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

Abstract

In the advent of large scale surveys, individually modelling strong-gravitational lenses and their counterpart time-delays in order to precisely measure $H_0$ will become computationally expensive, and highly complex. A complimentary approach is to study the cumulative distribution function (CDF) of time-delays where the global population of lenses is modelled along with $H_0$. In this paper we use a suite of hydro-dynamical simulations to estimate the CDF of time-delays from doubly-imaged quasars for a realistic distribution of lenses. We find that the CDFs exhibit large amounts of halo-halo variance, regulated by the density profile inner slope and the total mass within $5$kpc. With the objective of fitting to data, we compress the CDFs using Principal Component Analysis and fit a Gaussian Processes Regressor consisting of three physical features: the redshift of the lens, $z_{\mathrm{L}}$; the power law index of the halo, $\alpha$, and the mass within $5$kpc, plus four cosmological features. Assuming a flat Universe, we fit our model to 27 doubly-imaged quasars finding $H_0=71_{-3}^{+2}$km/s/Mpc, $z_{\mathrm{L}}=0.36_{-0.09}^{+0.2}$, $\alpha =-1.8_{-0.1}^{+0.1}$, $\log (M(<5$kpc$)/M_{\odot })=11.1_{-0.1}^{+0.1}$, ${\Omega }_{\mathrm{M}}=0.3_{-0.04}^{+0.04}$ and ${\Omega }_{\mathrm{\Lambda }}=0.7_{-0.04}^{+0.04}$. We compare our estimates of $z_{\mathrm{L}}$ and $\log (M(<5$kpc$)/M_{\odot })$ to the data and find that within the sensitivity of the data, they are not systematically biased. We generate mock CDFs and find with that the Vera Rubin Observatory (VRO) could measure $\sigma /H_0$ to $<3\%$, limited by the precision of the model. If we are to exploit fully VRO, we require simulations that sample a larger proportion of the lens population, with a variety of feedback models, exploring all possible systematics.

arXiv commenthttps://www.youtube.com/watch?v=8PFgmXI8g0o ---------------------------- https://www.universiteitleiden.nl/en/news/2020/11/universe-expansion-speed-measured-in-bending-starlight

References in corpus (59)

• The EAGLE project: Simulating the evolution and assembly of galaxies and their environments
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• Populating a cluster of galaxies - I. Results at z=0
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• The EAGLE simulations of galaxy formation: calibration of subgrid physics and model variations
• Substructures in hydrodynamical cluster simulations
• The trouble with $H_0$
• The Sloan Lens ACS Survey. IV: the mass density profile of early-type galaxies out to 100 effective radii
• H0LiCOW V. New COSMOGRAIL time delays of HE0435-1223: $H_0$ to 3.8% precision from strong lensing in a flat $\Lambda$CDM model
• Gravitational Lensing
• Gravitationally lensed quasars and supernovae in future wide-field optical imaging surveys
• H0LiCOW - IX. Cosmographic analysis of the doubly imaged quasar SDSS 1206+4332 and a new measurement of the Hubble constant
• Fast Automated Analysis of Strong Gravitational Lenses with Convolutional Neural Networks
• Time Delay Cosmography
• Bimodality of low-redshift circumgalactic O VI in non-equilibrium EAGLE zoom simulations
• Reducing the $H_0$ and ${\sigma }_8$ tensions with Dark Matter-neutrino interactions
• Gravitational Lens Time Delays: A Statistical Assessment of Lens Model Dependences and Implications for the Global Hubble Constant
• Disentangling Baryons and Dark Matter in the Spiral Gravitational Lens B1933+503
• Strong Lens Time Delay Challenge: II. Results of TDC1
• The Time Delay in the Gravitational Lens PKS 1830-211
• A New Channel for Detecting Dark Matter Substructure in Galaxies: Gravitational Lens Time Delays
• AutoLens: Automated Modeling of a Strong Lens's Light, Mass and Source
• Is every strong lens model unhappy in its own way? Uniform modelling of a sample of 13 quadruply+ imaged quasars
• Microlensing Makes Lensed Quasar Time Delays Significantly Time Variable
• The impact of baryonic physics on the subhalo mass function and implications for gravitational lensing
• An Optical Time-Delay for the Lensed BAL Quasar HE2149-2745
• COSMOGRAIL XIX: Time delays in 18 strongly lensed quasars from 15 years of optical monitoring
• Time delay and lens redshift for the doubly imaged BAL quasar SBS1520+530
• The Scaling of Stellar Mass and Central Stellar Velocity Dispersion for Quiescent galaxies at z < 0.7
• Improving the precision of time-delay cosmography with observations of galaxies along the line of sight
• COSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses VII. Time delays and the Hubble constant from WFI J2033-4723
• The inner structure of early-type galaxies in the Illustris simulation
• Determining Model-independent $H_0$ and Consistency Tests
• Strong Gravitational Lensing Time Delay Statistics and the Density Profile of Dark Halos
• Cosmological Constraints from Gravitational Lens Time Delays
• A new stochastic approach to cumulative weak lensing
• COSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses XII. Time delays of the doubly lensed quasars SDSS J1206+4332 and HS 2209+1914
• An optical time delay for the double gravitational lens system FBQ 0951+2635
• COSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses XIV. Time delay of the doubly lensed quasar SDSS J1001+5027
• Time-delay cosmographic forecasts with strong lensing and JWST stellar kinematics
• H0LiCOW VIII. A weak lensing measurement of the external convergence in the field of the lensed quasar HE0435$-$1223
• Quasar UV luminosity function evolution up to z=8
• Accurate Modeling of Weak Lensing with the sGL Method
• Observational selection biases in time-delay strong lensing and their impact on cosmography
• Line-of-sight effects in strong lensing: Putting theory into practice
• Further Investigation of the Time Delay, Magnification Ratios, and Variability in the Gravitational Lens 0218+357
• Total density profile of massive early-type galaxies in Horizon-AGN simulation: impact of AGN feedback and comparison with observations
• SNe observations in a meatball universe with a local void
• The lensing properties of subhaloes in massive elliptical galaxies in sterile neutrino cosmologies
• Time Delays in the Gravitationally Lensed Quasar H1413+117 (Cloverleaf)
• Unified lensing and kinematic analysis for any elliptical mass profile
• Gravitational lens system SDSS J1339+1310: microlensing factory and time delay
• Time delay between images of the lensed quasar UM673
• The rates and time-delay distribution of multiply imaged supernovae behind lensing clusters
• First case of strong gravitational lensing by a QSO : SDSS J0013+1523 at z = 0.120
• Exploiting flux ratio anomalies to probe warm dark matter in future large scale surveys
• Gravitationally Lensed Quasar SDSS J1442+4055: Redshifts of Lensing Galaxies, Time Delay, Microlensing Variability, and Intervening Metal System at z ~ 2
• Baryon effects on the dark matter halos constrained from strong gravitational lensing

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