Nearly Degenerate Majorana Dark Matter and Its Self-Interactions in a Gauged $U(1)_{L_μ- L_τ}$ Model

Fuente: arXiv
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Main Author: Yang, Kwei-Chou
Format: Preprint
Published: 2025
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author Yang, Kwei-Chou
author_facet Yang, Kwei-Chou
contents We propose a model of nearly degenerate Majorana dark matter (DM) in a gauged $U(1)_{L_μ- L_τ}$ extension of the Standard Model. Spontaneous symmetry breaking generates a dominant Majorana mass via a strong Yukawa coupling, splitting the dark fermion into two nearly degenerate states. The lighter state ($χ_-$) is the DM candidate, with an allowed mass of $\sim 10$ GeV to several hundred GeV. Crucially, within the $10 \sim 75$ GeV mass range and a scalar mediator at the tens of MeV scale, this strong coupling dictates the thermal relic abundance and induces significant elastic self-interactions. These self-interactions naturally resolve small-scale structure anomalies, such as the core-cusp problem, while satisfying massive cluster constraints. Furthermore, we place stringent joint constraints on the scalar mass and the Higgs mixing angle $α$ using the latest LZ 2025 direct detection data. The model's gauge boson $Z^\prime$ maintains early-Universe thermal equilibrium and accommodates the muon anomalous magnetic moment $(g-2)_μ$, remaining consistent with updated cosmological and experimental bounds.
format Preprint
id arxiv_https___arxiv_org_abs_2512_05694
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nearly Degenerate Majorana Dark Matter and Its Self-Interactions in a Gauged $U(1)_{L_μ- L_τ}$ Model
Yang, Kwei-Chou
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
High Energy Physics - Experiment
We propose a model of nearly degenerate Majorana dark matter (DM) in a gauged $U(1)_{L_μ- L_τ}$ extension of the Standard Model. Spontaneous symmetry breaking generates a dominant Majorana mass via a strong Yukawa coupling, splitting the dark fermion into two nearly degenerate states. The lighter state ($χ_-$) is the DM candidate, with an allowed mass of $\sim 10$ GeV to several hundred GeV. Crucially, within the $10 \sim 75$ GeV mass range and a scalar mediator at the tens of MeV scale, this strong coupling dictates the thermal relic abundance and induces significant elastic self-interactions. These self-interactions naturally resolve small-scale structure anomalies, such as the core-cusp problem, while satisfying massive cluster constraints. Furthermore, we place stringent joint constraints on the scalar mass and the Higgs mixing angle $α$ using the latest LZ 2025 direct detection data. The model's gauge boson $Z^\prime$ maintains early-Universe thermal equilibrium and accommodates the muon anomalous magnetic moment $(g-2)_μ$, remaining consistent with updated cosmological and experimental bounds.
title Nearly Degenerate Majorana Dark Matter and Its Self-Interactions in a Gauged $U(1)_{L_μ- L_τ}$ Model
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
High Energy Physics - Experiment
url https://arxiv.org/abs/2512.05694