https://doi.org/10.1140/epjp/s13360-023-03670-6
Regular Article
Geometric minimization of softly broken potentials
CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1, 1049, Lisbon, Portugal
Received:
31
October
2022
Accepted:
5
January
2023
Published online:
24
January
2023
We study the minimization of the potentials of multi-Higgs models with symmetries that are softly broken. The powerful method of geometric minimization enables analytic minimization of the potentials of multi-Higgs models invariant under large symmetries. When these symmetries are softly broken, the method needs to be adapted. We propose a useful generalization that considers the effect of the soft-breaking terms to the quadratic part of the potential, by applying the procedure to restricted orbit spaces. We exemplify our novel methodology by finding and classifying the minima for an 
multi-Higgs model that is softly broken with specific terms.
© The Author(s) 2023
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