Towards the effective potential of the littlest Higgs model

Antonio Dobado; Lourdes Tabares; Siannah Peñaranda

doi:10.1140/epjc/s10052-008-0776-2

EPJ

Towards the effective potential of the littlest Higgs model

Antonio Dobado¹, Lourdes Tabares¹ and Siannah Peñaranda²^*

¹ Departamento de Física Teórica I, Universidad Complutense de Madrid, 28040, Madrid, Spain
² Departamento de Física Teórica, Universidad de Zaragoza, 50009, Zaragoza, Spain

Received: 1 February 2008
Revised: 24 September 2008
Published online: 29 October 2008

Abstract

We compute the relevant parameters of the combined Higgs and φ scalar effective potential in the littlest Higgs (LH) model. These parameters are obtained as the sum of two kinds of contributions. The first one is the one-loop radiative corrections coming from fermions and gauge bosons. The second one is obtained at 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.