# 28th Texas Symposium on Relativistic Astrophysics

13-18 December 2015
International Conference Centre Geneva
Europe/Zurich timezone

## Effects of the second-order vector mode on weak lensing signals

17 Dec 2015, 17:38
3m
Level -1, Room 16 (International Conference Centre Geneva)

### Level -1, Room 16

#### International Conference Centre Geneva

17 Rue de Varembé, 1211 Geneva

### Speaker

Mr Shohei Saga (Naogya university)

### Description

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.

### Primary author

Mr Shohei Saga (Naogya university)

### Co-authors

Dr Daisuke Yamauchi (The University of Tokyo) Dr Kiyotomo Ichiki (Nagoya university)