Cumulative Distribution Function of Time-Delays from doubly-imaged Quasars

A 4% measurement of $H_0$ using the cumulative distribution of strong-lensing time delays in doubly-imaged quasars

We use a suite of hydro-dynamical simulations to estimate the cumulative distribution function (cdf) of time-delays from doubly-imaged quasars for a realistic distribution of strong-gravitational lenses.We find that the cdf exhibits large amounts of halo-halo variance, regulated by the density profile inner slope and the total mass within.We compress the cdfs using principal component analysis and fit a gaussian processes regressorconsisting of three physical features: the redshift of the lens, the power law index of the halo, and the mass within plus plus four cosmological features.