Stability of the scalar potential and symmetry breaking in the economical 3-3-1 model

Yithsbey Giraldo; William A. Ponce; Luis A. Sánchez

doi:10.1140/epjc/s10052-009-1101-4

EPJ

Stability of the scalar potential and symmetry breaking in the economical 3-3-1 model

Yithsbey Giraldo¹^,2^*, William A. Ponce¹ and Luis A. Sánchez³

¹ Instituto de Física, Universidad de Antioquia, A.A. 1226, Medellín, Colombia
² Departamento de Física, Universidad de Nariño, A.A. 1175, Pasto, Colombia
³ Eseuela de Física, Universidad Nacional de Colombia, A.A. 3840, Medellín, Colombia

Received: 22 May 2009
Published online: 31 July 2009

Abstract

A detailed study of the criteria for stability of the scalar potential and the proper electroweak symmetry breaking pattern in the economical 3-3-1 model, is presented. For the analysis we use and improve a method previously developed to study the scalar potential in the two-Higgs-doublet extension of the standard model. A new theorem related to the stability of the potential is stated. As a consequence of this study, the consistency of the economical 3-3-1 model emerges.