Hirata, Christopher M. and Holz, Daniel E. and Cutler, Curt (2010) Reducing the weak lensing noise for the gravitational wave Hubble diagram using the non-Gaussianity of the magnification distribution. Physical Review D, 81 (12). Art. No. 124046 . ISSN 0556-2821 http://resolver.caltech.edu/CaltechAUTHORS:20100712-145319399
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Gravitational wave sources are a promising cosmological standard candle because their intrinsic luminosities are determined by fundamental physics (and are insensitive to dust extinction). They are, however, affected by weak lensing magnification due to the gravitational lensing from structures along the line of sight. This lensing is a source of uncertainty in the distance determination, even in the limit of perfect standard candle measurements. It is commonly believed that the uncertainty in the distance to an ensemble of gravitational wave sources is limited by the standard deviation of the lensing magnification distribution divided by the square root of the number of sources. Here we show that by exploiting the non-Gaussian nature of the lensing magnification distribution, we can improve this distance determination, typically by a factor of 2–3; we provide a fitting formula for the effective distance accuracy as a function of redshift for sources where the lensing noise dominates.
|Additional Information:||© 2010 The American Physical Society. Received 26 April 2010; published 25 June 2010. We acknowledge useful conversations with Eanna Flanagan and Samaya Nissanke. C. H. is supported by the U.S. Department of Energy (DE-FG03-92-ER40701), the National Science Foundation (AST-0807337), and the Alfred P. Sloan Foundation. D. H. acknowledges support from the LDRD program at LANL. C. C.’s work was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under contract to the National Aeronautics and Space Administration. He acknowledges support from a JPL Research and Technology Development grant, as well as support from NASA Grant No. NNX07AM80G.|
|Classification Code:||PACS: 04.30.Tv, 95.36.+x, 98.62.Sb, 98.80.Es|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||14 Jul 2010 23:49|
|Last Modified:||26 Dec 2012 12:13|
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