Full-covariance Omega-m sensitivity of Pantheon+ Hubble-flow supernovae: a null-test validated analysis

Key Points

• The aim is to assess the sensitivity of Omega_m using the Pantheon+ Hubble-flow supernova sample with a thorough covariance analysis.
• Analysis of the Pantheon+ Hubble-flow sample, N=492, with 0.023 <= z <= 0.15
• Full Cstat+sys covariance applied and M treated as a free parameter
• Methodology changes from previous analyses include revised redshift selection and new covariance approaches.
• Achieved a full-covariance analysis showing a null result, validating the null-test methodology.
• Confirmed that the sensitivity to Omega_m is consistent across the defined redshift range.
• Demonstrated that methodological tweaks led to rigorous statistical assessment.