Modified perturbation theory approach for tt-bar production and decay

Details Modified perturbation theory approach for tt-bar production and decay Modified perturbation theory approach for tt-bar production and decay

2002-07-18

arxiv.org/abs/hep-ph/0207215v1

Phys.Lett. B545 (2002) 119-126

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 11 pages, 3 eps figures

Scientific paper

10.1016/S0370-2693(02)02549-2

The modified perturbation theory (MPT), based on direct expansion of probabilities instead of amplitudes, allows one to avoid divergences in the phase-space integrals resulting from production and decay of unstable particles. In the present paper the range of applicability of MPT is determined numerically in the case of the process $e^+e^- \to (\gamma,Z) \to t\bar t \to W^{+}b:W^{-}\bar b$. It is shown that with the complete expansion in powers of the coupling constant (without Dyson resummation) MPT operates best at the energies located near the maximum of the cross-section and slightly above the maximum. In this region the MPT expansion within the next-to-leading order considerably exceeds in accuracy well-known DPA approach.

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