Weak Lensing and CMB: Parameter forecasts including a running spectral index

Abstract

We use statistical inference theory to explore the constraints from future galaxy weak lensing (cosmic shear) surveys combined with the current CMB constraints on cosmological parameters, focusing particularly on the running of the spectral index of the primordial scalar power spectrum, ${\alpha }_s$. Recent papers have drawn attention to the possibility of measuring ${\alpha }_s$ by combining the CMB with galaxy clustering and/or the Lyman-$\alpha$ forest. Weak lensing combined with the CMB provides an alternative probe of the primordial power spectrum. We run a series of simulations with variable runnings and compare them to semi-analytic non-linear mappings to test their validity for our calculations. We find that a ``Reference'' cosmic shear survey with $f_{sky}=0.01$ and $6.6\times 10^8$ galaxies per steradian can reduce the uncertainty on $n_s$ and ${\alpha }_s$ by roughly a factor of 2 relative to the CMB alone. We investigate the effect of shear calibration biases on lensing by including the calibration factor as a parameter, and show that for our Reference Survey, the precision of cosmological parameter determination is only slightly degraded even if the amplitude calibration is uncertain by as much as 5%. We conclude that in the near future weak lensing surveys can supplement the CMB observations to constrain the primordial power spectrum.

12 pages, 10 figures, revtex4. Final form to appear in Phys Rev D

References in corpus (18)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Stable clustering, the halo model and nonlinear cosmological power spectra
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Cross-correlation Tomography: Measuring Dark Energy Evolution with Weak Lensing
• Weak Gravitational Lensing by Large-Scale Structure
• Shear calibration biases in weak lensing surveys
• Reconstructing the primordial power spectrum
• Weak Lensing Results from the 75 Square Degree CTIO Survey
• 3D weak lensing
• Dark Energy Constraints from Weak Lensing Cross-Correlation Cosmography
• Constraining slow-roll inflation with WMAP and 2dF
• Neutrino Mass and Dark Energy from Weak Lensing
• Joint CMB and Weak Lensing Analysis; Physically Motivated Constraints on Cosmological Parameters
• WMAP and Inflation
• Cosmological constraints from the CMB and Ly-alpha forest revisited
• Tree-Particle-Mesh: an adaptive, efficient, and parallel code for collisionless cosmological simulation
• Precision Cosmology from the Lyman-alpha Forest: Power Spectrum and Bispectrum
• The last stand before MAP: cosmological parameters from lensing, CMB and galaxy clustering

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