The Hubble-Lemaître constant and sound horizon from low-redshift probes

Abstract

We revisit the claimed tension, or lack thereof, of measured values of the Hubble-Lemaître parameter $H_0$ from Cosmic Microwave Background (CMB) data and low-redshift indicators. Baryon Acoustic Oscillations (BAO) rely on the scale of the sound horizon at recombination $r_s$ to convert angular measurements into angular-diameter distances, so fixing $r_s$ from CMB measurements already constrains $H_0.$ If departures from concordance cosmology are to be constrained, truly independent measurements of $H_0$ are needed. We use the angular-diameter distances to three time-delay lenses from the H0LiCOW collaboration to calibrate the distance ladder, combine them with relative distances from Supernovae Ia and BAO, leaving $r_s$ completely free, and provide the inferred coefficients ($q_0,j_0,s_0$) in the polynomial expansion of H(z). We obtain $H_0{r}_s=(9895\pm 161)$km/s and $H_0=(72\pm 7)$km/s/Mpc. Combined with $H_0$ from H0LiCOW, then $r_s=(137\pm 4.5)$Mpc is consistent with previous work and systematically lower than the CMB-inferred value. Our results are independent of the adopted cosmology, and removing Supernovae with z<0.1 has a negligible effect.

6 pages, 2 figures, 2 tables; published in MNRAS