Modified perturbation theory for pair production and decay of fundamental unstable particles

Details Modified perturbation theory for pair production and decay of fundamental unstable particles Modified perturbation theory for pair production and decay of fundamental unstable particles

2007-09-19

arxiv.org/abs/0709.3046v4

Int.J.Mod.Phys.A24:6071-6103,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, matches IJMPA version

Scientific paper

10.1142/S0217751X09047673

We construct an asymptotic expansion in powers of the coupling constant directly of the cross-section for pair production and decay of fundamental unstable particles. The resonant and kinematic singularities arising in the expansion we treat in the sense of distributions. This mode allows us to transform formally divergent integrals into absolutely convergent ones with keeping the asymptotic property of the expansion. The appropriate procedure is elaborated up to an arbitrary order of the expansion. The peculiarity of application of the procedure in the threshold region is analysed. The scheme of the calculations within the NNLO approximation is explicitly discussed.

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