DESI DR2: Survey Overview and Cosmological Constraints from the Baryon Acoustic Oscillations

Arnaud de Mattia

on behalf of the DESI collaboration

Nice, March 25th

Thanks to our sponsors and

72 Participating Institutions!

DESI 3D Map

Physics program
- Galaxy and quasar clustering
- Lyman-alpha forest
- Clusters and cross-correlations
- Galaxy and quasar physics
- Milky Way Survey
- Transients and low-z

DESI 3D Map

Physics program
- Galaxy and quasar clustering
- Lyman-alpha forest

- Clusters and cross-correlations
- Galaxy and quasar physics
- Milky Way Survey
- Transients and low-z

DESI: a stage IV survey

10 years = \(10 \times \)

DESI DR1-5 galaxy samples

8 years

\(\sim 60\)M extra-galactic redshifts over 17k \(\mathrm{deg}^2\)

From images to redshifts

imaging surveys (2014 - 2019) + WISE (IR)

target selection

spectroscopic observations

spectra and redshift measurements

Mayall Telescope

focal plane 5000 fibers

wide-field corrector

6 lenses, FoV \(\sim 8~\mathrm{deg}^{2}\)

Kitt Peak, AZ

4 m mirror

Mayall Telescope

focal plane 5000 fibers

fiber view camera

ten 3-channel spectrographs

49 m, 10-cable fiber run

Kitt Peak, AZ

Focal plane: 5000 robotic positioners

86 cm

Focal plane: 5000 robotic positioners

Exposure time (dark): 1000 s

Configuration of the focal plane
CCD readout
Go to next pointing

140 s

0.1 mm

Spectroscopic pipeline

wavelength

fiber number

\(z = 2.1\) QSO

\(z = 0.9\) ELG

Ly\(\alpha\)

CIV

CIII

[OII] doublet at \(3727 \AA\) up to \(z = 1.6\)

[OII]

Ly\(\alpha\) at \(1216 \AA\) down to \(z = 2.0\)

DESI data release 2 (DR2)

Observations from May 14th 2021 to April 9th 2024

approved

construction started

first light

survey started

DR1 data sample

DR1 results

DR2 sample secured

DR3

DR2 results

2015

16

17

18

19

20

22

23

24

21

25

26

27

DESI data release 2 (DR2)

  • 30M galaxy and QSO redshifts in 3 years of operation
  • 14M used in the DR2 analysis (6M in DR1)
  • Including 820,000 Ly\(\alpha\) QSO at \(z > 2.09\) (420,000 in DR1)
  • \(> 2\times\) increase in number of tracers

higher completeness (deeper)

extended mag cut

Release of DESI DR2 (BAO) results

March 19th 2025

First batch of DESI DR2 cosmological analyses: https://data.desi.lbl.gov/doc/papers/dr2


• DESI Collaboration et al. (2025), DESI DR2 Results I: Baryon Acoustic Oscillations from the Lyman Alpha Forest
• DESI Collaboration et al. (2025), DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints

Companion supporting papers:

Lodha et al. (2025), Extended Dark Energy analysis

Elbers et al. (2025), Constraints on Neutrino Physics

Andrade et al. (2025), Validation of the DESI DR2 BAO mesurements

Casas et al. (2025), Validation of the DESI DR2 Lyα BAO analysis using synthetic datasets

Brodzeller et al. (2025), Construction of the Damped Lyα Absorber Catalog for DESI DR2 Lyα BAO

DR1 public!

Baryon Acoustic Oscillations

Sound waves in primordial plasma

At recombination (\(z \simeq 1100\))

  • plasma changes to optically thin
  • baryons decouple from photons
  • sound wave stalls after travelling \(r_\mathrm{d}\)

Sound horizon scale at the drag epoch

\(r_\mathrm{d} \simeq 150\; \mathrm{Mpc}\)

standard ruler

Baryon Acoustic Oscillations

CMB (\(z \simeq 1100\))

Sound waves in primordial plasma

At recombination (\(z \simeq 1100\))

  • plasma changes to optically thin
  • baryons decouple from photons
  • sound wave stalls after travelling \(r_\mathrm{d}\)

Sound horizon scale at the drag epoch

\(r_\mathrm{d} \simeq 150\; \mathrm{Mpc}\)

standard ruler

CMB (\(z \simeq 1100\))

LSS

Baryon Acoustic Oscillations

BAO measurements

distribution of galaxies (cartoonish)

\theta_\mathrm{BAO} = r_\mathrm{d} / D_\mathrm{M}(z)

transverse comoving distance

sound horizon \(r_\mathrm{d}\)

  • angle on the sky (transverse to the line-of-sight): \(\theta_\mathrm{BAO} = \orange{r_\mathrm{d}}/\green{D_\mathrm{M}(z)}\)
  • \(\Delta z\) (along the line-of-sight): \( \Delta z_\mathrm{BAO} = r_\mathrm{d} / D_\mathrm{H}(z) = \green{H(z)} \orange{r_\mathrm{d}} / c \)

BAO measurements

distribution of galaxies (cartoonish)

\Delta z_\mathrm{BAO} = r_\mathrm{d} / D_\mathrm{H}(z)

Hubble distance \(c/H(z)\)

sound horizon \(r_\mathrm{d}\)

  • angle on the sky (transverse to the line-of-sight): \(\theta_\mathrm{BAO} = \orange{r_\mathrm{d}}/\green{D_\mathrm{M}(z)}\)
  • \(\Delta z\) (along the line-of-sight): \( \Delta z_\mathrm{BAO} = r_\mathrm{d} / D_\mathrm{H}(z) = \green{H(z)} \orange{r_\mathrm{d}} / c \)

BAO measurements

  • angle on the sky (transverse to the line-of-sight): \(\theta_\mathrm{BAO} = \orange{r_\mathrm{d}}/\green{D_\mathrm{M}(z)}\)
  • \(\Delta z\) (along the line-of-sight): \( \Delta z_\mathrm{BAO} = r_\mathrm{d} / D_\mathrm{H}(z) = \green{H(z)} \orange{r_\mathrm{d}} / c \)
  • at multiple redshifts \(z\)

Probes the expansion history (\(\green{D_\mathrm{M}, D_H}\)), hence the energy content (e.g. dark energy)

Absolute size at \(z = 0\): \(H_0 \orange{r_\mathrm{d}}\)

z_1
z_2
z_3

BAO measurements

correlation function

BAO peak

line of sight

monopole

BAO measurements

correlation function

\alpha_\mathrm{iso} \propto (D_{\mathrm{M}}^{2}(z) D_\mathrm{H}(z))^{1/3} / r_\mathrm{d}

BAO peak

line of sight

monopole

isotropic

comoving transverse distance

Hubble distance \(c/H(z)\)

sound horizon (standard ruler)

BAO measurements

isotropic

anisotropic

\propto D_{\mathrm{M}}(z) / D_\mathrm{H}(z)

BAO peak

line of sight

line of sight

monopole

quadrupole

\propto (D_{\mathrm{M}}^{2}(z) D_\mathrm{H}(z))^{1/3} / r_\mathrm{d}

low S/N

BAO detection: \(14.7\sigma\)

0.1 < z < 0.4

0.4 < z < 0.6

0.6 < z < 0.8

0.8 < z < 1.1

1.1 < z < 1.6

Ly\(\alpha\) forest

Ly\(\alpha\) forest

Absorption in QSO spectra by neutral hydrogen in the intergalactic medium: \(\lambda_\mathrm{abs} = (1 + z_\mathrm{HI}) \times 1215.17 \; \AA \)

Transmitted flux fraction \(F = e^{-\tau}\) probes the fluctuation in neutral hydrogen density, \(\tau \propto n_\mathrm{HI} \)

credit: Andrew Pontzen

Correlation functions

Ly\(\alpha\) forest auto-correlation

\(\langle \delta_F(\mathbf{x}) \delta_F(\mathbf{x + s}) \rangle\)

Ly\(\alpha\) forest - QSO cross-correlation

\(\langle \delta_F(\mathbf{x}) Q(\mathbf{x + s}) \rangle\)

DESI DR2 BAO

DESI DR2 BAO measurements

\propto (D_{\mathrm{M}}^{2}(z) D_\mathrm{H}(z))^{1/3} / r_\mathrm{d}

DESI DR2 BAO

DESI DR2 BAO measurements

DESI DR2 BAO

DESI DR2 BAO measurements

DESI DR2 BAO

DESI DR2 BAO measurements

DESI DR2 BAO

DESI DR2 BAO measurements

DESI DR2 BAO

DESI DR2 BAO measurements

DESI DR2 BAO

DESI DR2 BAO measurements

Consistent with each other,

and complementary

\underbrace{\begin{align*} \Omega_\mathrm{m} &= 0.2975 \pm 0.0086 & \mathbf{(3.0\%)} \\ H_{0} r_\mathrm{d} &= (101.54 \pm 0.73) \, [100 \, \mathrm{km} \, \mathrm{s}^{-1}] & \mathbf{(0.7\%)} \end{align*}}_{\textstyle \text{\color{black}{DESI}}}

DESI DR2 BAO

DESI DR2 BAO measurements

  • DESI DR2 BAO fully consistent with DESI DR1
  • Improvement of \(\simeq 40\%\)
  • \(2.3 \sigma\) discrepancy with primary CMB¹ + CMB lensing²

Consistency with other data

1. Planck PR4 CamSpec

2. Planck PR4 + ACT DR6 lensing

BAO vs CMB

SPA = SPT+Planck+ACT

  • BAO constrains \(\Omega_\mathrm{m}\), \(h \times r_d(\Omega_\mathrm{b}h^2, \Omega_\mathrm{m}h^2)\)
  • Calibrating BAO relative distance measurements using BBN \(\Omega_\mathrm{b} h^2\)

 

\(\Lambda\mathrm{CDM}\) constraints

\underbrace{ H_0 = (68.51 \pm 0.58) \, {\rm km\,s^{-1}\,Mpc^{-1}} }_{\textstyle \color{darkblue}{\text{DESI} + \text{BBN}}}

\(\Lambda\mathrm{CDM}\) constraints

\underbrace{ H_0 = (68.45 \pm 0.47) \, {\rm km\,s^{-1}\,Mpc^{-1}} }_{\textstyle \color{orange}{\text{DESI} + \theta_\ast + \text{BBN}}}
  • BAO constrains \(\Omega_\mathrm{m}\), \(h \times r_d(\Omega_\mathrm{b}h^2, \Omega_\mathrm{m}h^2)\)
  • Calibrating BAO relative distance measurements using BBN \(\Omega_\mathrm{b} h^2\)

 

\underbrace{ H_0 = (68.51 \pm 0.58) \, {\rm km\,s^{-1}\,Mpc^{-1}} }_{\textstyle \color{darkblue}{\text{DESI} + \text{BBN}}}
  • Adding very precise CMB acoustic angular scale

\(\Lambda\mathrm{CDM}\) constraints

  • BAO constrains \(\Omega_\mathrm{m}\), \(h \times r_d(\Omega_\mathrm{b}h^2, \Omega_\mathrm{m}h^2)\)
  • Calibrating BAO relative distance measurements using BBN \(\Omega_\mathrm{b} h^2\)

 

\underbrace{ H_0 = (68.51 \pm 0.58) \, {\rm km\,s^{-1}\,Mpc^{-1}} }_{\textstyle \color{darkblue}{\text{DESI} + \text{BBN}}}
  • Dark energy fluid

 

 

 

  • No strong preference for dark energy evolution: \(1.7\sigma\) from DESI data alone

Dark Energy Equation of State

\(\Lambda\)

p / \rho = w = w_0 + w_a (1 - a)

pressure

density

CPL

  • Combining DESI + CMB:

Dark Energy Equation of State

\underbrace{ w_{0} = -0.42 \pm 0.21 \qquad w_{a} = -1.75 \pm 0.58 }_{\textstyle \textcolor{orange}{\text{DESI + CMB} \; \implies \; 3.1\sigma}}
  • CMB early-Universe priors: \(2.4\sigma\)
  • Without CMB lensing \(2.7\sigma\)

\(+0.5\sigma\) compared to DR1

Dark Energy Equation of State

Combining all DESI + CMB + SN

\underbrace{ w_{0} = -0.838 \pm 0.055 \qquad w_{a} = -0.62^{+0.22}_{-0.19} }_{\textstyle \textcolor{blue}{\text{DESI + CMB + Pantheon+} \; \implies \; 2.8\sigma}}
\underbrace{ w_{0} = -0.667 \pm 0.088 \qquad w_{a} = -1.09^{+0.31}_{-0.27} }_{\textstyle \color{orange}{\text{DESI + CMB + Union3} \; \implies \; 3.8\sigma}}
\underbrace{ w_{0} = -0.752 \pm 0.057 \qquad w_{a} = -0.86^{+0.23}_{-0.20} }_{\textstyle \color{green}{\text{DESI + CMB + DES-SN5YR} \; \implies \; 4.2\sigma}}

\(+0.3\sigma\) compared to DR1

Dark Energy Equation of State

Combining all DESI + CMB + SN

\underbrace{ w_{0} = -0.838 \pm 0.055 \qquad w_{a} = -0.62^{+0.22}_{-0.19} }_{\textstyle \textcolor{blue}{\text{DESI + CMB + Pantheon+} \; \implies \; 2.8\sigma}}
\underbrace{ w_{0} = -0.667 \pm 0.088 \qquad w_{a} = -1.09^{+0.31}_{-0.27} }_{\textstyle \color{orange}{\text{DESI + CMB + Union3} \; \implies \; 3.8\sigma}}
\underbrace{ w_{0} = -0.752 \pm 0.057 \qquad w_{a} = -0.86^{+0.23}_{-0.20} }_{\textstyle \color{green}{\text{DESI + CMB + DES-SN5YR} \; \implies \; 4.2\sigma}}

Dovekie \(3.3\sigma\)

Understanding tensions

Understanding tensions

doesn't fit the SN!

Understanding tensions

doesn't fit the BAO!

Understanding tensions

\(w\mathrm{CDM}\) not flexible enough to fit all 3 datasets!

w = -0.970

Understanding tensions

\(w_0w_a\mathrm{CDM}\) fits all 3 datasets!

Sum of neutrino masses

Internal CMB degeneracies limiting precision on the sum of neutrino masses

Broken by BAO

Sum of neutrino masses

Internal CMB degeneracies limiting precision on the sum of neutrino masses

Broken by BAO, which favors low \(\Omega_\mathrm{m}\)

\sum m_\nu < 0.064 \, \mathrm{eV} \; (95\%, \text{DESI + CMB})

Sum of neutrino masses

Internal CMB degeneracies limiting precision on the sum of neutrino masses

Broken by BAO, which favors low \(\Omega_\mathrm{m}\)

\sum m_\nu < 0.064 \, \mathrm{eV} \; (95\%, \text{DESI + CMB})
\sum m_\nu < 0.077 \, \mathrm{eV} \; (95\%, \text{L-H})
\sum m_\nu < 0.069 \, \mathrm{eV} \; (95\%, \text{PR3})

Variations of the CMB likelihood

Sum of neutrino masses

Internal CMB degeneracies limiting precision on the sum of neutrino masses

Broken by BAO, which favors low \(\Omega_\mathrm{m}\)

\sum m_\nu < 0.163 \, \mathrm{eV} \; (95\%, w_0w_a\mathrm{CDM})

Limit relaxed for \(w_0w_a\mathrm{CDM}\)

\sum m_\nu < 0.064 \, \mathrm{eV} \; (95\%, \text{DESI + CMB})

Summary

DESI already has the most precise BAO measurements ever (40% more precise than DR1)

 

DESI in mild, growing, tension with Planck \((2.3\sigma)\) and SN \((\sim 2\sigma)\) when interpreted in the ΛCDM model

 

Tightest upper bound on \(\sum m_\nu\), increasing tension with neutrino oscillations

 

Evidence for time-varying Dark Energy equation of state has increased with the DR2 BAO data by \(0.3\sigma\): CMB: \(3.1\sigma\), SN: \(2.8 - 4.2\sigma\). \(w_0w_a\mathrm{CDM}\) fixes above tensions (not \(H_0\)!).

But it's not the end yet!

In November 2024: DR1 Full-Shape results (probing the growth of structure)

\(S_8 = \sigma_8(\Omega_\mathrm{m} / 0.3)^{0.5}\)

General Relativity

But it's not the end yet!

In November 2024: DR1 Full-Shape results (probing the growth of structure)

With DR2 - stay tuned (\(\sim\) September 2026)!

  • Full-Shape from power spectrum & bispectrum
  • Primordial non-Gaussianity
  • x CMB lensing
  • x galaxy weak lensing
  • Low-\(z\) growth of structure with peculiar velocities

DR3...

DR3... and beyond (DR5)!

14k \(\Rightarrow\) 17k \(\mathrm{deg}^2\)
\(\mathrm{Dec.} > -30°\)

At the end of DESI

With CMB + BAO alone

We will start DESI-II (2029 - 2035)!

  • As powerful as DESI (< % BAO precision), at \(z>2\): dark energy, primordial non-Gaussianity, neutrinos
  • High density at \(z \lesssim 1\): Dark Energy, Modified Gravity
  • Dark Matter: stellar streams, Andromeda

Back-up

Robustness tests

tracers / redshift bins

data vector

Robustness tests

tracers / redshift bins

BAO modelling

Robustness tests

tracers / redshift bins

imaging systematics

Robustness tests

tracers / redshift bins

data splits

Robustness tests

data vector / covariance

Robustness tests

modelling choices

Robustness tests

continuum fitting

Robustness tests

data splits

Robustness tests

Removing low-\(z\) SN

"Replacing CMB": DESY3 \(3\times2\)pt

\(3.3\sigma\)

Other datasets

Analysis pipeline mostly the same as DR1

Again, blind analysis to mitigate observer / confirmation biases (catalog-level blinding)

Anisotropic BAO measurements for QSO (and low-\(z\) ELG)

Minor updates:

- revised min fitting range (\(60 < s / [\mathrm{Mpc}/h] < 150\))

- revised systematic budget (theory, fiducial cosmology, HOD): \(\sigma_\mathrm{stat+syst} < 1.09 \sigma_\mathrm{stat}\)

Many more robustness tests

What's new in the BAO analysis?

BAO reconstruction

  • Non-linear structure growth and peculiar velocities smear (and slightly displace) the BAO peak
  • Reconstruction: estimate Zeldovich displacements from observed field and move galaxies back \(\rightarrow\) refurbishes the ruler (improves precision and accuracy)

Analysis pipeline mostly the same as DR1

Again, blind analysis to mitigate observer / confirmation biases (data vector-level blinding)

Improved modelling of metals and continuum-fitting distortions

What's new in the Ly\(\alpha\) analysis?

Analysis pipeline mostly the same as DR1

Again, blind analysis to mitigate observer / confirmation biases (data vector-level blinding)

Improved modelling of metals and continuum-fitting distortions

New catalog of Damped Lyman-\(\alpha\) systems (masked)

Improved mocks and associated studies

Revised fitting range and priors on nuisance parameters

Include a small (0.3%) theory systematic uncertainty for non-linear BAO shift, \(\sigma_\mathrm{stat+syst} < 1.06 \sigma_\mathrm{stat}\)

What's new in the Ly\(\alpha\) analysis?

Robustness tests

Robust to various Planck likelihoods:

- CamSpec (baseline)

- Plik (PR3)

- LiLLiPoP-LolliPoP (PR4)

\(\Lambda\mathrm{CDM}\) constraints

  • DESI \(\Omega_\mathrm{m}\) lower than the CMB (\(1.8\sigma\)) 
  • DESI \(\Omega_\mathrm{m}\) lower than SN:
    • Pantheon+: \(1.7\sigma\)
    • Union3: \(2.1\sigma\)
    • DESY5: \(2.9\sigma\)

Understanding tensions

DESI data release 1 (DR1)

Observations from May 14th 2021 to June 12th 2022

DESI data release 2 (DR2)

asgn. comp. DR1 # good z
DR1
asgn. comp. DR2 z. comp
DR2
# of good z DR2
BGS 64% 0.3M 76% 99% 1.2M
LRG 69% 2.1M 83% 99% 4.5M
ELG 35% 2.4M 54% 74% 6.5M
QSO 87% 1.2M 94% 68% 2M

more observations

Ly\(\alpha\) forest

Binned dark energy

  • Binned reconstruction of \(w(z)\)
    without assuming a functional form for the EoS
  • \(\simeq 4\sigma\) preference for \(w > -1\) in the first redshift bin
  • Consistent with \(w_0, w_a\) parameterization

Pre/post DESI

DESI vs BOSS/eBOSS

LRG2 (worst case)

\(2.8\sigma \, (\mathrm{DR1}) \Rightarrow 2.3\sigma \, (\mathrm{DR2})\)

Dark energy

DE parameters

q(z)\equiv{-\frac{\ddot{a}a}{\dot{a}^2}}=\frac{d\ln H}{d\ln(1+z)}-1
Om(z)\equiv\frac{h^2(z)-1}{(1+z)^3-1}
f_{\rm DE}(z) \equiv \frac{\rho_\mathrm{DE}(z)}{\rho_\mathrm{DE,0}}

DR2 footprint

Full Shape measurements

clustering

We fit the "full shape" (FS) of the galaxy power spectrum multipoles

Full Shape measurements

RSD

observed redshift = Hubble flow and peculiar velocities (RSD = "redshift space distortions")

v_\mathrm{pec} \propto f\sigma_8

shape

(\( \Omega_\mathrm{cdm} h^2, \Omega_\mathrm{b} h^2, n_\mathrm{s}, \sum m_\nu \))

growth of structure \(f\sigma_8\) sensitive to the theory of gravity and dark energy

We fit the "full shape" (FS) of the galaxy power spectrum multipoles

DR1 Full Shape + BAO

\(\omega_\mathrm{b}\): BBN, \(n_\mathrm{s} \sim \mathcal{G}(0.9649, 0.042^2)\)

\(\omega_\mathrm{b}\): BBN, \(n_\mathrm{s} \sim \mathcal{G}(0.9649, 0.042^2)\)

DR1 Full Shape + BAO

\(\omega_\mathrm{b}\): BBN, \(n_\mathrm{s} \sim \mathcal{G}(0.9649, 0.042^2)\)

DR1 Full Shape + BAO

\(\omega_\mathrm{b}\): BBN, \(n_\mathrm{s} \sim \mathcal{G}(0.9649, 0.042^2)\)

DR1 Full Shape + BAO

\(\omega_\mathrm{b}\): BBN, \(n_\mathrm{s} \sim \mathcal{G}(0.9649, 0.042^2)\)

DR1 Full Shape + BAO

\(\omega_\mathrm{b}\): BBN, \(n_\mathrm{s} \sim \mathcal{G}(0.9649, 0.042^2)\)

DR1 Full Shape + BAO

\underbrace{\begin{align*} \Omega_\mathrm{m} &= 0.2962\pm 0.0095 & \mathbf{(3.2\%)} \\ \sigma_8 &= 0.842\pm 0.034 & \mathbf{(4.0\%)} \\ H_0 &= (68.56\pm 0.75) \, {\rm km\,s^{-1}\,Mpc^{-1}} & \mathbf{(1.1\%)} \end{align*}}_{\textstyle \text{DESI + BBN + $n_{s10}$}}

\(\omega_\mathrm{b}\): BBN, \(n_\mathrm{s} \sim \mathcal{G}(0.9649, 0.042^2)\)

DR1 Full Shape + BAO

\(S_8\) constraints

  • ​Consistency with SDSS
  • In agreement with CMB
  • Weak lensing prefers lower \(S_8\), but still consistent
\underbrace{ S_8 = 0.836 \pm 0.035 }_{\textstyle \text{\color{blue}{DESI + BBN + $n_{s10}$}}}

\(S_8 = \sigma_8 (\Omega_\mathrm{m} / 0.3)^{0.5}\) best constrained by weak lensing surveys

Modified gravity constraints

Perturbed FLRW metric

\(ds^2=a(\tau)^2[-(1+2\orange{\Psi})d\tau^2+(1-2\orange{\Phi})\delta_{ij}dx^i dx^j]\)

At late times:

(mass) \(k^2\orange{\Psi} = -4\pi G a^2 \green{\mu(a,k)} \blue{\sum_i\rho_i\Delta_i}\)

(light)  \(k^2(\orange{\Phi} + \orange{\Psi})=-8\pi G a^2 \green{\Sigma(a,k)} \blue{\sum_i\rho_i\Delta_i}\)

gravitational potentials

density perturbations

\mu(a) = 1 + \frac{\Omega_\Lambda(a)}{\Omega_\Lambda} \green{\mu_0}
\Sigma(a) = 1 + \frac{\Omega_\Lambda(a)}{\Omega_\Lambda} \green{\Sigma_0}

Modified gravity constraints

\(\Sigma_0\) constrained by

- CMB (ISW and lensing)

- galaxy lensing

\underbrace{\begin{align*} \mu_0 &= 0.04\pm 0.22 \\ \Sigma_0 &= 0.045\pm 0.046 \end{align*}}_{\textstyle \text{\color{purple}{DESI + CMB-nl + DESY3 ($3\times 2$-pt)}}}
\underbrace{ \mu_0 = 0.11^{+0.45}_{-0.54} }_{\textstyle \text{\color{blue}{DESI + BBN + $n_{\mathrm{s}10}$}}}

compared to CMB-nl + DESY3 (3x2pt) only: \(\sigma(\mu_0) / 2.5\), \(\sigma(\Sigma_0) / 2\)

DESI constrains

WST_March2026

By Arnaud De Mattia

WST_March2026

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