https://doi.org/10.1140/epjc/s10052-019-6807-3
Regular Article - Theoretical Physics
Vacuum stability conditions of the economical 
model from copositivity
1
Centro de Ciências Naturais e Humanas, Universidade Federal do ABC-UFABC, Santo André, SP, 09210-170, Brazil
2
Instituto de Física Gleb Wataghin-UNICAMP, Campinas, SP, 13083-859, Brazil
* e-mail: bruce.sanchez@ufabc.edu.br
Received:
30
December
2018
Accepted:
25
March
2019
Published online:
3
April
2019
By applying copositivity criterion to the scalar potential of the economical model, we derive necessary and sufficient bounded-from-below conditions at tree level. Although these are a large number of intricate inequalities for the dimensionless parameters of the scalar potential, we present general enlightening relations in this work. Additionally, we use constraints coming from the minimization of the scalar potential by means of the orbit space method, the positivity of the squared masses of the extra scalars, the Higgs boson mass, the 
gauge boson mass and its mixing angle with the SM Z boson in order to further restrict the parameter space of this model.
© The Author(s), 2019
