Weak lensing of bright standard sirens: prospects for ${\sigma }_8$

Abstract

Gravitational wave events with electromagnetic counterparts provide direct measurements of the Hubble diagram. We demonstrate that incorporating weak lensing into bright standard siren analyses allows measurements of cosmological parameters that do not influence the mean luminosity distance-redshift relation but do impact the cosmic structures. In particular, we examine the prospects for measuring the standard deviation of matter perturbations ${\sigma }_8$, in addition to the Hubble constant and the matter abundance. We find that a $10\%$ measurement of ${\sigma }_8$ would be feasible with ET, provided a population of $300$ neutron star binaries with electromagnetic counterparts is observed. With LISA, the measurement of ${\sigma }_8$ would have $30\%$ accuracy, assuming a population of $12$ massive black hole binaries with electromagnetic counterparts is observed.

arXiv comment7 pages, 5 figures, matches the version accepted for publication in MNRAS

References in corpus (44)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Cosmic Star Formation History
• Baryonic Features in the Matter Transfer Function
• Cold and Fuzzy Dark Matter
• A gravitational-wave standard siren measurement of the Hubble constant
• Halo Formation in Warm Dark Matter Models
• An excursion set model of hierarchical clustering: Ellipsoidal collapse and the moving barrier
• Cold dark matter haloes in the Planck era: evolution of structural parameters for Einasto and NFW profiles
• Using gravitational-wave standard sirens
• The Shape of Dark Matter Halos: Dependence on Mass, Redshift, Radius, and Formation
• Limits on stellar-mass compact objects as dark matter from gravitational lensing of type Ia supernovae
• Science with the space-based interferometer eLISA. III: Probing the expansion of the Universe using gravitational wave standard sirens
• Inter-cluster filaments in a $\Lambda$CDM Universe
• A New Method for Determining Cumulative Gravitational Lensing Effects in Inhomogeneous Universes
• Full-sky Gravitational Lensing Simulation for Large-area Galaxy Surveys and Cosmic Microwave Background Experiments
• Safety in numbers: Gravitational Lensing Degradation of the Luminosity Distance-Redshift Relation
• Pseudo Elliptical Lensing Mass Model: Application to the NFW Mass Distribution
• Reducing the weak lensing noise for the gravitational wave Hubble diagram using the non-Gaussianity of the magnification distribution
• Forecasting the detection capabilities of third-generation gravitational-wave detectors using $\text{GWFAST}$
• Probability Distribution Functions of Cosmological Lensing: Convergence, Shear, and Magnification
• An excursion set model of the cosmic web: The abundance of sheets, filaments and halos
• A new stochastic approach to cumulative weak lensing
• Massive black hole binaries in LISA: multimessenger prospects and electromagnetic counterparts
• Bias and scatter in the Hubble diagram from cosmological large-scale structure
• Accurate Modeling of Weak Lensing with the sGL Method
• Afterglow constraints on the viewing angle of binary neutron star mergers and determination of the Hubble constant
• How does the cosmic large-scale structure bias the Hubble diagram?
• On the search of electromagnetic cosmological counterparts to coalescences of massive black hole binaries
• Accurate weak lensing of standard candles. I. Flexible cosmological fits
• Accurate Weak Lensing of Standard Candles. II. Measuring sigma8 with Supernovae
• Characterisation of lensing selection effects for LISA massive black hole binary mergers
• Weak Lensing Observables in the Halo Model
• Joint cosmological inference of standard sirens and gravitational wave weak lensing
• Prospects of testing late-time cosmology with weak lensing of gravitational waves and galaxy surveys
• Microlensing of gravitational waves by dark matter structures
• First measurement of ${\sigma }_8$ using supernova magnitudes only
• Using electromagnetic observations to aid gravitational-wave parameter estimation of compact binaries observed with LISA II: The effect of knowing the sky position
• Future prospects on testing extensions to $\Lambda$CDM through the weak lensing of gravitational waves
• Prospects for optical detections from binary neutron star mergers with the next-generation multi-messenger observatories
• Luminosity distance uncertainties from gravitational wave detections by third generation observatories
• What is the origin of the JWST SMBHs?
• Impact of weak lensing on bright standard siren analyses
• A deconstruction of methods to derive one-point lensing statistics

Cited by in corpus (1)

• Gravitational-wave standard sirens and application in cosmology