Quasar light becomes absorbed by the Lyman-α line of neutral hydrogen in “clouds” along the line-of-sight in the highly ionized intergalactic medium after re-ionization. The received flux spectrum is known as the “Lyman-α forest”. Limits on the dark matter “standard thermal relic mass” have been obtained in the literature from the power spectrum of the Lyman-α forest, e.g.
keV. These limits are in tension with four independent estimates of the dark matter warmness:
keV. To try to understand this tension we attempt to measure the dark matter warmness by two methods: the power spectrum of the Lyman-α forest, and the width of individual absorption lines, e.g. “Lyman-α trees”. We obtain a measurement of the dark matter warmness with the Lyman-α forest power spectrum, in agreement with the four independent estimates. In conclusion, the warm dark matter free-streaming is clearly observed as a cut-off of the Lyman-α forest power spectrum.
References
[1]
Navas, S., et al. (2024) The Review of Particle Physics. Physical Review D, 110, Article ID: 030001.
[2]
Hoeneisen, B. (2026) Update to Four Estimates of the Dark Matter Warmness. InternationalJournalofAstronomyandAstrophysics, 16, 79-93. https://doi.org/10.4236/ijaa.2026.162006
[3]
Viel, M., Lesgourgues, J., Haehnelt, M.G., Matarrese, S. and Riotto, A. (2005) Constraining Warm Dark Matter Candidates Including Sterile Neutrinos and Light Gravitinos with WMAP and the Lyman-α Forest. PhysicalReviewD, 71, Article ID: 063534. https://doi.org/10.1103/physrevd.71.063534
[4]
Liu, B., Shan, H. and Zhang, J. (2024) New Galaxy UV Luminosity Constraints on Warm Dark Matter from JWST. TheAstrophysicalJournal, 968, Article 79. https://doi.org/10.3847/1538-4357/ad4ed8
[5]
Ir?i?, V., Viel, M., Haehnelt, M.G., Bolton, J.S., Molaro, M., Puchwein, E., et al. (2024) Unveiling Dark Matter Free Streaming at the Smallest Scales with the High Redshift Lyman-α Forest. PhysicalReviewD, 109, Article ID: 043511. https://doi.org/10.1103/physrevd.109.043511
[6]
Boera, E., Becker, G.D., Bolton, J.S. and Nasir, F. (2019) Revealing Reionization with the Thermal History of the Intergalactic Medium: New Constraints from the Lyα Flux Power Spectrum. TheAstrophysicalJournal, 872, Article 101. https://doi.org/10.3847/1538-4357/aafee4
[7]
Dekker, H., D’Odorico, S., Kaufer, A., Delabre, B. and Kotzlowski, H. (2000) Design, Construction, and Performance of UVES, the Echelle Spectrograph for the UT2 Kueyen Telescope at the ESO Paranal Observatory. SPIE Proceedings, 4008, 534-545. https://doi.org/10.1117/12.395512
[8]
Vogt, S.S., Allen, S.L., Bigelow, B.C., Bresee, L., Brown, W.E., Cantrall, T., et al. (1994) HIRES: The High-Resolution Echelle Spectrometer on the Keck 10-m Telescope. SPIE Proceedings, 2198, 362. https://doi.org/10.1117/12.176725
[9]
Garzilli, A., Theuns, T. and Schaye, J. (2015) The Broadening of Lyman-α Forest Absorption Lines. MonthlyNoticesoftheRoyalAstronomicalSociety, 450, 1465-1476. https://doi.org/10.1093/mnras/stv394
[10]
MacInnis, A. and Sehgal, N. (2025) CMB-HD as a Probe of Dark Matter on Sub-Galactic Scales. JournalofCosmologyandAstroparticlePhysics, 2025, Article 48. https://doi.org/10.1088/1475-7516/2025/02/048
[11]
Broxterman, J.C., Simon, P., Porth, L., Kuijken, K., Wright, A.H., Asgari, M., et al. (2025) Matter Power Spectrum Reconstruction with Kids-Legacy: Improved Internal ΛCDM Consistency and Preference for Strong Baryonic Feedback. Astronomy&Astrophysics, 703, L3. https://doi.org/10.1051/0004-6361/202557182
[12]
Perez Sarmiento, K., Lagu?, A., Madhavacheril, M.S., Jain, B. and Sherwin, B. (2025) Reconstructing the Shape of the Nonlinear Matter Power Spectrum Using CMB Lensing and Cosmic Shear. PhysicalReviewD, 112, Article ID: 063510. https://doi.org/10.1103/bzrj-76sn
[13]
O’Meara, J.M., Lehner, N., Howk, J.C., Prochaska, J.X., Fox, A.J., Peeples, M.S., et al. (2017) The Second Data Release of the KODIAQ Survey. TheAstronomicalJournal, 154, Article 114. https://doi.org/10.3847/1538-3881/aa82b8
[14]
O’Meara, J.M., Lehner, N., Howk, J.C., Prochaska, J.X., Fox, A.J., Swain, M.A., et al. (2015) The First Data Release of the Kodiaq Survey. TheAstronomicalJournal, 150, Article 111. https://doi.org/10.1088/0004-6256/150/4/111
[15]
Lehner, N., O’Meara, J.M., Fox, A.J., Howk, J.C., Prochaska, J.X., Burns, V., et al. (2014) Galactic and Circumgalactic O Vi and Its Impact on the Cosmological Metal and Baryon Budgets AT 2 < z ? 3.5. TheAstrophysicalJournal, 788, Article 119. https://doi.org/10.1088/0004-637x/788/2/119
[16]
Garzilli, A., Magalich, A., Theuns, T., Frenk, C.S., Weniger, C., Ruchayskiy, O., et al. (2019) The Lyman-α Forest as a Diagnostic of the Nature of the Dark Matter. MonthlyNoticesoftheRoyalAstronomicalSociety, 489, 3456-3471. https://doi.org/10.1093/mnras/stz2188
[17]
G?ksel Kara?ayl, N., Padmanabhan, N., Font-Ribera, A., et al. (2022) Optimal 1D Lyα Forest Power Spectrum Estimation—II. KODIAQ, SQUAD & XQ-100, arxiv:2108.10870.
[18]
Hoeneisen, B. (2025) The Warm Dark Matter Plus Baryon Linear Power Spectrum. InternationalJournalofAstronomyandAstrophysics, 15, 264-281. https://doi.org/10.4236/ijaa.2025.153017
[19]
Boyanovsky, D., de Vega, H.J. and Sanchez, N.G. (2008) Dark Matter Transfer Function: Free Streaming, Particle Statistics, and Memory of Gravitational Clustering. PhysicalReviewD, 78, Article ID: 063546. https://doi.org/10.1103/physrevd.78.063546
[20]
Macciò, A.V., Paduroiu, S., Anderhalden, D., Schneider, A. and Moore, B. (2012) Cores in Warm Dark Matter Haloes: A Catch 22 Problem. MonthlyNoticesoftheRoyalAstronomicalSociety, 424, 1105-1112. https://doi.org/10.1111/j.1365-2966.2012.21284.x
[21]
Weinberg, S. (2008) Cosmology. Oxford University Press.