H0LiCOW – V. New COSMOGRAIL time delays of HE 0435−1223:H0to 3.8 per cent precision from strong lensing in a flat ΛCDM model
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We present a new measurement of the Hubble Constant H0 and other cosmological parameters based on the joint analysis of three multiply imaged quasar systems with measured gravitational time delays. First, we measure the time delay of HE 0435−1223 from 13-yr light curves obtained as part of the COSMOGRAIL project. Companion papers detail the modelling of the main deflectors and line-of-sight effects, and how these data are combined to determine the time-delay distance of HE 0435−1223. Crucially, the measurements are carried out blindly with respect to cosmological parameters in order to avoid confirmation bias. We then combine the time-delay distance of HE 0435−1223 with previous measurements from systems B1608+656 and RXJ1131−1231 to create a Time Delay Strong Lensing probe (TDSL). In flat Λ cold dark matter (ΛCDM) with free matter and energy density, we find H0|$=71.9^{+2.4}_{-3.0}\ {\rm km\, s^{-1}\, Mpc^{-1}}$| and |$\Omega _{\Lambda }=0.62^{+0.24}_{-0.35}$|. This measurement is completely independent of, and in agreement with, the local distance ladder measurements of H0. We explore more general cosmological models combining TDSL with other probes, illustrating its power to break degeneracies inherent to other methods. The joint constraints from TDSL and Planck are H0 = |$69.2_{-2.2}^{+1.4}\ {\rm km\, s^{-1}\, Mpc^{-1}}$|, |$\Omega _{\Lambda }=0.70_{-0.01}^{+0.01}$| and |$\Omega _{\rm k}=0.003_{-0.006}^{+0.004}$| in open ΛCDM and H0|$=79.0_{-4.2}^{+4.4}\ {\rm km\, s^{-1}\, Mpc^{-1}}$|, |$\Omega _{\rm de}=0.77_{-0.03}^{+0.02}$| and |$w=-1.38_{-0.16}^{+0.14}$| in flat wCDM. In combination with Planck and baryon acoustic oscillation data, when relaxing the constraints on the numbers of relativistic species we find Neff = |$3.34_{-0.21}^{+0.21}$| in NeffΛCDM and when relaxing the total mass of neutrinos we find Σmν ≤ 0.182 eV in mνΛCDM. Finally, in an open wCDM in combination with Planck and cosmic microwave background lensing, we find H0|$=77.9_{-4.2}^{+5.0}\ {\rm km\, s^{-1}\, Mpc^{-1}}$|, |$\Omega _{\rm de}=0.77_{-0.03}^{+0.03}$|, |$\Omega _{\rm k}=-0.003_{-0.004}^{+0.004}$| and |$w=-1.37_{-0.23}^{+0.18}$|.
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Time delays of galaxy-scale lensed quasars will allow measurement of Hubble's constant in hundreds of systems, with subpercent precision in H(z) achievable.
“Time delays of galaxy-scale lensed quasars will allow one to measure Hubble ' s constant ( e.g., Suyu et al. 2010; Bonvin et al. 2017 ) in hundreds of systems; subpercentlevel precision in H ( z ) should be achievable ( Coe & Moustakas 2009; Treu & Marshall 2016 ) , providing a further independent dark energy probe.”
From LSST: From Science Drivers to Reference Design and Anticipated Data Products (2019) · cites this paper as Bonvin et al. 2017
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Self-citationDisentangling Baryons and Dark Matter in the Spiral Gravitational Lens B1933+503
Suyu, S. H., Hensel, S. W., McKean, J. P., Fassnacht, C. D., Treu, T., Halkola, A., Norbury, M. A., Jackson, N. J., Schneider, P., Thompson, D., et al. (2012) · University of North Texas Digital Library (University of North Texas) · Cited by 81 · see citing works
Self-citationDegeneracies and scaling relations in general power-law models for gravitational lenses
Wucknitz, O. (2002) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2002.05426.x · Cited by 80 · see citing works
Fast and accurate CMB computations in non-flat FLRW universes
Julien Lesgourgues, A., & Tram, T. (2014) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2014/09/032 · Cited by 79 · see citing works
IPTF16geu: A multiply imaged, gravitationally lensed type ia supernova
Goobar, A., Amanullah, R., Kulkarni, Sr., Nugent, P., Johansson, J., Steidel, C., Law, D. R., Mörtsell, E., Quimby, R., Blagorodnova, N., et al. (2017) · eScholarship (California Digital Library) · Cited by 79 · see citing works
COSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses
Eigenbrod, A., Courbin, F., Meylan, G., Vuissoz, C., & Magain, P. (2006) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20054454 · Cited by 79 · see citing works
Self-citationCOSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses
Bonvin, V., Tewes, M., Courbin, F., Kuntzer, T., Sluse, D., & Meylan, G. L. (2015) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201526704 · Cited by 75 · see citing works
Self-citationSource-position transformation: an approximate invariance in strong gravitational lensing
Schneider, P., & Sluse, D. (2014) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201322106/pdf · Cited by 73 · see citing works
Self-citationBounded optimal knots for regression splines
Molinari, N., Durand, J.-F., & Sabatier, R. (2003) · Computational Statistics & Data Analysis · doi:10.1016/s0167-9473(02)00343-2 · Cited by 68 · see citing works
Galaxy number counts and implications for strong lensing
Fassnacht, C. D., Koopmans, L. V. E., & Wong, K. C. (2010) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2010.17591.x · Cited by 64 · see citing works
Self-citationCOSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses
Eulaers, E., Tewes, M., Magain, P., et al. (2013) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201321140 · Cited by 64 · see citing works
Self-citationThe Lens Redshift and Galaxy Environment for HE 0435-1223
Morgan, N. D., Kochanek, C. S., Pevunova, O., & Schechter, P. L. (2005) · The Astronomical Journal · doi:10.1086/430145 · Cited by 63 · see citing works
COSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses
Eigenbrod, A., Courbin, F., Dye, S., et al. (2006) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20054423 · Cited by 63 · see citing works
Self-citationMicrolensing of the broad line region in 17 lensed quasars
Sluse, D., Hutsemékers, D., Courbin, F., Meylan, G., & Wambsganß, J. (2012) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201219125/pdf · Cited by 62 · see citing works
Self-citationChen, G. C.-F., Suyu, S. H., Wong, K. C., Fassnacht, C. D., Chiueh, T., Halkola, A., Hu, I.-S., Auger, M. W., Koopmans, L. V. E., Lagattuta, D. J., et al. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw991 · Cited by 60 · see citing works
Self-citationCOSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses
Kumar, S., Tewes, M., Stalin, C. S., et al. (2013) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201322116 · Cited by 60 · see citing works
Self-citationSTRONG LENS TIME DELAY CHALLENGE. I. EXPERIMENTAL DESIGN
Dobler, G., Fassnacht, C. D., Treu, T., Marshall, P. J., Liao, K., Hojjati, A., Linder, E. V., & Rumbaugh, N. (2015) · The Astrophysical Journal · doi:10.1088/0004-637x/799/2/168 · Cited by 56 · see citing works
Self-citationTHE OPTICAL, ULTRAVIOLET, AND X-RAY STRUCTURE OF THE QUASAR HE 0435–1223
Blackburne, J. A., Kochanek, C. S., Chen, B., et al. (2014) · The Astrophysical Journal · doi:10.1088/0004-637x/789/2/125 · Cited by 54 · see citing works
Degeneracies and scaling relations in general power-law models for gravitational lenses
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THE MID-INFRARED TULLY-FISHER RELATION: CALIBRATION OF THE TYPE Ia SUPERNOVA SCALE AND H 0
Sorce, J. G., Tully, R. B., & Courtois, H. M. (2012) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/758/1/l12 · Cited by 44 · see citing works
Microlensing of the broad-line region in the quadruply imaged quasar HE0435-1223
Braibant, L., Hutsemékers, D., Sluse, D., Anguita, T., & García-Vergara, C. (2014) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201423633 · Cited by 40 · see citing works
Self-citationEigenbrod, A., Courbin, F., Dye, S., et al. (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.astro-ph/0510641 · Cited by 37 · see citing works
Self-citationEigenbrod, A., Courbin, F., Meylan, G. L., Vuissoz, C., Magain, P., & . (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.astro-ph/0511026 · Cited by 35 · see citing works
Self-citationCOSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses
Courbin, F., Eigenbrod, A., Vuissoz, C., et al. (2004) · Proceedings of the International Astronomical Union · doi:10.1017/s1743921305002097 · Cited by 35 · see citing works
Self-citationAmbiguities in gravitational lens models: the density field from the source position transformation
Unruh, S., Schneider, P., & Sluse, D. (2017) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201629048/pdf · Cited by 34 · see citing works
Self-citationFiredec: a two-channel finite-resolution image deconvolution algorithm
Cantale, N., Courbin, F., Tewes, M., Jablonka, P., & Meylan, G. (2016) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201424003 · Cited by 32 · see citing works
Self-citationA SPECTROSCOPIC SURVEY OF THE FIELDS OF 28 STRONG GRAVITATIONAL LENSES
Momcheva, I. G., Williams, K. A., Cool, R. J., Keeton, C. R., & Zabludoff, A. I. (2015) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/219/2/29 · Cited by 31 · see citing works
Microlensing of the broad-line region in the quadruply imaged quasar HE0435-1223
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Self-citationSluse, D., & Tewes, M. (2014) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201424776 · Cited by 17 · see citing works
Self-citationSpectroscopy and high-resolution imaging of the gravitational lens SDSS J1206+4332
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Self-citationSluse, D., & Tewes, M. (2014) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201424776/pdf · Cited by 11 · see citing works
Self-citationCLASS: Cosmic Linear Anisotropy Solving System
Blas, D., Lesgourgues, J., & Tram, T. (2011) · Cited by 4 · see citing works
Flagged first, then by citations
Research works printed but not linked: 3
- Birrer S., Amara A., Refregier A., 2015, preprint, (arXiv:1511.03662) · arXiv
- Planck Collaboration et al., 2015a, ArXiv1502.01589, Planck Collaboration et al., 2015b, ArXiv1502.01591, Planck Collaboration et al., 2015c, preprint, (arXiv:1502.01593) · arXiv
- Treu T., Marshall P. J., 2016, A&ARv, in press,
Cited by
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LSST: From Science Drivers to Reference Design and Anticipated Data Products
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Self-citationIn the realm of the Hubble tension—a review of solutions <sup>*</sup>
Di Valentino, E., Mena, O., Pan, S., Visinelli, L., Yang, W., Melchiorri, A., Mota, D. F., Riess, A. G., & Silk, J. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac086d · Cited by 2,065 · see citing works
CMU DeepLens: deep learning for automatic image-based galaxy–galaxy strong lens finding
Lanusse, F., Ma, Q., Li, N., Collett, T. E., Li, C.-L., Ravanbakhsh, S., Mandelbaum, R., & Póczos, B. (2018) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stx1665 · Cited by 191 · see citing works
Self-citationFinding strong lenses in CFHTLS using convolutional neural networks
Jacobs, C., Glazebrook, K., Collett, T., More, A., & McCarthy, C. (2017) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stx1492 · Cited by 133 · see citing works
Self-citationGoldstein, D. A., Nugent, P. E., Kasen, D. N., & Collett, T. E. (2018) · The Astrophysical Journal · doi:10.3847/1538-4357/aaa975 · Cited by 96 · see citing works
Self-citationThe Hubble constant from eight time-delay galaxy lenses
Denzel, P., Coles, J. P., Saha, P., & Williams, L. L. R. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa3603 · Cited by 60 · see citing works
Yang, T., Birrer, S., & Hu, B. (2020) · Monthly Notices of the Royal Astronomical Society: Letters · doi:10.1093/mnrasl/slaa107 · Cited by 38 · see citing works
Abdalla, E., Abellán, G. F., Aboubrahim, A., Agnello, A., Akarsu, Ö., Akrami, Y., Alestas, G., Aloni, D., Amendola, L., Anchordoqui, L. A., et al. (2022) · Journal of High Energy Astrophysics · doi:10.1016/j.jheap.2022.04.002 · Cited by 37 · see citing works
Self-citationCañameras, R., Schuldt, S., Shu, Y., Suyu, S. H., Taubenberger, S., Andika, I. T., Bag, S., Inoue, K. T., Jaelani, A. T., Leal-Taixé, L., et al. (2024) · Astronomy & Astrophysics · doi:10.1051/0004-6361/202347072 · Cited by 19 · see citing works
Self-citationThe $$H_0$$ Tensions to Discriminate Among Concurring Models
Di Valentino, E. (2021) · Modified Gravity and Cosmology · doi:10.1007/978-3-030-83715-0_32 · Cited by 2 · see citing works
- Authors
- Bonvin, V., Courbin, F., Suyu, S. H., Marshall, P. J., Rusu, C. E., Sluse, D., Tewes, M., Wong, K. C., Collett, T., Fassnacht, C. D., Treu, T., Auger, M. W., Hilbert, S., Koopmans, L. V. E., Meylan, G., Rumbaugh, N., Sonnenfeld, A., & Spiniello, C.
- Affiliations
- École Polytechnique Fédérale de Lausanne (CH)
- Institute of Astronomy and Astrophysics, Academia Sinica (TW)
- Kavli Institute for Particle Astrophysics and Cosmology (US)
- University of California, Davis (US)
- University of Liège (BE)
- University of Bonn (DE)
- University of Portsmouth (GB)
- University of California, Los Angeles (US)
- University of Cambridge (GB)
- Excellence Cluster Universe (DE)
- University of Groningen (NL)
- University of California, Santa Barbara (US)
- Max Planck Institute for Astrophysics (DE)
- Corresponding author
- Bonvin, V.
- ORCID
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 2016-11-22
- Volume
- 465
- Issue
- 4
- Pages
- 4914-4930
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W2497600269
- Cited by
- 457
- References
- 106
- Citations by year
- 2026: 13 · 2025: 20 · 2024: 26 · 2023: 35 · 2022: 31 · 2021: 38 · 2020: 59 · 2019: 77 · 2018: 84 · 2017: 65 · 2016: 9
- FWCI
- 37.46
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Monthly Notices of the Royal Astronomical Society (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- ORBi (University of Liège) (submittedVersion, other-oa)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion, cc-by-nc-nd)
- University of Groningen research database (University of Groningen / Centre for Information Technology) (submittedVersion, other-oa)
- Zenodo (CERN European Organization for Nuclear Research) (submittedVersion, cc-by-nc)
- arXiv (Cornell University)
- Funders
- Ministry of Science and Technology (MOST-103-2112-M-001-003-MY3)
- NSF (AST-1312329, GO-12889, AST-1450141)
- DFG (Hi 1495/2-1)
- NASA (NAS 5-26555)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
- Keywords
- Hubble constant, strong gravitational lensing, time-delay cosmography, HE 0435-1223, multiply imaged quasars, time-delay distance, dark energy, cosmological parameters, confirmation bias
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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