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arXiv · 1103.5923

Calibration biases in measurements of weak lensing

Matthias Bartelmann·Massimo Viola·Peter Melchior·Björn M. Schäfer
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Abstract

As recently shown by Viola et al., the common (KSB) method for measuring weak gravitational shear creates a non-linear relation between the measured and the true shear of objects. We investigate here what effect such a non-linear calibration relation may have on cosmological parameter estimates from weak lensing if a simpler, linear calibration relation is assumed. We show that the non-linear relation introduces a bias in the shear-correlation amplitude and thus a bias in the cosmological parameters Omega_matter and sigma_8. Its direction and magnitude depends on whether the point-spread function is narrow or wide compared to the galaxy images from which the shear is measured. Substantial over- or underestimates of the cosmological parameters are equally possible, depending also on the variant of the KSB method. Our results show that for trustable cosmological-parameter estimates from measurements of weak lensing, one must verify that the method employed is free from ellipticity-dependent biases or monitor that the calibration relation inferred from simulations is applicable to the survey at hand.

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Matthias Bartelmann, Massimo Viola, Peter Melchior, Björn M. Schäfer. 2011-03-30. Calibration biases in measurements of weak lensing. https://doi.org/10.1051/0004-6361%2F201116983

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