High redshift Type Ia supernovae (SNe Ia) are likely to be gravitationally lensed by dark matter haloes of galaxies in the foreground. Since SNe Ia have very small dispersion after light curve shape and colour corrections, their brightness can be used to measure properties of the dark matter haloes via gravitational magnification. We use observations of galaxies and SNe Ia within the Great Observatories Origins Deep Survey (GOODS) to measure the relation between galaxy luminosity and dark matter halo mass. The relation we investigate is a scaling law between velocity dispersion and galaxy luminosity in the B-band. The best-fitting values to this relation (velocity dispersion normalisation and exponent) are 136 km/s and 0.27. We find the velocity dispersion normalisation to be less than 190 km/s at the 95 per cent confidence level. This method provides an independent cross-check of measurements of dark matter halo properties from galaxy-galaxy lensing studies. Our results agree with the galaxy-galaxy lensing results, but have much larger uncertainties. The GOODS sample of SNe Ia is relatively small (we include 24 SNe) and the results therefore depend on individual SNe Ia. We have investigated a number of potential systematic effects. Light curve fitting, which affects the inferred brightness of the SNe Ia, appears to be the most important one. Results obtained using different light curve fitting procedures differ at the 68.3 per cent confidence level.
Tracing small-scale structure formation through cosmic time with strong gravitational lensing: A case for a next-generation sub-millimetre/millimetre interferometer
European Southern Observatory (ESO)（欧洲南方天文台）；Kapteyn Astronomical Institute, University of Groningen（格罗宁根大学卡普坦天文研究所）；South African Radio Astronomy Observatory (SARAO)（南非射电天文观测台）；Department of Physics, University of Pretoria（比勒陀利亚大学物理系）；Pole Scientific, Catholic University of Lyon（里昂天主教大学科学部门）；Instituto de Física y Astronomía, Universidad de Valparaíso（瓦尔帕莱索大学物理与天文学研究所）；Max-Planck-Institut für Astrophysik（马克斯·普朗克天体物理学研究所）；Department of Physics, University of Oxford（牛津大学物理系）；Observatoire de Paris, LUX, Collège de France, CNRS, PSL University, Sorbonne University（巴黎天文台，卢克斯，法兰西公学院，法国国家科学研究中心，巴黎文理研究大学，索邦大学）；Dipartimento di Fisica e Astronomia Augusto Righi , Università di Bologna（博洛尼大学奥古斯托·里吉物理与天文学系）；INAF – Osservatorio di Astrofisica e Scienza dello Spazio di Bologna（意大利国家天体物理研究所博洛尼亚空间科学与天文学观测台）；INFN – Sezione di Bologna（意大利国家核物理研究所博洛尼亚分部）
