Inverse Amplitude Method for Perturbative Electroweak Symmetry Breaking Sector: The Singlet Higgs Portal as a Study Case

TL;DR

This paper applies the Inverse Amplitude Method to a toy model of electroweak symmetry breaking with a singlet scalar, demonstrating its effectiveness in estimating heavy state properties from low-energy data.

Contribution

It introduces a novel application of the Inverse Amplitude Method to electroweak symmetry breaking models with singlet scalars, comparing unitarized amplitudes to original model predictions.

Findings

Reproduces singlet mass within factors of 1-3

Overestimates the width of the singlet state

Validates the method's potential for new heavy state predictions

Abstract

We explore the use of the Inverse Amplitude Method for unitarization of scattering amplitudes to derive the existence and properties of possible new heavy states associated with perturbative extensions of the electroweak breaking sector of the Standard Model starting from the low energy effective theory. We use a toy effective theory generated by integrating out a heavy singlet scalar and compare the pole mass and width of the unitarized amplitudes with those of the original model. Our results show that the Inverse Amplitude Method reproduces correctly the singlet mass up to factors of O(1-3), but its width is overestimated.