High redshift <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e640" altimg="si82.svg"><mml:mi>Λ</mml:mi></mml:math>CDM cosmology: To bin or not to bin?

Colgáin, Eoin Ó; Sheikh-Jabbari, M. M.; Solomon, Rance

doi:10.1016/j.dark.2023.101216

Cited by 13 publications

(4 citation statements)

References 76 publications

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“…We show the results in Figure 13. Interestingly, in the case of our mock data, we find that the Hubble constant H 0 does not evolve with redshift in the redshift interval as mentioned in Colgáin et al (2023). This intriguing phenomenon has been observed in two distinct data sets, each analyzed independently.…”

Section: Discussionsupporting

confidence: 70%

“…We show the results in Figure 15. Interestingly, in the case of our mock data, we also find that the Hubble constant H 0 does not evolve with redshift in the redshift interval as mentioned in Colgáin et al (2023).…”

Section: Appendix B the Methods Of Alleviating H 0 Tensionssupporting

confidence: 72%

“…It is widely recognized that numerous cosmological models encounter tensions when formulated at both high and low redshifts. In order to address this issue, numerous researchers are actively exploring cosmographic methodologies that can effectively reconcile early and late epochs (Capozziello et al 2020(Capozziello et al , 2022Krishnan et al 2021;Colgáin et al 2023). The ΛCDM model is largely only extensively examined in the darkenergy-dominated regime (z  1) and at significantly high redshifts (z ∼ 1100).…”

Section: Appendix a The Methods Of Alleviating The Model's Tensionsmentioning

confidence: 99%

“…However, there remains a considerable range of redshifts that have yet to be investigated in order to validate or challenge the model. According to the redshift bin method mentioned in (Colgáin et al 2023), and combining it with the redshift interval of our mock data generated when verifying formula (8), we divide the data into four bins, with sub-bins defined by the intervals [0,0.8], [0.8,1.5], [1.5,2.3], and [2.3,4]. In order to constrain cosmological parameters, we make the assumption that the priors for H 0 , Ω m0 , and σ 8 are within the ranges of [0, 100], [0, 1], and [0, 1] respectively.…”

Section: Appendix a The Methods Of Alleviating The Model's Tensionsmentioning

confidence: 99%

See 3 more Smart Citations

Novel Cosmological Joint Constraints in Multidimensional Observable Space with Redshift-free Inferences

Hong,

Jiao,

Wang

et al. 2023

ApJS

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Cosmology constraints serve as a crucial criterion in discriminating cosmological models. The traditional combined method to constrain the cosmological parameters designates the corresponding theoretical value and observational data as functions of redshift; however, sometimes the redshift cannot be measured directly, or the measurement error is large, or the definition of redshift is controversial. In this paper, we propose a novel joint method to constrain parameters that eliminates the redshift z and makes full use of the multiple observables  1 , obs ,  2 , obs , ⋯ ,  M , obs spanning in M-dimensional joint observable space. Considering the generality of the mathematical form of the cosmological models and the guidance from low to high dimensions, we first validate our method in a 3D joint observable space spanned by H(z), f σ 8(z), and D A (z), where the three coordinates can be considered redshift-free measurements of the same celestial body (or shared-redshift data-reconstructed model independently). Our results are consistent with the traditional combined method but with lower errors, yielding H 0 = 68.7 ± 0.1 km s−1 Mpc−1, Ω m0 = 0.289 ± 0.003, and σ 8 = 0.82 ± 0.01 and showing alleviated parametric degeneracies to some extent. In principle, our joint constraint method allows an extended form keeping the redshift information as an independent coordinate and can also be readily degraded to the form of a traditional combined method to constrain parameters.

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Section: Discussionsupporting

confidence: 70%

Section: Appendix B the Methods Of Alleviating H 0 Tensionssupporting

confidence: 72%