Strongly interacting $W_L W_L, Z_L Z_L$ and $hh$ from unitarized one-loop computations

TL;DR

This paper investigates the strongly interacting dynamics of electroweak gauge bosons and the Higgs boson using one-loop calculations and unitarization techniques, providing predictions testable at the LHC.

Contribution

It introduces a comprehensive one-loop analysis of electroweak scattering processes with unitarization, extending the understanding of possible beyond Standard Model interactions.

Findings

Predicted strong interactions in VV and hh scattering channels.

Identified necessary counterterms for divergence cancellation.

Discussed limitations of one-loop unitarized predictions.

Abstract

Recently, a new boson h has been discovered at the LHC which, so far, is compatible with the properties of the SM Higgs. However, the SM is not the most general low-energy dynamics for the minimal electroweak symmetry breaking sector with three Goldstone bosons and one light scalar. By using non-linear effective Lagrangian for these four particles we study different processes at one-loop precision, identifying the counterterms needed to cancel the divergences. Then we apply the IAM unitarization method on the partial waves, both to make more realistic predictions which could be tested at the LHC and to discuss the limitations of the one-loop computations. The studied processes are the elastic scattering amplitude for both the longitudinal components of the gauge bosons V = W, Z and the hh -> hh, as well as the inelastic VV -> hh.