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  • Open Access

Self-interacting dark matter with observable ΔNeff

Debasish Borah1,2,*, Satyabrata Mahapatra3,†, Narendra Sahu4,‡, and Vicky Singh Thounaojam4,§

  • *Contact author: dborah@iitg.ac.in
  • †Contact author: satyabrata@skku.edu
  • ‡Contact author: nsahu@phy.iith.ac.in
  • §Contact author: ph22resch01004@iith.ac.in

Phys. Rev. D 112, 035037 – Published 27 August, 2025

DOI: https://doi.org/10.1103/tkzf-r816

Abstract

We propose a GeV-scale self-interacting dark matter (SIDM) candidate within a dark U(1)D gauged extension of the Standard Model (SM), addressing small-scale structure issues in ΛCDM while predicting an observable contribution to ΔNeff in the form of dark radiation. The model introduces a fermionic DM candidate χ and a scalar ϕ, both charged under an unbroken U(1)D gauge symmetry. The self-interactions of χ are mediated by a light vector boson Xμ, whose mass is generated via the Stueckelberg mechanism. The relic abundance of χ is determined by thermal freeze-out through annihilations into Xμ, supplemented by a nonthermal component from the late decay of ϕ. Crucially, ϕ decays after the big bang nucleosynthesis (BBN) but before the cosmic microwave background (CMB) epoch, producing additional χ and a dark radiation species (νS). This late-time production compensates for thermal underabundance due to efficient annihilation into light mediators, while remaining consistent with structure formation constraints. The accompanying dark radiation yields a detectable ΔNeff, compatible with Planck 2018 bounds and within reach of next-generation experiments such as SPT-3G, CMB-S4, and CMB-HD.

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