Effect of redshift bin mismatch on the cross correlation between the DESI Legacy Imaging Survey and the Planck CMB lensing potential

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Volume 690 (October 2024)

A&A, 690 (2024) A338

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Table 2

Best-fit galaxy linear bias b and amplitude of cross correlation A without redshift bin leakage correction.

Bin	From Hang et al.		This work

			Modified Lorentzian			Sum of Gaussians

	b₁	A	b	A	$χ_{r}^{2}$ $\chi _r^2$	b	A	$χ_{r}^{2}$ $\chi _r^2$
(0.0,0.3]	${1.25}_{- 0.01}^{+ 0.01}$ ${1.25_{ - 0.01}^{ + 0.01}}$	${0.91}_{- 0.05}^{+ 0.05}$ ${0.91_{ - 0.05}^{ + 0.05}}$	${1.216}_{- 0.006}^{+ 0.006}$ ${1.216_{ - 0.006}^{ + 0.006}}$	${0.848}_{- 0.064}^{+ 0.063}$ ${0.848_{ - 0.064}^{ + 0.063}}$	1.136	${1.251}_{- 0.006}^{+ 0.006}$ ${1.251_{ - 0.006}^{ + 0.006}}$	${0.856}_{- 0.062}^{+ 0.062}$ ${0.856_{ - 0.062}^{ + 0.062}}$	1.049
(0.3,0.45]	${1.56}_{- 0.02}^{+ 0.02}$ ${1.56_{ - 0.02}^{ + 0.02}}$	${0.80}_{- 0.04}^{+ 0.04}$ ${0.80_{ - 0.04}^{ + 0.04}}$	${1.591}_{- 0.007}^{+ 0.007}$ ${1.591_{ - 0.007}^{ + 0.007}}$	${0.838}_{- 0.054}^{+ 0.054}$ ${0.838_{ - 0.054}^{ + 0.054}}$	1.039	${1.756}_{- 0.007}^{+ 0.007}$ ${1.756_{ - 0.007}^{ + 0.007}}$	${0.756}_{- 0.049}^{+ 0.049}$ ${0.756_{ - 0.049}^{ + 0.049}}$	1.033
(0.45,0.6]	${1.53}_{- 0.01}^{+ 0.01}$ ${1.53_{ - 0.01}^{ + 0.01}}$	${0.94}_{- 0.04}^{+ 0.04}$ ${0.94_{ - 0.04}^{ + 0.04}}$	${1.526}_{- 0.006}^{+ 0.006}$ ${1.526_{ - 0.006}^{ + 0.006}}$	${0.978}_{- 0.055}^{+ 0.055}$ ${0.978_{ - 0.055}^{ + 0.055}}$	0.824	${1.739}_{- 0.006}^{+ 0.006}$ ${1.739_{ - 0.006}^{ + 0.006}}$	${0.857}_{- 0.048}^{+ 0.048}$ ${0.857_{ - 0.048}^{ + 0.048}}$	0.823
(0.6,0.8]	${1.83}_{- 0.02}^{+ 0.02}$ ${1.83_{ - 0.02}^{ + 0.02}}$	${0.91}_{- 0.04}^{+ 0.04}$ ${0.91_{ - 0.04}^{ + 0.04}}$	${1.840}_{- 0.008}^{+ 0.008}$ ${1.840_{ - 0.008}^{ + 0.008}}$	${0.959}_{- 0.048}^{+ 0.048}$ ${0.959_{ - 0.048}^{ + 0.048}}$	1.193	${2.107}_{- 0.009}^{+ 0.009}$ ${2.107_{ - 0.009}^{ + 0.009}}$	${0.862}_{- 0.043}^{+ 0.043}$ ${0.862_{ - 0.043}^{ + 0.043}}$	1.228

Notes. The first set of parameters b₁ and A are taken from H21. The second and third sets of b and A are estimated using modified Lorentzian (with parameters from H21) and sum of Gaussians fit to the error distribution p(z_s − z_p|z_p), respectively. $χ_{r}^{2}$ $\chi _r^2$ is the reduced chi-square values for the cross-power spectrum with v = 47 degrees of freedom.

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