$WW$ scattering in a radiative electroweak symmetry breaking scenario

Abstract

A classically scale invariant (CSI) extension of the standard model (SM) induces radiative electroweak symmetry breaking and predicts anomalously large Higgs self-interactions. Hence, $W_L{W}_L$ scattering processes can be a good probe of the symmetry breaking mechanism. We develop a theoretical framework for perturbative computation and calculate $WW$ scattering amplitudes in a CSI model. It is shown that $W_L{W}_L$ scattering amplitudes satisfy the equivalence theorem, and that a large deviation of $W_L{W}_L$ differential cross sections from the SM predictions is predicted depending on the c.m. energy and scattering angle. The results are more accurate than those based on the effective-potential approach. A prescription to implement predictions of the CSI model to Monte Carlo event generators is also presented.

33 pages, 12 figures; modifications in texts; published version in PRD; modifications in references

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• Minima of Classically Scale-Invariant Potentials
• Probing Higgs self-coupling of a classically scale invariant model in $e^{+}{e}^{-}\to Zhh$: Evaluation at physical point
• Longitudinal W boson scattering in a light scalar top scenario