Weak lensing induced by second-order vector mode

Abstract

The vector mode of cosmological perturbation theory imprints characteristic signals on the weak lensing signals such as curl- and B-modes which are never imprinted by the scalar mode. However, the vector mode is neglected in the standard first-order cosmological perturbation theory since it only has a decaying mode. This situation changes if the cosmological perturbation theory is expanded up to second order. The second-order vector and tensor modes are inevitably induced by the product of the first-order scalar modes. We study the effect of the second-order vector mode on the weak lensing curl- and B-modes. We find that the curl-mode induced by the second-order vector mode is comparable to that induced by the primordial gravitational waves with the tensor-to-scalar ratio $r=0.1$ at $\ell \approx 200$. In this case, the curl-mode induced by the second-order vector mode dominates at $\ell >200$. Furthermore, the B-mode cosmic shear induced by the second-order vector mode dominates on almost all scales. However, we find that the observational signatures of the second-order vector and tensor modes cannot exceed the expected noise of ongoing and upcoming weak lensing measurements. We conclude that the curl- and B-modes induced by the second-order vector and tensor modes are unlikely to be detected in future experiments.

18 pages, 5figures, published version in PRD

References in corpus (15)

• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations
• Primordial gravity wave fossils and their use in testing inflation
• Power Spectrum of the Density Perturbations From Smooth Hybrid New Inflation Model
• Cosmological Perturbations at Second Order and Recombination Perturbed
• Vector modes generated by primordial density fluctuations
• Weak Lensing of the Cosmic Microwave Background by Foreground Gravitational Waves
• Impact of anisotropic stress of free-streaming particles on gravitational waves induced by cosmological density perturbations
• Cosmic Shear from Scalar-Induced Gravitational Waves
• Impact of polarisation on the intrinsic CMB bispectrum
• Magnetic field spectrum at cosmological recombination revisited
• Geodesic "curve"-of-sight formulae for the cosmic microwave background: a unified treatment of redshift, time delay, and lensing
• Future detectability of gravitational-wave induced lensing from high-sensitivity CMB experiments

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