Table 1. Open in new tab Summary of the...

	Prior range
Cosmological				5.1.1
Ω_c	flat[0.01, 0.9]
σ₈	flat[0.1, 2]
Ω_b	flat[0.038, 0.053]
n_s	flat[0.87, 1.07]
h	flat[0.64, 0.82]
∑m_ν [eV]	fixed at 0.06		flat[0, 0.5] for “∑m_ν varied“
w	fixed at −1	flat[−2, −1/3]
Astrophysical				5.1.2
A_IA	flat[−5, 5]		fixed at 0 for “w/o IA”
η_IA	flat[−5, 5]		fixed at 3 for “IA η_IA = 3”
A_B	fixed at 0		fixed at 1 for “A_B = 1” or flat[−5, 5] for “A_B varied”
Systematics				5.1.3
A_psf	Gauss(1, 1)		fixed at 0 for “w/o PSF error”	appendix 2.1
Δm	Gauss(0, 0.01)		fixed at 0 for “w/o Δm”
Δz₁	Gauss(0, 0.0374)		fixed at 0 for “w/o p(z) error”
Δz₂	Gauss(0, 0.0124)		fixed at 0 for “w/o p(z) error”
Δz₃	Gauss(0, 0.0326)		fixed at 0 for “w/o p(z) error”
Δz₄	Gauss(0, 0.0343)		fixed at 0 for “w/o p(z) error”
A_〈γ〉	fixed at 0		flat[−5, 5] for “w/ const-γ”	appendix 2.2

Prior range

Parameter^*

Fiducial ΛCDM^†

wCDM

Systematics tests

Section

Cosmological

5.1.1

Ω_c

flat[0.01, 0.9]

σ₈

flat[0.1, 2]

Ω_b

flat[0.038, 0.053]

n_s

flat[0.87, 1.07]

flat[0.64, 0.82]

∑m_ν [eV]

fixed at 0.06

flat[0, 0.5] for “∑m_ν varied“

fixed at −1

flat[−2, −1/3]

Astrophysical

5.1.2

A_IA

flat[−5, 5]

fixed at 0 for “w/o IA”

η_IA

flat[−5, 5]

fixed at 3 for “IA η_IA = 3”

A_B

fixed at 0

fixed at 1 for “A_B = 1” or flat[−5, 5] for “A_B varied”

Systematics

5.1.3

A_psf

Gauss(1, 1)

fixed at 0 for “w/o PSF error”

appendix 2.1

Δm

Gauss(0, 0.01)

fixed at 0 for “w/o Δm”

Δz₁

Gauss(0, 0.0374)

fixed at 0 for “w/o p(z) error”

Δz₂

Gauss(0, 0.0124)

fixed at 0 for “w/o p(z) error”

Δz₃

Gauss(0, 0.0326)

fixed at 0 for “w/o p(z) error”

Δz₄

Gauss(0, 0.0343)

fixed at 0 for “w/o p(z) error”

A_〈γ〉

fixed at 0

flat[−5, 5] for “w/ const-γ”

appendix 2.2

	Prior range
Cosmological				5.1.1
Ω_c	flat[0.01, 0.9]
σ₈	flat[0.1, 2]
Ω_b	flat[0.038, 0.053]
n_s	flat[0.87, 1.07]
h	flat[0.64, 0.82]
∑m_ν [eV]	fixed at 0.06		flat[0, 0.5] for “∑m_ν varied“
w	fixed at −1	flat[−2, −1/3]
Astrophysical				5.1.2
A_IA	flat[−5, 5]		fixed at 0 for “w/o IA”
η_IA	flat[−5, 5]		fixed at 3 for “IA η_IA = 3”
A_B	fixed at 0		fixed at 1 for “A_B = 1” or flat[−5, 5] for “A_B varied”
Systematics				5.1.3
A_psf	Gauss(1, 1)		fixed at 0 for “w/o PSF error”	appendix 2.1
Δm	Gauss(0, 0.01)		fixed at 0 for “w/o Δm”
Δz₁	Gauss(0, 0.0374)		fixed at 0 for “w/o p(z) error”
Δz₂	Gauss(0, 0.0124)		fixed at 0 for “w/o p(z) error”
Δz₃	Gauss(0, 0.0326)		fixed at 0 for “w/o p(z) error”
Δz₄	Gauss(0, 0.0343)		fixed at 0 for “w/o p(z) error”
A_〈γ〉	fixed at 0		flat[−5, 5] for “w/ const-γ”	appendix 2.2

Table 1.

Open in new tab

Summary of the cosmological, astrophysical, and systematics parameters used in our cosmological analysis.

	Prior range
Parameter^*	Fiducial ΛCDM^†	wCDM	Systematics tests	Section
Cosmological				5.1.1
Ω_c	flat[0.01, 0.9]
σ₈	flat[0.1, 2]
Ω_b	flat[0.038, 0.053]
n_s	flat[0.87, 1.07]
h	flat[0.64, 0.82]
∑m_ν [eV]	fixed at 0.06		flat[0, 0.5] for “∑m_ν varied“
w	fixed at −1	flat[−2, −1/3]
Astrophysical				5.1.2
A_IA	flat[−5, 5]		fixed at 0 for “w/o IA”
η_IA	flat[−5, 5]		fixed at 3 for “IA η_IA = 3”
A_B	fixed at 0		fixed at 1 for “A_B = 1” or flat[−5, 5] for “A_B varied”
Systematics				5.1.3
A_psf	Gauss(1, 1)		fixed at 0 for “w/o PSF error”	appendix 2.1
Δm	Gauss(0, 0.01)		fixed at 0 for “w/o Δm”
Δz₁	Gauss(0, 0.0374)		fixed at 0 for “w/o p(z) error”
Δz₂	Gauss(0, 0.0124)		fixed at 0 for “w/o p(z) error”
Δz₃	Gauss(0, 0.0326)		fixed at 0 for “w/o p(z) error”
Δz₄	Gauss(0, 0.0343)		fixed at 0 for “w/o p(z) error”
A_〈γ〉	fixed at 0		flat[−5, 5] for “w/ const-γ”	appendix 2.2

	Prior range
Parameter^*	Fiducial ΛCDM^†	wCDM	Systematics tests	Section
Cosmological				5.1.1
Ω_c	flat[0.01, 0.9]
σ₈	flat[0.1, 2]
Ω_b	flat[0.038, 0.053]
n_s	flat[0.87, 1.07]
h	flat[0.64, 0.82]
∑m_ν [eV]	fixed at 0.06		flat[0, 0.5] for “∑m_ν varied“
w	fixed at −1	flat[−2, −1/3]
Astrophysical				5.1.2
A_IA	flat[−5, 5]		fixed at 0 for “w/o IA”
η_IA	flat[−5, 5]		fixed at 3 for “IA η_IA = 3”
A_B	fixed at 0		fixed at 1 for “A_B = 1” or flat[−5, 5] for “A_B varied”
Systematics				5.1.3
A_psf	Gauss(1, 1)		fixed at 0 for “w/o PSF error”	appendix 2.1
Δm	Gauss(0, 0.01)		fixed at 0 for “w/o Δm”
Δz₁	Gauss(0, 0.0374)		fixed at 0 for “w/o p(z) error”
Δz₂	Gauss(0, 0.0124)		fixed at 0 for “w/o p(z) error”
Δz₃	Gauss(0, 0.0326)		fixed at 0 for “w/o p(z) error”
Δz₄	Gauss(0, 0.0343)		fixed at 0 for “w/o p(z) error”
A_〈γ〉	fixed at 0		flat[−5, 5] for “w/ const-γ”	appendix 2.2

For detailed descriptions of the parameters, see sub-subsections 5.1.1 for the cosmological parameters, 5.1.2 for the astrophysical nuisance parameters, and 5.1.3 for the systematics nuisance parameters.

†

“flat[x₁, x₂]” means a flat prior between x₁ and x₂, whereas “Gauss(⁠|$\bar{x}$|⁠, σ)” means a Gaussian prior with the mean |$\bar{x}$| and the standard deviation σ.

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