Hubble Constant Measurement from Three Large-Separation Quasars Strongly Lensed by Galaxy Clusters
First author: Kate Napier
Tension between cosmic microwave background-based and distance ladder-based determinations of the Hubble constant H0 motivates pursuit of independent methods that are not subject to the same systematic effects. A promising alternative, proposed by Refsdal in 1964, relies on the inverse scaling of H0 with the delay between the arrival times of at least two images of a strongly-lensed variable source such as a quasar. To date, Refsdal’s method has mostly been applied to quasars lensed by individual galaxies rather than by galaxy clusters. Using the three quasars strongly lensed by galaxy clusters (SDSS J1004+4112, SDSS J1029+2623, and SDSS J2222+2745) that have both multiband Hubble Space Telescope data and published time delay measurements, we derive H0, accounting for the systematic and statistical sources of uncertainty. While a single time delay measurement does not yield a well-constrained H0 value, analyzing the systems together tightens the constraint. Combining the six time delays measured in the three cluster-lensed quasars gives H0 = 71.5 +/- 6.1 km/s/Mpc. To reach 1% uncertainty in H0, we estimate that a sample size of order of 500 time delay measurements of similar quality as those from SDSS J1004+4112, SDSS J1029+2623, and SDSS J2222+2745 would be needed. Improving the lens modeling uncertainties by a factor of two may reduce the needed sample size to 120 time delays, potentially reachable in the next decade.