Lensing and Supernovae: Quantifying The Bias on the Dark Energy Equation of State

Abstract

The gravitational magnification and demagnification of Type Ia supernovae (SNe) modify their positions on the Hubble diagram, shifting the distance estimates from the underlying luminosity-distance relation. This can introduce a systematic uncertainty in the dark energy equation of state (EOS) estimated from SNe, although this systematic is expected to average away for sufficiently large data sets. Using mock SN samples over the redshift range $0<z\le 1.7$ we quantify the lensing bias. We find that the bias on the dark energy EOS is less than half a percent for large datasets ($\gtrsim$ 2,000 SNe). However, if highly magnified events (SNe deviating by more than 2.5$\sigma$) are systematically removed from the analysis, the bias increases to $\sim$ 0.8%. Given that the EOS parameters measured from such a sample have a 1$\sigma$ uncertainty of 10%, the systematic bias related to lensing in SN data out to $z\sim 1.7$ can be safely ignored in future cosmological measurements.

arXiv comment5 pages, 4 figures; one figure and references added; minor modifications to text; reflects version accepted for publication in ApJ

References in corpus (21)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Cosmological Results from High-z Supernovae
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Report of the Dark Energy Task Force
• Uncorrelated Estimates of Dark Energy Evolution
• Correlated Fluctuations in Luminosity Distance and the (Surprising) Importance of Peculiar Motion in Supernova Surveys
• A New Method for Determining Cumulative Gravitational Lensing Effects in Inhomogeneous Universes
• Model-Independent Constraints on Dark Energy Density from Flux-averaging Analysis of Type Ia Supernova Data
• Safety in numbers: Gravitational Lensing Degradation of the Luminosity Distance-Redshift Relation
• Flux-averaging Analysis of Type Ia Supernova Data
• A universal probability distribution function for weak-lensing amplification
• Narrowing Constraints with Type Ia Supernovae: Converging on a Cosmological Constant
• Effects of quintessence on observations of Type Ia SuperNovae in the clumpy Universe
• Problems with Pencils: Lensing Covariance of Supernova Distance Measurements
• Light Propagation in Inhomogeneous Universes. V. Gravitational Lensing of Distant Supernovae

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• Cosmography and large scale structure by f(R) gravity: new results
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• Bayesian constraints on dark matter halo properties using gravitationally-lensed supernovae
• Luminosity distance in Swiss cheese cosmology with randomized voids. II. Magnification probability distributions
• Utilizing Type Ia Supernovae in a Large, Fast, Imaging Survey to Constrain Dark Energy
• Prospects and pitfalls of gravitational lensing in large supernova surveys
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