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 3

Best-fit galaxy linear bias b and amplitude of cross correlation A.

Bin	From Hang et al.		This work

			Before correction			After correction

	b₁	A	b	A	$χ_{r}^{2}$ $\chi _r^2$	b	A	$χ_{r}^{2}$ $\chi _r^2$
(0.0,0.3]	${1.25}_{- 0.01}^{+ 0.01}$ ${1.25_{ - 0.01}^{ + 0.01}}$	${0.91}_{- 0.05}^{+ 0.05}$ ${0.91_{ - 0.05}^{ + 0.05}}$	${1.251}_{- 0.006}^{+ 0.006}$ ${1.251_{ - 0.006}^{ + 0.006}}$	${0.856}_{- 0.062}^{+ 0.062}$ ${0.856_{ - 0.062}^{ + 0.062}}$	1.049	${1.190}_{- 0.006}^{+ 0.006}$ ${1.190_{ - 0.006}^{ + 0.006}}$	${0.915}_{- 0.059}^{+ 0.060}$ ${0.915_{ - 0.060}^{ + 0.059}}$	1.010
(0.3,0.45]	${1.56}_{- 0.02}^{+ 0.02}$ ${1.56_{ - 0.02}^{ + 0.02}}$	${0.80}_{- 0.04}^{+ 0.04}$ ${0.80_{ - 0.04}^{ + 0.04}}$	${1.756}_{- 0.007}^{+ 0.007}$ ${1.756_{ - 0.007}^{ + 0.007}}$	${0.756}_{- 0.049}^{+ 0.049}$ ${0.756_{ - 0.049}^{ + 0.049}}$	1.033	${1.628}_{- 0.007}^{+ 0.007}$ ${1.628_{ - 0.007}^{ + 0.007}}$	${0.789}_{- 0.052}^{+ 0.052}$ ${0.789_{ - 0.052}^{ + 0.052}}$	1.251
(0.45,0.6]	${1.53}_{- 0.01}^{+ 0.01}$ ${1.53_{ - 0.01}^{ + 0.01}}$	${0.94}_{- 0.04}^{+ 0.04}$ ${0.94_{ - 0.04}^{ + 0.04}}$	${1.739}_{- 0.006}^{+ 0.006}$ ${1.739_{ - 0.006}^{ + 0.006}}$	${0.857}_{- 0.048}^{+ 0.048}$ ${0.857_{ - 0.048}^{ + 0.048}}$	0.823	${1.571}_{- 0.006}^{+ 0.006}$ ${1.571_{ - 0.006}^{ + 0.006}}$	${0.941}_{- 0.047}^{+ 0.047}$ ${0.941_{ - 0.047}^{ + 0.047}}$	0.953
(0.6,0.8]	${1.83}_{- 0.02}^{+ 0.02}$ ${1.83_{ - 0.02}^{ + 0.02}}$	${0.91}_{- 0.04}^{+ 0.04}$ ${0.91_{ - 0.04}^{ + 0.04}}$	${2.107}_{- 0.009}^{+ 0.009}$ ${2.107_{ - 0.009}^{ + 0.009}}$	${0.862}_{- 0.043}^{+ 0.043}$ ${0.862_{ - 0.043}^{ + 0.043}}$	1.228	${1.693}_{- 0.008}^{+ 0.008}$ ${1.693_{ - 0.008}^{ + 0.008}}$	${1.009}_{- 0.050}^{+ 0.050}$ ${1.009_{ - 0.050}^{ + 0.050}}$	1.013

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 sum of Gaussians fit to the redshiſt error distribution, before and after correcting for redshiſt bin mismatch of objects, 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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