Anisotropic magnification distortion of the 3D galaxy correlation. II. Fourier and redshift space

摘要: In paper I of this series we discuss how magnification bias distorts the 3D correlation function by enhancing observed in line-of-sight (LOS) orientation, especially on large scales. This lensing anisotropy is distinctive, making it possible to separately measure galaxy-galaxy, galaxy-magnification and magnification-magnification correlations. Here extend discussion power spectrum also redshift space. real space, pairs oriented close LOS direction are not protected against nonlinearity even if pair separation large; because nonlinear fluctuations can enter through gravitational at a small transverse (or i.e. impact parameter). The situation Fourier space different: focusing wave number k, as usually done, linearity guaranteed both numbers must be small. why distortion galaxy appears less severe Nonetheless, effect non-negligible, for modes, should taken into account interpreting precision measurements spectrum, instance those that focus baryon oscillations. induced has shape distinct from more » more well-known anisotropies due peculiar motions Alcock-Paczynski effect. highly localized while distortions spread out. means one could separate component observations, implying potentially perform measurement without measuring shapes. « less