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

Abstract

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.

32 pages, matches IJMPA version

References in corpus (3)

• Electroweak corrections to charged-current e+e- --> 4 fermion processes - technical details and further results
• Physics Interplay of the LHC and the ILC
• Complete electroweak O(alpha) corrections to charged-current e+e- --> 4fermion processes

Cited by in corpus (8)

• Electroweak Radiative Corrections for Collider Physics
• Through precision straits to next standard model heights
• Higgs boson couplings: measurements and theoretical interpretation
• Finite-width effects in the near-threshold ZZZ and ZWW production at ILC
• Modifying the Dyson Series for Unstable Particles and Resonances
• Pair production of fundamental unstable particles in modified perturbation theory in NNLO
• W-pair production in modified perturbation theory
• Modified perturbation theory for angular distribution in W-pair production