Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dark Energy Constraints from Weak Lensing Cross-Correlation Cosmography   We present a method to implement the idea of Jain & Taylor to constrain
cosmological parameters with weak gravitational lensing. Photometric redshift
information on foreground galaxies is used to produce templates of the mass
structure at foreground slices z_\ell, and the predicted distortion field is
cross-correlated with the measured shapes of sources at redshift z_s. The
variation of the cross-correlation with z_s depends purely on ratios of angular
diameter distances. We propose a formalism for such an analysis that makes use
of all foreground-background redshift pairs, and derive the Fisher
uncertainties on the dark energy parameters that would result from such a
survey. Surveys from the proposed SNAP satellite or the LSST observatory could
constrain the dark energy equation of state to 0.01 f_sky^{-1/2} in w_0 and
0.035 f_sky^{-1/2} in w_a after application of a practical prior on \Omega_m.
Advantages of this method over power-spectrum measurements are that it is
unaffected by residual PSF distortions, is not limited by sample-variance, and
can use non-linear mass structures to constrain cosmology. The signal is,
however, very small, amounting to a change of a few parts in 10^3 of the
lensing distortion. The calibration of lensing distortion must be independent
of redshift to comparable levels, and photometric redshifts must be similarly
free of bias. Both of these tasks require substantial advance over the present
state of the art, but we discuss how such accurate calibrations might be
achieved using internal consistency tests. Elimination of redshift bias would
require spectroscopic redshifts of 10^4-10^5 high redshift galaxies.

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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph