Nonlinearly Realized Gauge Theories for LHC Physics

TL;DR

This paper develops a minimal nonlinearly realized electroweak model with Stueckelberg mass generation, predicting new scalar particles and bridging Higgs and Stueckelberg scenarios, to test against LHC data.

Contribution

It introduces a unique nonlinearly realized gauge theory with specific BSM predictions, including additional scalars, controlled by functional methods and Weak Power Counting.

Findings

Predicts one CP-odd and two charged scalars beyond the Higgs.

Provides a framework to test Stueckelberg mass components with LHC data.

Interpolates between Higgs and Stueckelberg mass generation scenarios.

Abstract

We consider a minimal nonlinearly realized electroweak theory where mass generation happens \`a la Stueckelberg. Deformation of the nonlinearly realized gauge symmetry is controlled by functional methods. The Weak Power Counting allows to select uniquely the Hopf algebra of the theory and gives definite predictions on the Beyond-the-Standard Model (BSM) sector of the theory: the latter includes one CP-odd and two charged physical scalars (in addition to the Higgs-like CP-even resonance). The model interpolates between a purely Stueckelberg and a Higgs scenario. It can be used in order to check whether the presence of a Stueckelberg mass component can already be excluded on the basis of the existing LHC7-8 data.