Statistical Test of Distance–Duality Relation with Type Ia Supernovae and Baryon Acoustic Oscillations
Résumé
We test the distance–duality relation between cosmological luminosity distance () from the JLA SNe Ia compilation and angular-diameter distance () based on Baryon Oscillation Spectroscopic Survey (BOSS) and WiggleZ baryon acoustic oscillation measurements. The measurements are matched to redshift by a statistically consistent compression procedure. With Monte Carlo methods, nontrivial and correlated distributions of η can be explored in a straightforward manner without resorting to a particular evolution template . Assuming independent constraints on cosmological parameters that are necessary to obtain and values, we find 9% constraints consistent with η = 1 from the analysis of SNIa + BOSS and an 18% bound results from SNIa + WiggleZ. These results are contrary to previous claims that η < 1 has been found close to or above the 1σ level. We discuss the effect of different cosmological parameter inputs and the use of the apparent deviation from distance–duality as a proxy of systematic effects on cosmic distance measurements. The results suggest possible systematic overestimation of SNIa luminosity distances compared with data when a Planck ΛCDM cosmological parameter inference is used to enhance the precision. If interpreted as an extinction correction due to a gray dust component, the effect is broadly consistent with independent observational constraints.
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