Weak lensing corrections to tSZ-lensing cross correlation

作者:Troester Tilman; Van Waerbeke Ludovic
来源:Journal of Cosmology and Astroparticle Physics, 2014, 2014(11): 008.
DOI:10.1088/1475-7516/2014/11/008

摘要

The cross correlation between the thermal Sunyaev-Zeldovich (tSZ) effect and gravitational lensing in wide field has recently been measured. It can be used to probe the distribution of the diffuse gas in large scale structure, as well as inform us about the missing baryons. As for any lensing-based quantity, higher order lensing effects can potentially affect the signal. Here, we extend previous higher order lensing calculations to the case of tSZ-lensing cross correlations. We derive terms analogous to corrections due to the Born approximation, lens-lens coupling, and reduced shear up to order O(Phi(4)) in the Newtonian potential. Redshift distortions and vector modes are shown to be negligible at this order. We find that the dominant correction due to the reduced shear exceeds percent-level only at multipoles of l greater than or similar to 3000.

  • 出版日期2014-11