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arXiv · hep-ph/9902262

Asymptotic properties of Born-improved amplitudes with gauge bosons in the final state

Joannis Papavassiliou
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Abstract

For processes with gauge bosons in the final state we show how to continuously connect with a single Born-improved amplitude the resonant region, where resummation effects are important, with the asymptotic region far away from the resonance, where the amplitude must reduce to its tree-level form. While doing so all known field-theoretical constraints are respected, most notably gauge-invariance, unitarity and the equivalence theorem. The calculations presented are based on the process $f\bar{f}\to ZZ$, mediated by a possibly resonant Higgs boson; this process captures all the essential features, and can serve as a prototype for a variety of similar calculations. By virtue of massive cancellations the resulting closed expressions for the differential and total cross-sections are particularly compact.

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Joannis Papavassiliou. 1999-02-07. Asymptotic properties of Born-improved amplitudes with gauge bosons in the final state. https://doi.org/10.1103/physrevd.60.056001

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