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

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.

23 pages, Latex, 4 Figures, uses axodraw

References in corpus (7)

• Gauge- and Renormalization-Group- Invariant Formulation of the Higgs-Boson Resonance
• Radiative Corrections to W and Quark Propagators in the Resonance Region
• Effective Charge of the Higgs Boson
• Differences Between the Pole and On-Shell Masses and Widths of the Higgs Boson
• Unstable Systems in Relativistic Quantum Field Theory
• Determining the Coupling of a Higgs Boson to $ZZ$ at Linear Colliders
• A Simple Born-Form Approximation for e^+ e^- to W^+W^- at One Loop

Cited by in corpus (2)

• Pinch Technique: Theory and Applications
• Gauge-Independent Approach to Resonant Dark Matter Annihilation