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arXiv · 2512.16389

Compactified 2HDM under the Non-SUSY AdS instability conjecture

M. A. Rbah·S. Saoud·R. Sammani·E. H. Saidi·R. Ahl Laamara
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Abstract

We investigate how extra-dimensional dynamics influence Higgs-sector phenomenology by compactifying a Two-Higgs-Doublet Model (2HDM) coupled to 4D gravity on a circle \(S^1\). The resulting effective potential includes tree-level 2HDM interactions, one-loop Coleman--Weinberg corrections from the Kaluza--Klein towers, and an effective radion stabilization contribution inspired by the broader modulus-stabilization literature. We derive the corresponding 3D effective action and show that, for the observed Higgs mass \(m_h=125\,\mathrm{GeV}\), the compactified potential admits a stabilized configuration with near-zero vacuum energy. By imposing the non-supersymmetric AdS instability conjecture as a quantum-gravity consistency requirement, we obtain a constraint within our numerical setup on the heavy Higgs sector, finding that the additional scalar states must satisfy approximately \(M_H \gtrsim 680\,\mathrm{GeV}\) in order to avoid perturbatively stable non-supersymmetric AdS\(_3\) minima. Our results demonstrate how Swampland-inspired constraints can yield phenomenologically relevant predictions for extended Higgs sectors.

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M. A. Rbah, S. Saoud, R. Sammani, E. H. Saidi, R. Ahl Laamara. 2025-12-18. Compactified 2HDM under the Non-SUSY AdS instability conjecture. https://arxiv.org/abs/2512.16389

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