Addressing the H0 tension through matter with pressure and no early dark energy

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Volume 707 (March 2026)

A&A, 707 (2026) A383

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Table 3.

MCMC results for Λ_{ω_s}CDM and ΛCDM models.

Parameter	Λ_{ω_s}CDM	ΛCDM
100 ω_b	$2 . 271_{- 0.014 (0.029)}^{+ 0.015 (0.029)}$ $Mathematical equation: $ 2.271^{+0.015(0.029)}_{-0.014(0.029)} $$	$2 . 265_{- 0.013 (0.026)}^{+ 0.013 (0.026)}$ $Mathematical equation: $ 2.265^{+0.013(0.026)}_{-0.013(0.026)} $$
ω_cdm	$0 . 1278_{- 0.0028 (0.0054)}^{+ 0.0027 (0.0055)}$ $Mathematical equation: $ 0.1278^{+0.0027(0.0055)}_{-0.0028(0.0054)} $$	$0 . 1171_{- 0.0006 (0.0013)}^{+ 0.0006 (0.0013)}$ $Mathematical equation: $ 0.1171^{+0.0006(0.0013)}_{-0.0006(0.0013)} $$
H₀ (km/s/Mpc)	$71 . 51_{- 0.74 (1.46)}^{+ 0.72 (1.43)}$ $Mathematical equation: $ 71.51^{+0.72(1.43)}_{-0.74(1.46)} $$	$68 . 88_{- 0.29 (0.58)}^{+ 0.29 (0.58)}$ $Mathematical equation: $ 68.88^{+0.29(0.58)}_{-0.29(0.58)} $$
10⁹A_s	$2 . 122_{- 0.036 (0.067)}^{+ 0.031 (0.069)}$ $Mathematical equation: $ 2.122^{+0.031(0.069)}_{-0.036(0.067)} $$	$2 . 123_{- 0.034 (0.066)}^{+ 0.032 (0.067)}$ $Mathematical equation: $ 2.123^{+0.032(0.067)}_{-0.034(0.066)} $$
n_s	$0 . 9814_{- 0.0048 (0.0086)}^{+ 0.0040 (0.0090)}$ $Mathematical equation: $ 0.9814_{-0.0048(0.0086)}^{+0.0040(0.0090)} $$	$0 . 9728_{- 0.0039 (0.0069)}^{+ 0.0034 (0.0069)}$ $Mathematical equation: $ 0.9728_{-0.0039(0.0069)}^{+0.0034(0.0069)} $$
τ_reio	$0 . 060_{- 0.007 (0.015)}^{+ 0.008 (0.016)}$ $Mathematical equation: $ 0.060^{+0.008(0.016)}_{-0.007(0.015)} $$	$0 . 064_{- 0.008 (0.015)}^{+ 0.007 (0.016)}$ $Mathematical equation: $ 0.064^{+0.007(0.016)}_{-0.008(0.015)} $$
ω_s	$0 . 294_{- 0.004 (0.023)}^{+ 0.014 (0.015)}$ $Mathematical equation: $ 0.294_{-0.004(0.023)}^{+0.014(0.015)} $$	−
10⁵Ω_s	$1 . 62_{- 0.56 (0.91)}^{+ 0.36 (1.02)}$ $Mathematical equation: $ 1.62_{-0.56(0.91)}^{+0.36(1.02)} $$	−
r_s(z_★) (Mpc)	$139 . 9_{- 1.2 (2.4)}^{+ 1.2 (2.4)}$ $Mathematical equation: $ 139.9^{+1.2(2.4)}_{-1.2(2.4)} $$	$145 . 1_{- 0.2 (0.3)}^{+ 0.2 (0.4)}$ $Mathematical equation: $ 145.1^{+0.2(0.4)}_{-0.2(0.3)} $$
σ₈	$0 . 829_{- 0.008 (0.016)}^{+ 0.008 (0.016)}$ $Mathematical equation: $ 0.829^{+0.008(0.016)}_{-0.008(0.016)} $$	$0 . 808_{- 0.007 (0.013)}^{+ 0.006 (0.013)}$ $Mathematical equation: $ 0.808^{+0.006(0.013)}_{-0.007(0.013)} $$
Ω_m	$0 . 296_{- 0.004 (0.007)}^{+ 0.004 (0.007)}$ $Mathematical equation: $ 0.296^{+0.004(0.007)}_{-0.004(0.007)} $$	$0 . 296_{- 0.004 (0.007)}^{+ 0.004 (0.007)}$ $Mathematical equation: $ 0.296^{+0.004(0.007)}_{-0.004(0.007)} $$
S₈	$0 . 823_{- 0.010 (0.019)}^{+ 0.009 (0.019)}$ $Mathematical equation: $ 0.823_{-0.010(0.019)}^{+0.009(0.019)} $$	$0 . 803_{- 0.008 (0.016)}^{+ 0.008 (0.016)}$ $Mathematical equation: $ 0.803^{+0.008(0.016)}_{-0.008(0.016)} $$
100 θ_s	$1 . 0433_{- 0.0004 (0.0008)}^{+ 0.0004 (0.0008)}$ $Mathematical equation: $ 1.0433^{+0.0004(0.0008)}_{-0.0004(0.0008)} $$	$1 . 0422_{- 0.0003 (0.0006)}^{+ 0.0003 (0.0006)}$ $Mathematical equation: $ 1.0422^{+0.0003(0.0006)}_{-0.0003(0.0006)} $$
χ²(Δχ²)	4093.06(−22.42)	4115.48(0)
Δlog B	+6.2	0

Notes. The mean values with 1σ (2σ) errors are obtained by fitting SN Ia, BAO, and CMB datasets. Here, we also report the best-fit χ² and the Bayesian evidence.

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