Towards the effective potential of the Littlest Higgs model

TL;DR

This paper calculates the effective potential parameters in the Littlest Higgs model, combining radiative corrections and higher order operators, and analyzes constraints from electroweak symmetry breaking.

Contribution

It provides a detailed computation of the Higgs and scalar potential parameters in the Littlest Higgs model, incorporating both quantum corrections and effective operators.

Findings

Effective potential parameters are derived from one-loop corrections and tree-level operators.

Constraints from electroweak symmetry breaking restrict model parameters.

The analysis aids in understanding the viability of the Littlest Higgs model.

Abstract

We compute the relevant parameters of the combined Higgs and \phi scalar effective potential in the Littlest Higgs (LH) model. These parameters are obtained as the sum of two kind of contributions. The first one is the one-loop radiative corrections coming from fermions and gauge bosons. The second one is obtained at the tree level from the higher order effective operators needed for the ultraviolet completion of the model. Finally we analyze the restrictions that the requirement of reproducing the standard electroweak symmetry breaking of the SM set on the LH model parameters.