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A combined analysis of the H 0 late time direct measurements and the impact on the Dark Energy sector
Open accessAbstract
ABSTRACT We combine 23 Hubble constant measurements based on Cepheids-SN Ia, TRGB-SN Ia, Miras-SN Ia, Masers, Tully Fisher, Surface Brightness Fluctuations, SN II, Time-delay Lensing, Standard Sirens and γ-ray Attenuation, obtaining our best optimistic H0 estimate, that is H0 = 72.94 ± 0.75 km s–1 Mpc–1 at 68 per cent CL. This is in 5.9σ tension with the ΛCDM model, therefore we evaluate its impact on the extended Dark Energy cosmological models that can alleviate the tension. We find more than 4.9σ evidence for a phantom Dark Energy equation of state in the wCDM scenario, the cosmological constant ruled out at more than 3σ in a w0waCDM model and more than 5.7σ evidence for a coupling between Dark Matter and Dark Energy in the IDE scenario. Finally, we check the robustness of our results; and we quote two additional combinations of the Hubble constant. The ultra-conservative estimate, H0 = 72.7 ± 1.1 km s–1 Mpc–1 at 68 per cent CL, is obtained removing the Cepheids-SN Ia and the Time-Delay Lensing based measurements, and confirms the evidence for new physics.
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“…10% systematic uncertainty in 𝑡0 and in the age-redshift relation overall.1 Although Cepheid-based determinations are perhaps the most well-known way to measure 𝐻0 in the local Universe, several different techniques are now being employed (for a recent compilation, see Di Valentino 2021).”
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“G A ] 3 M of the cosmic microwave background (CMB, Di Valentino et al. 2019) or the present expansion rate of the Universe (e.g. Di Valentino 2021, and references therein).”
BackgroundImplications of an Extended Dark Energy Model with Massive Neutrinos
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Sources of H0 -tension in dark energy scenarios
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“This discrepancy is often quoted to be at the 4-6 σ [8, 10] level.”
BackgroundA new binning method to choose a standard set of Quasars
Dainotti, M. G., Lenart, A. Ł., Yengejeh, M. G., Chakraborty, S., Fraija, N. I., Valentino, E. D., & Montani, G. (2024) · Physics of the Dark Universe · doi:10.1016/j.dark.2024.101428 · Cited by 29
Questioning the H 0 tension via the look-back time
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“This mismatch is in fact echoed at a lower discrepancy level by several measurements [5, 6], with the early universe and a ΛCDM model consistently finding a lower H0 [3, 7] than the late universe [8–14].”
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Do the early galaxies observed by JWST disagree with Planck's CMB polarization measurements?
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Quintessential cosmological tensions
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The redshift dependence of the inferred H0 in a local void solution to the Hubble tension
Mazurenko, S., Banik, I., & Kroupa, P. (2024) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stae2758 · Cited by 21
Non-linear matter power spectrum modeling in interacting dark energy cosmologies
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III. Interacting Dark Energy: Summary of models, Pathologies, and Constraints
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A low-redshift preference for an interacting dark energy model
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Hydrodynamical structure formation in Milgromian cosmology
Wittenburg, N., Kroupa, P., Banik, I., Candlish, G., & Samaras, N. (2023) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stad1371 · Cited by 20
A Critical Discussion on the H0 Tension
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Testing the local void hypothesis using baryon acoustic oscillation measurements over the last 20 yr
Banik, I., & Kalaitzidis, V. (2025) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staf781 · Cited by 20
Combining cosmological and local bounds on bimetric theory
Caravano, A., Lüben, M., & Weller, J. (2021) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2021/09/035 · Cited by 23
“4km/s/Mpc, which is in perfect agreement with local determinations of H0 [145].”
Giarè, W., Gómez-Valent, A., Valentino, E. D., & van de Bruck, C. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.109.063516 · Cited by 17
Improved late-time fits with wavelet extensions of ΛCDM
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Constraining modified gravity with weak-lensing peaks
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Thomson scattering: one rate to rule them all
Greene, K., & Cyr-Racine, F.-Y. (2023) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2023/10/065 · Cited by 23
Decay of f ( R ) quintessence into dark matter: Mitigating the Hubble tension?
Montani, G., Escamilla, L. A., Carlevaro, N., & Valentino, E. D. (2025) · Physical review. D/Physical review. D. · doi:10.1103/mn69-1dn6 · Cited by 13
Late-time background constraints on linear and non-linear interacting dark energy after DESI DR2
Figueruelo, D., van der Westhuizen, M. A., Abebe, A., & Valentino, E. D. (2026) · Physics of the Dark Universe · doi:10.1016/j.dark.2026.102238 · Cited by 25
Lifshitz cosmology: quantum vacuum and Hubble tension
Berechya, D., & Leonhardt, U. (2021) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stab2345 · Cited by 12
Redshift-space distortions corner interacting dark energy
Ghedini, P., Hajjar, R., & Mena, O. (2024) · Physics of the Dark Universe · doi:10.1016/j.dark.2024.101671 · Cited by 12
Hubble distancing: focusing on distance measurements in cosmology
Greene, K., & Cyr-Racine, F.-Y. (2022) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2022/06/002 · Cited by 12
“[87, 101, 103, 106, 107, 114, 217–220]), all of the richness and complexity of the distance ladder measurements described in the previous section are reduced to a simple Gaussian constraint on H 0 (see Refs.”
DE Models with Combined H0 · rd from BAO and CMB Dataset and Friends
Staicova, D. (2022) · Universe · doi:10.3390/universe8120631 · Cited by 12
On the absence of backsplash analogues to NGC 3109 in the ΛCDM framework
Banik, I., Haslbauer, M., Pawlowski, M. S., Famaey, B., & Kroupa, P. (2021) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stab751 · Cited by 10
“…also be combined with the severe tensions that ΛCDM faces on cosmological scales with regards to the locally measured expansion rate (Riess 2020; Di Valentino 2021), the unusually low matter density within 300 Mpc (Keenan et al. 2013; Haslbauer et al. 2020), and the too-rapid formation of…”
BackgroundPost-reionization H i 21-cm signal: a probe of negative cosmological constant
Dash, C. B. V., Sarkar, T. G., & Sen, A. A. (2023) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stad3946 · Cited by 11
Sanchez, N. G. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.104.123517 · Cited by 11
Probing Departures from ΛCDM by Late-time Datasets
Chaudhary, H., Sharma, V. K., Capozzıello, S., & Mustafa, G. (2026) · The Astrophysical Journal Supplement Series · doi:10.3847/1538-4365/ae4b3f · Cited by 10
“This includes models involving expansions, parameterizations, or principal component analyses of the equation of state ( EoS ) w ≡ p / ρ of a dark-energy fluid with the pressure p and energy density ρ ( E. V. Linder 1988; M. Chevallier & D. Polarski 2001; E. V. Linder 2003; C.-G. Park et al. 2025 ) .”
InfluentialΛsCDM cosmology from a type-II minimally modified gravity
Akarsu, Ö., Felice, A. D., Valentino, E. D., Kumar, S., Nunes, R. C., Özülker, E., Vazquez, J. A., & Yadav, A. (2025) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staf2276 · Cited by 20
II. Non-linear interacting dark energy: Analytical solutions and theoretical pathologies
van der Westhuizen, M. A., Abebe, A., & Valentino, E. D. (2025) · Physics of the Dark Universe · doi:10.1016/j.dark.2025.102120 · Cited by 10
I. Linear interacting dark energy: Analytical solutions and theoretical pathologies
van der Westhuizen, M. A., Abebe, A., & Valentino, E. D. (2025) · Physics of the Dark Universe · doi:10.1016/j.dark.2025.102119 · Cited by 16
Exploring bulk viscous unified scenarios with gravitational waves standard sirens
Yang, W., Pan, S., Valentino, E. D., Escamilla‐Rivera, C., & Paliathanasis, A. (2023) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stad115 · Cited by 10
Effects of a Late Gravitational Transition on Gravitational Waves and Anticipated Constraints
Perivolaropoulos, L., & Paraskevas, E. A. (2023) · Universe · doi:10.3390/universe9070317 · Cited by 10
Search for Unstable Sterile Neutrinos with the IceCube Neutrino Observatory
Abbasi, R., Ackermann, M., Adams, J., Aguilar, J. A., Ahlers, M., Ahrens, M., Alameddine, J.-M., Junior, A. A. A., Amin, N. M., Andeen, K., et al. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.151801 · Cited by 12
An independent estimate of H(z) at z = 0.5 from the stellar ages of brightest cluster galaxies
Loubser, S. I., Alabi, A., Hilton, M., Ma, Y.-Z., Tang, X., Hatamkhani, N., Cress, C. M., Skelton, R. E., & Nkosi, S. A. (2025) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staf915 · Cited by 9
Dark Energy in the DESI Era: A Brief Review of Evidence, Beyond-ΛCDM Interpretations, and Tensions
Li, T.-N., Du, G., Wang, H., Li, Y.-H., Zhang, J.-F., & Zhang, X. (2026) · Research in Astronomy and Astrophysics · doi:10.1088/1674-4527/ae8429 · Cited by 9
Potentialities of Hubble parameter and expansion rate function data to alleviate Hubble tension
Yang, Y., Lu, X., Qian, L., & Cao, S. (2022) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stac3617 · Cited by 9
MOND-like behavior in the Dirac–Milne universe
Chardin, G., Dubois, Y., Manfredi, G., Miller, B. N., & Stahl, C. (2021) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202140575 · Cited by 9
“…the deviations from local to largescale measurements of the Hubble parameter H0, a question of paramount interest in the present context, where the tensions on this parameter seem to reach or even exceed the 5σ level between “local” and cosmological measurements (Riess 2020; Di Valentino 2021).”
BackgroundRevisiting CPL with sign-switching density: To cross or not to cross the NECB
Gökçen, M., Akarsu, Ö., & Valentino, E. D. (2026) · Physics of the Dark Universe · doi:10.1016/j.dark.2026.102273 · Cited by 23
Leonhardt, U. (2022) · International Journal of Modern Physics A · doi:10.1142/s0217751x22410068 · Cited by 9
“(22) holds exactly, which is almost exactly true, but not quite [20].”
BackgroundMethodInfluentialAspects of Everpresent Λ. Part II. Cosmological tests of current models
Das, S., Nasiri, A., & Yazdi, Y. K. (2024) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2024/10/076 · Cited by 10
Metadata
- Authors
- Di Valentino, E.
- Affiliations
- Institute for Particle Physics Phenomenology, Department of Physics, Durham University, Durham, DH1 3LE, UK
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 2021-01-22
- Volume
- 502
- Issue
- 2
- Pages
- 2065-2073
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W3097756562
- Cited by
- 138
- References
- 120
- Citations by year
- 2026: 10 · 2025: 19 · 2024: 26 · 2023: 31 · 2022: 24 · 2021: 27
- FWCI
- 14.51
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Monthly Notices of the Royal Astronomical Society (publishedVersion, cc-by)
- Durham Research Online (Durham University) (publishedVersion, other-oa)
- arXiv (Cornell University) (acceptedVersion)
- Durham Research Online (Durham University) (acceptedVersion)
- Durham Research Online (Durham University) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- Institute of Advanced Study, Durham University
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Gamma-ray bursts and supernovae
- Keywords
- Hubble constant, Hubble tension, dark energy, masers, Tully-Fisher relation, surface brightness fluctuations, Type II supernovae, standard sirens, gamma-ray attenuation, phantom dark energy, wCDM model, w0waCDM, interacting dark energy, cosmological constant
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