Vacuum structure of the Z2 symmetric Georgi-Machacek model

Abstract

We discuss the vacuum structure of a version of the Georgi-Machecek model with an exact Z2 symmetry acting on the triplet fields. Besides the usual custodial-symmetric model, with =1 at tree-level, a model with a dark matter candidate is also viable. The other phases of the model lead to electric charge breaking, a wrong pattern of electroweak symmetry breaking or to ≠ 1 at tree-level. We derive conditions to have an absolute minimum in each of the two viable phases, the custodial and the dark matter phases.

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