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The full Boltzmann hierarchy for dark matter-massive neutrino interactions

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arxiv 2011.04206 v1 pith:4L7S7GWU submitted 2020-11-09 astro-ph.CO hep-ph

classification astro-ph.COhep-ph
keywords interactionssigmadataneutrinosplanckboltzmanncontextcosmological
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The impact of dark matter-neutrino interactions on the measurement of the cosmological parameters has been investigated in the past in the context of massless neutrinos exclusively. Here we revisit the role of a neutrino-dark matter coupling in light of ongoing cosmological tensions by implementing the full Boltzmann hierarchy for three massive neutrinos. Our tightest 95% CL upper limit on the strength of the interactions, parameterized via $u_\chi =\frac{\sigma_0}{\sigma_{Th}}\left(\frac{m_\chi}{100 \text{GeV}}\right)^{-1}$, is $u_\chi\leq3.34 \cdot 10^{-4}$, arising from a combination of Planck TTTEEE data, Planck lensing data and SDSS BAO data. This upper bound is, as expected, slightly higher than previous results for interacting massless neutrinos, due to the correction factor associated with neutrino masses. We find that these interactions significantly relax the lower bounds on the value of $\sigma_8$ that is inferred in the context of $\Lambda$CDM from the Planck data, leading to agreement within 1-2$\sigma$ with weak lensing estimates of $\sigma_8$, as those from KiDS-1000. However, the presence of these interactions barely affects the value of the Hubble constant $H_0$.

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Cited by 5 Pith papers

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  1. High resolution Lyman-{\alpha} forest constraints on dark matter-neutrino scattering

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    The Lyman-alpha forest constrains dark matter-neutrino scattering to u_nu_chi < 1.5e-8 (95% C.L.), excluding previously claimed hints of a non-zero interaction.

  2. 21 cm Cosmology Sensitivity to Small-Scale Structure: Warm vs Neutrino-Interacting Dark Matter

    astro-ph.CO 2025-11 conditional novelty 6.0 of 10

    21 cm forecasts show HERA can detect νDM interactions down to ~3×10⁻³⁵ cm² (assuming zero modelling error) but cannot distinguish νDM from warm dark matter.

  3. New Constraints on Neutrino-Dark Matter Interactions: A Comprehensive Analysis

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Most benchmark neutrino-dark matter couplings adopted in previous studies are excluded when laboratory meson and Z decay bounds are combined with cosmological and astrophysical constraints, leaving only special galact...

  4. Rapid and accurate numerical evolution of linear cosmological perturbations with non-cold relics

    astro-ph.CO 2025-06 conditional novelty 6.0 of 10

    CLASSIER computes cosmological perturbation spectra with non-cold relics using iterated integral equations and non-uniform fast Fourier transforms, matching a converged Boltzmann hierarchy to <0.01% in the matter powe...

  5. Cosmological impact of $\nu$DM interactions enhanced in narrow redshift ranges

    astro-ph.CO 2025-05 conditional novelty 6.0 of 10

    A redshift-limited dark matter-neutrino interaction reproduces the observed preference for non-zero coupling in CMB and cosmic shear data and evades small-scale structure bounds.

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