J/A+A/656/A99 Tomography with Magnification Bias (Bonavera+, 2021)
Cosmology with the sub-millimetre galaxies magnification bias.
Tomographic Analysis.
Bonavera L., Cueli M.M., Gonzalez-Nuevo J., Ronconi T., Migliaccio M.,
Lapi A., Casas J.M., Crespo D.
<Astron. Astrophys. 656, A99 (2021)>
=2021A&A...656A..99B 2021A&A...656A..99B (SIMBAD/NED BibCode)
ADC_Keywords: Gravitational lensing ; Galaxies, IR ; Models
Keywords: cosmological parameters - dark energy - gravitational lensing: weak -
galaxies: high-redshift - submillimeter: galaxies
Abstract:
High-z submillimetre galaxies can be used as a background sample for
gravitational lensing studies thanks to their magnification bias. In
particular, the magnification bias can be exploited in order to
constrain the free parameters of a halo occupation distribution (HOD)
model and some of the main cosmological parameters. A
pseudo-tomographic analysis shows that the tomographic approach should
improve the parameter estimation.
In this work the magnification bias has been evaluated as cosmological
tool in a tomographic set up. The cross-correlation function (CCF)
data have been used to jointly constrain the astrophysical parameters
Mmin, M1 and α in each one of the selected redshift bins, as
well as the cosmological parameter ΩM, σ8 and H0 for
the lambda cold dark matter (ΛCMD). Moreover, we explore the
possible time evolution of the dark energy density introducing the
{omaga}0 and {omage}a parameters in the joint analysis
(ω0CDM and ω0ωaCDM).
The CCF was measured between a foreground spectroscopic sample of
Galaxy And Mass Assembly galaxies and a background sample of Herschel
Astrophysical Terahertz Large Area Survey (H-ATLAS) galaxies. The
foreground sample was divided into four redshift bins (0.1-0.2,
0.2-0.3, 0.3-0.5, and 0.5-0.8) and the sample of H-ATLAS galaxies has
photometric redshifts >1.2. The CCF was modelled using a halo model
description that depends on HOD and cosmological parameters. Then a
Markov chain Monte Carlo method was used to estimate the parameters
for different cases.
For the ΛCDM model the analysis yields a maximum posterior
value at 0.26 with [0.17, 0.41] 68% C.I. for ΩM and at 0.87
with [0.75, 1] 68% C.I. for σ8. With our current results H0
is not yet constrained. With a more general ω0CDM model, the
constraints on ΩM and σ8 are similar, but we found a
maximum posterior value for ω0 at -1 with [-1.56, -0.47] 68%
C.I. In the ω0ωaCDM model, the results are -1.09 with
[-1.72, -0.66] 68% C.I. for ω0 and -0.19 with [-1.88, 1.48]
68% C.I. for ωa.
The results on Mmin show a trend towards higher values at higher
redshift confirming recent findings. The tomographic analysis
presented in this work improves the constraints in the
σ8-ΩM plane with respect to previous findings
exploiting the magnification bias and it confirms that magnification
bias results do not show the degeneracy found with cosmic shear
measurements. Moreover, related to dark energy, we found a trend of
higher ω0 values for lower H0 values.
Description:
In subdirectory files, MCMC clean as described in the paper chains for
the case of LCDM, w0CDM and w0waCDM models. The chains are provided in
the ascii files lcdm.txt, w0cdm.txt and wcdm.txt. The format is
compatible with GETDIST. The corresponding ranges and paramnames
files are also provided. In particular lcdm_rn.txt, w0cdm_rn.txt and
wcdm_rn.txt are the corresponding ranges files whose filename has to
be changed to .range before loading with GETDIS (i.e. lcdm.ranges,
w0cdm.ranges and wcdm.ranges). The lcdm_pn.txt, w0cdm_pn.txt and
wcdm_pn.txt are the corresponding paramnames files whose filename has
to be changed to .paramnames before loading with GETDIST (i.e.
lcdm.paramnames, w0cdm.paramnames and wcdm.paramnames).
The format of each line in these files is as follows:
Column 1: weight of the point
Column 2: -ln(Likelihood)
Columns 3+: values of the parameters as specified in the paramnames files.
File Summary:
--------------------------------------------------------------------------------
FileName Lrecl Records Explanations
--------------------------------------------------------------------------------
ReadMe 80 . This file
lcdm.dat 178 1080 Chain for the ΛCDM model
w0cdm.dat 190 1088 Chain for the ω0ωaCDM model
wcdm.dat 202 1156 Chain for the ω0CDM model
files/* . 9 *Files in format is compatible with GETDIST
--------------------------------------------------------------------------------
Note on files/*: list of files:
lcdm.txt 178 1080 Chain for the ΛCDM model
w0cdm.txt 190 1088 Chain for the ω0CDM model
wcdm.txt 202 1156 Chain for the ω0ωaCDM model
lcdm_rn.txt 22 15 Ranges file for the ΛCDM model
w0cdm_rn.txt 22 16 Ranges file for the ω0CDM model
wcdm_rn.txt 22 17 Ranges file for the
ω0ωaCDM model
lcdm_pn.txt 30 15 Paramnames file for the ΛCDM model
w0cdm_pn.txt 30 16 Paramnames file for the ω0CDM model
wcdm_pn.txt 30 17 Paramnames file for the
ω0ωaCDM model
--------------------------------------------------------------------------------
Byte-by-byte Description of file: lcdm.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
4 I1 --- Weight [1] Weight of the point
6- 13 F8.4 [-] mln(Likelihood) [197/209] Opposite of ln(Likelihood)
15- 24 E10.5 [Msun] logMmin-bin1 [10/13] logMmin bin1
26- 35 E10.5 [Msun] logM1-bin1 [11.0/15.5] logM1 bin1
37- 46 E10.5 --- alpha-bin1 [0.5/1.5] alpha bin
48- 57 E10.5 [Msun] logMmin-bin2 [11/13] logMmin bin2
59- 68 E10.5 [Msun] logM1-bin2 [12.0/15.5] logM1 bin2
70- 79 E10.5 --- alpha-bin2 [0.5/1.5] alpha bin2
81- 90 E10.5 [Msun] logMmin-bin3 [11.5/15.5] logMmin bin3
92-101 E10.5 [Msun] logM1-bin3 [12.5/15.5] logM1 bin3
103-112 E10.5 --- alpha-bin3 [0.5/1.5] alpha bin3
114-123 E10.5 [Msun] logMmin-bin4 [13.0/15.5] logMmin bin4
125-134 E10.5 [Msun] logM1-bin4 [13.0/15.5] logM1 bin4
136-145 E10.5 --- alpha-bin4 [0.5/1.5] alpha bin4
147-156 E10.5 --- omegaM [0.1/0.8] OmegaM
158-167 E10.5 --- sigma8 [0.6/1.2] sigma8
169-178 E10.5 --- h [0.5/1.0] h
--------------------------------------------------------------------------------
Byte-by-byte Description of file: w0cdm.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
4 I1 --- Weight [1] Weight of the point
6- 13 F8.4 [-] mln(Likelihood) [196/210[ Opposite of ln(Likelihood)
15- 24 E10.5 [Msun] logMmin-bin1 [10.0/13.0] logMmin bin1
26- 35 E10.5 [Msun] logM1-bin1 [11.0/15.5] logM1 bin1
37- 46 E10.5 --- alpha-bin1 [0.5/1.5] alpha bin1
48- 57 E10.5 [Msun] logMmin-bin2 [11.0/13.0] logMmin bin2
59- 68 E10.5 [Msun] logM1-bin2 [12.0/15.5] logM1 bin2
70- 79 E10.5 --- alpha-bin2 [0.5/1.5] alpha bin2
81- 90 E10.5 [Msun] logMmin-bin3 [11.5/13.5] logMmin bin3
92-101 E10.5 [Msun] logM1-bin3 [12.0/15.5] logM1 bin3
103-112 E10.5 --- alpha-bin3 [0.5/1.5] alpha bin3
114-123 E10.5 [Msun] logMmin-bin4 [13.0/15.5] logMmin bin4
125-134 E10.5 [Msun] logM1-bin4 [13.0/15.5] logM1 bin4
136-145 E10.5 --- alpha-bin4 [0.5/1.5] alpha bin4
147-157 E11.5 --- w0 [-2.0/0.0] w0
159-168 E10.5 --- omegaM [0.1/0.8] OmegaM
170-179 E10.5 --- sigma8 [0.6/1.2] sigma8
181-190 E10.5 --- h [0.5/1.0] h
--------------------------------------------------------------------------------
Byte-by-byte Description of file: wcdm.dat
--------------------------------------------------------------------------------
Bytes Format Units Label Explanations
--------------------------------------------------------------------------------
4 I1 --- Weight [1] Weight of the point
6- 13 F8.4 [-] mln(Likelihood) [197/209[ Opposite of ln(Likelihood)
15- 24 E10.5 [Msun] logMmin-bin1 [10.0/13.0] logMmin bin1
26- 35 E10.5 [Msun] logM1-bin1 [11.0/15.5] logM1 bin1
37- 46 E10.5 --- alpha-bin1 [0.5/1.5] alpha bin1
48- 57 E10.5 [Msun] logMmin-bin2 [11.0/13.0] logMmin bin2
59- 68 E10.5 [Msun] logM1-bin2 [12.0/15.5] logM1 bin2
70- 79 E10.5 --- alpha-bin2 [0.5/1.5] alpha bin2
81- 90 E10.5 [Msun] logMmin-bin3 [11.5/13.5] logMmin bin3
92-101 E10.5 [Msun] logM1-bin3 [12.5/15.5] logM1 bin3
103-112 E10.5 --- alpha-bin3 [0.5/1.5] alpha bin3
114-123 E10.5 [Msun] logMmin-bin4 [13.0/15.5] logMmin bin4
125-134 E10.5 [Msun] logM1-bin4 [13.0/15.5] logM1 bin4
136-145 E10.5 --- alpha-bin4 [0.5/1.5] alpha bin4
147-157 E11.5 --- wa [-3.0/3.0] wa
159-169 E11.5 --- w0 [-2.0/2.0] w0
171-180 E10.5 --- omegaM [0.1/0.8] OmegaM
182-191 E10.5 --- sigma8 [0.6/1.2] sigma8
193-202 E10.5 --- h [0.5/1.0] h
--------------------------------------------------------------------------------
Acknowledgements:
Laura Bonavera, bonaveralaura(at)uniovi.es
(End) Laura Bonavera [uniovi, Spain], Patricia Vannier [CDS] 16-Sep-2021