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Table 3.

Summary of the tension metrics considered in this work.

Probe T(S8) H(S8) pS(S8)
Fiducial (flat ΛCDM)
  Cosmic shear 2.8σ 3.1σ 3.2σ
  Galaxy clustering 2.1σ 2.1σ 2.1σ
  3 × 2 pt 3.1σ 3.1σ 3.1σ
Fix As (Sect. 4.1)
  Cosmic shear 2.9σ 2.8σ 2.9σ
  3 × 2 pt 2.9σ 2.9σ 3.0σ
SNe (Sect. 4.2)
  Cosmic shear 3.0σ 3.0σ 3.0σ
  3 × 2 pt 3.1σ 3.1σ 3.0σ
CMB lensing (Sect. 4.2)
  Cosmic shear 3.0σ 3.1σ 3.0σ
  3 × 2 pt 2.8σ 2.8σ 2.8σ
oΛCDM (Sect. 4.3)
  Cosmic shear 2.4σ 2.5σ 2.6σ
  Galaxy clustering 2.4σ 2.4σ 2.6σ
  3 × 2 pt 3.3σ 2.9σ 3.0σ
νΛCDM (Sect. 4.4)
  Cosmic shear 2.8σ 2.9σ 2.9σ
  Galaxy clustering 1.8σ 1.8σ 1.8σ
  3 × 2 pt 3.4σ 3.4σ 3.3σ
wCDM (Sect. 4.5)
  Cosmic shear 1.3σ 1.3σ 1.3σ
  Galaxy clustering 2.1σ 2.1σ 2.1σ
  3 × 2 pt 1.8σ 1.8σ 1.7σ
Baryon model (Appendix A)
  Cosmic shear 2.3σ 2.4σ 2.5σ
  3 × 2 pt 2.9σ 2.9σ 2.9σ

Notes. The first column lists the probes and models under consideration in this work. The last three columns list the tension in S8 with Planck TTTEEE+lowE data using the tension metric T(θ) (Eq. (6)), the Hellinger distance (Eq. (7)), and the parameter shift distribution (Eq. (8)).

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