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arXiv · 2609.38050

Self-interacting $O(N)$ scalar dark matter multiplet in a Higgs-portal model with a light scalar mediator

U-Rae Kim·Jungil Lee·Soo-hyeon Nam
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Abstract

We investigate self-interacting dark matter in an $O(N)$-symmetric real scalar multiplet model with Higgs-portal interactions involving the Standard Model Higgs and a real singlet scalar. After spontaneous breaking of the singlet $\mathbb{Z}_2$ symmetry, the singlet scalar mixes with the SM Higgs boson. We focus on the regime where the resulting light scalar serves as a mediator, leading to sizable and velocity-dependent self-interactions. We impose constraints from Higgs measurements, rare $B$-meson decays, the dark matter relic abundance, spin-independent direct-detection searches, and scalar coupling perturbativity. We find viable parameter regions in which destructive interference between scalar-mediated scattering amplitudes suppresses the direct-detection cross section while allowing self-interactions relevant to dwarf-galaxy scales. Among these viable parameter regions, a subset also satisfies electroweak vacuum stability up to the Planck scale. Finally, we show that future long-lived-particle searches can probe part of the viable parameter space, providing complementary tests of Higgs-portal self-interacting dark matter with a light scalar mediator.

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U-Rae Kim, Jungil Lee, Soo-hyeon Nam. 2026-09-29. Self-interacting $O(N)$ scalar dark matter multiplet in a Higgs-portal model with a light scalar mediator. https://arxiv.org/abs/2609.38050

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