One Loop Renormalization of the Littlest Higgs Model

TL;DR

This paper analyzes the one-loop renormalization process in the Littlest Higgs Model, revealing how collective symmetry is broken and restored through renormalization, with novel features distinct from similar chiral Lagrangian studies.

Contribution

It provides the first detailed study of one-loop renormalization in the Littlest Higgs Model, highlighting unique aspects of symmetry breaking and restoration.

Findings

Collective symmetry is broken by weak gauge interactions.

Renormalization can restore symmetry at specific points.

Novel features distinguish this from chiral Lagrangian studies.

Abstract

In Little Higgs models a collective symmetry prevents the Higgs from acquiring a quadratically divergent mass at one loop. This collective symmetry is broken by weakly gauged interactions. Terms, like Yukawa couplings, that display collective symmetry in the bare Lagrangian are generically renormalized into a sum of terms that do not respect the collective symmetry except possibly at one renormalization point where the couplings are related so that the symmetry is restored. We study here the one loop renormalization of a prototypical example, the Littlest Higgs Model. Some features of the renormalization of this model are novel, unfamiliar form similar chiral Lagrangian studies.