https://doi.org/10.1140/epjc/s10052-019-7085-9
Regular Article - Theoretical Physics
Weak lensing effect on CMB in the presence of a dipole anisotropy
1
Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi, 110025, India
2
School of Physics and Astronomy, Sun Yat-Sen University Zhuhai, 2 Daxue Rd, Tangjia, Zhuhai, China
3
Department of Physics, Indian Institute of Technology, Kanpur, 208016, India
4
National Astronomical Observatories, CAS, Beijing, 100012, China
* e-mail: naveen.nkumars@gmail.com
Received:
30
January
2019
Accepted:
28
June
2019
Published online:
11
July
2019
We investigate weak lensing effect on cosmic microwave background (CMB) in the presence of a superhorizon mode which leads to a dipole anisotropy in the CMB power spectrum and in large scale structures. The approach of flat-sky approximation is considered. We determine the functions 
and 
that appear in expressions of the lensed CMB power spectrum in the presence of the dipole anisotropy. We determine the correction to B-mode power spectrum which is found to be appreciable at low multipoles (l), around 
at 
. However, the temperature and E-mode power spectrum are not altered significantly.
© The Author(s), 2019
