^+e^-\to W^+W^-$ we find that the effect of the non-resonant graphs cannot be neglected for $\sqrt{s}\geq400\GeV$. There is no difference between the various schemes to add these to the resonant graphs away from threshold, although some violate gauge invariance. On the other hand, in the reaction $\gamma\gamma\to W^+W^-$ the effect of the non-resonant graphs is large everywhere, due to the $t$-channel pole. However, even requiring that the outgoing lepton is observable ($p_\perp > .02\sqrt{s}$) reduces the contribution to about 1\%. Again, the scheme dependence is negligible here.
Aeppli Andre
Cuypers Frank
Jan van Oldenborgh Geert
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