$SU(4)_L \times U(1)_X$ models with little Higgs

TL;DR

This paper explores an $SU(4)_L imes U(1)_X$ little Higgs model, detailing fermion and gauge boson interactions, anomaly cancellation, and phenomenological implications, with a focus on quadratic divergence cancellation in Higgs mass corrections.

Contribution

It introduces a specific fermion set ensuring anomaly cancellation and demonstrates the cancellation of one-loop quadratic divergences in the Higgs mass within the model.

Findings

Successful anomaly cancellation with new fermions.

Explicit quadratic divergence cancellation from gauge bosons and fermions.

Discussion of phenomenological implications based on recent experiments.

Abstract

We discuss the aspects of the fermions and gauge bosons in $SU(4)_L \times U(1)_X$ models with little Higgs. We introduce a set of fermions which ensures the cancellation of gauge anomaly, and explicitly show the cancellation of one-loop quadratic divergence to the Higgs mass from all fermion multiplets and all gauge bosons. We present the interactions of the standard model fermions with the physical gauge bosons. We also discuss some phenomenological implications of the model based on recent experimental results.