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Absence of CP Violation in the Scalar Sector of a Higgs Triplet Model

2025/12/25 by Matheo Escobar, Sebastian Olivares, Escobar, Matheo +1
#hep-ph

paper · pdf · doi:10.48550/arxiv.2512.21735

Abstract

We investigate the potential for spontaneous CP violation in a Higgs Triplet Model extension, including a complex singlet scalar. We demonstrate that the scalar potential strictly forbids spontaneous CP violation across the entire parameter space. For a non-zero trilinear coupling κ, minimization conditions combined with global symmetries enforce a phase alignment that yields a real vacuum. In the singular limit κ→ 0, we show that the enhancement of global symmetries renders unphysical vacuum phases. Consequently, we conclude that the scalar sector of this model cannot source CP violation.

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