Publications

Supernovae Ia

15 articles

Les supernovae de type Ia sont des chandelles standardisables : leurs distances retracent l’histoire de l’expansion de l’Univers jusqu’à un redshift d’environ 2. La plupart de mes tests indépendants de tout modèle partent des compilations de supernovae (JLA, Pantheon, Pantheon+ et DES), reconstruites par lissage itératif ou par processus gaussiens.

Combinées aux oscillations acoustiques baryoniques, aux mesures de croissance ou aux amas de galaxies, ces reconstructions testent la platitude de l’Univers, la métrique FLRW et la relativité générale. Elles aident aussi à identifier des effets systématiques, comme les hyper-paramètres des courbes de lumière ou la matrice de covariance de Pantheon+, et à prévoir ce qu’apporteront Rubin/LSST et Roman.

Publications

Reconstructed cluster bias, normalised by the Wicker et al. 2023 model, as a function of redshift (left) and mass (right).
Reconstructed cluster bias, normalised by the Wicker et al. 2023 model, as a function of redshift (left) and mass (right).

2026 · prépublication arXiv

Non-parametric estimation of the baryon gas fraction and the cosmological bias with clusters

Kim, H.†, Wicker, R., L'Huillier, B., Douspis, M., Salvati, L., Shafieloo, A.

From a model-independent expansion history reconstructed from supernovae, we infer with iterative smoothing how the hydrostatic mass bias of galaxy clusters depends on mass and redshift, using X-ray gas fractions. Reconciling clusters with CMB constraints requires this bias to evolve with time.

arXiv:2603.13763

Amas de galaxiesSupernovae IaLissage itératifAvec mes étudiants

Ok(z) from supernova reconstructions combined with DESI DR2, for three data sets, colour-coded by Deltachi2; right: the resulting likelihoods.
Ok(z)\mathcal{O}_k(z) from supernova reconstructions combined with DESI DR2, for three data sets, colour-coded by Δχ2\Delta\chi^2; right: the resulting likelihoods.

L’Univers est-il plat ? Un test avec DESI DR2

2026 · JCAP 08 (2026) 016

Model independent test of the FLRW metric and the curvature in light of DESI DR2

Millard, C.†, L'Huillier, B.*, Douspis, M.

We reconstruct distances and the Hubble rate from Pantheon+ and DES supernovae without assuming any dark energy model, and combine them with DESI DR2 baryon acoustic oscillations to test the FLRW metric and measure the spatial curvature. With Pantheon+ and DESI DR2 we find Ωk,0=0.045−0.081+0.045\Omega_{k,0} = 0.045^{+0.045}_{-0.081}, consistent with flatness and with Planck 2018.

DOI · arXiv:2601.20293

Articles clésCourbure et FLRWSupernovae IaBAOLissage itératifAvec mes étudiants

The curvature diagnostic Ok on mocks from four fiducial models: it recovers Omegak,0 = 0.1 when the input is curved.
The curvature diagnostic Ok\mathcal{O}_k on mocks from four fiducial models: it recovers Ωk,0=0.1\Omega_{k,0} = 0.1 when the input is curved.

Des tests décisifs pour Rubin et DESI

2025 · JCAP 05 (2025) 030

Litmus tests of the flat ΛCDM model and model-independent measurement of H0rdH_0 r_\mathrm{d} with LSST and DESI

L'Huillier, B., Mitra, A., Shafieloo, A., Keeley, R. E., Koo, H.

Reconstructing the expansion history from simulated LSST supernovae and combining it with simulated DESI 5-year BAO, we forecast constraints of up to ±4% on the curvature and ±0.1 on c/(H0rd)c/(H_0 r_\mathrm{d}), without assuming any form of dark energy.

DOI · arXiv:2407.07847

Articles clésCourbure et FLRWSupernovae IaBAOLissage itératifPremier auteur

chi2 of the best-fit flat ΛCDM model on Pantheon+ (red) compared with its distribution over ΛCDM mocks (blue).
χ2\chi^2 of the best-fit flat ΛCDM model on Pantheon+ (red) compared with its distribution over ΛCDM mocks (blue).

2024 · Universe 10 (2024) 439

An analysis of variance of the Pantheon+ dataset: systematics in the covariance matrix?

Keeley, R. E., Shafieloo, A., L'Huillier, B.

The best-fit ΛCDM χ2\chi^2 of Pantheon+ is unusually small, and its residuals scatter less than the covariance matrix predicts, pointing to errors overestimated by about 7%. After accounting for this, no deviation from ΛCDM is found.

DOI · arXiv:2212.07917

Supernovae Ia

Gaussian-process reconstruction of the distance modulus relative to the truth, fully marginalised over hyperparameters and CPL parameters.
Gaussian-process reconstruction of the distance modulus relative to the truth, fully marginalised over hyperparameters and CPL parameters.

Bien utiliser les processus gaussiens

2023 · JCAP 02 (2023) 014

How to use GP: effects of the mean function and hyperparameter selection on Gaussian process regression

Hwang, S.-g.†, L'Huillier, B.*, Keeley, R. E., Jee, M. J., Shafieloo, A.

The choice of mean function and hyperparameters biases Gaussian process reconstructions of supernova distances: a zero mean gives unphysical results and a best-fit ΛCDM mean biases them. Marginalising over a family of mean functions and over the hyperparameters removes the bias, whatever the kernel.

DOI · arXiv:2206.15081

Articles clésSupernovae IaProcessus gaussiensAvec mes étudiants

Joint reconstructions of the effective gravitational coupling, H(z) and fsigma8(z) for three fiducial cosmologies; dashed lines show the truth.
Joint reconstructions of the effective gravitational coupling, H(z)H(z) and fσ8(z)f\sigma_8(z) for three fiducial cosmologies; dashed lines show the truth.

2022 · Phys. Rev. D 106 (2022) 083513

Joint reconstructions of growth and expansion histories from stage-IV surveys with minimal assumptions I: dark energy beyond Λ\Lambda

Calderón, R., L'Huillier, B., Polarski, D., Shafieloo, A., Starobinsky, A. A.

Gaussian processes reconstruct the dark energy density from forecast stage-IV supernova, BAO and redshift-space-distortion data, assuming only a flat FLRW universe that becomes matter-dominated at high redshift, which also yields the growth history. Several dark energy models can be distinguished from ΛCDM at 2σ2\sigma or more.

DOI · arXiv:2206.13820

Énergie noireSupernovae IaBAOCroissance des structures (RSD)Processus gaussiens

Deltachi2 distributions for ΛCDM and PEDE over Roman-like mocks from a third model; vertical lines mark the 95% and 99% limits.
Δχ2\Delta\chi^2 distributions for ΛCDM and PEDE over Roman-like mocks from a third model; vertical lines mark the 95% and 99% limits.

2022 · JCAP 03 (2022) 047

Bayesian vs frequentist: comparing Bayesian model selection with a frequentist approach using the iterative smoothing method

Koo, H., Keeley, R. E., Shafieloo, A., L'Huillier, B.

On simulated Roman supernova data, Bayesian model selection finds the true model when it is among the candidates, but otherwise only picks the least wrong one. A frequentist test based on iterative smoothing can instead conclude that all tested models are false.

DOI · arXiv:2110.10977

Énergie noireSupernovae IaLissage itératifSélection de modèles

Distributions of Deltachi2 between the smoothed and best-fit models over WFIRST-like ΛCDM mocks, for ΛCDM, PEDE and Kink.
Distributions of Δχ2\Delta\chi^2 between the smoothed and best-fit models over WFIRST-like ΛCDM mocks, for ΛCDM, PEDE and Kink.

2021 · JCAP 03 (2021) 034

Model selection and parameter estimation using the iterative smoothing method

Koo, H., Shafieloo, A., Keeley, R. E., L'Huillier, B.

Likelihood distributions derived from the non-parametric iterative smoothing method let us test a dark energy model and estimate its parameters without comparing it to an alternative. On WFIRST-like mocks we quantify how confidently different dark energy models can be distinguished.

DOI · arXiv:2009.12045

Énergie noireSupernovae IaLissage itératifSélection de modèles

Constraints on the JLA light-curve parameters from iterative smoothing (red) compared with ΛCDM, CPL and PEDE.
Constraints on the JLA light-curve parameters from iterative smoothing (red) compared with ΛCDM, CPL and PEDE.

2020 · ApJ 899 (2020) 9

Model-independent constraints on Type Ia supernova light-curve hyper-parameters and reconstructions of the expansion history of the Universe

Koo, H., Shafieloo, A., Keeley, R. E., L'Huillier, B.

Reconstructing the expansion history from JLA supernovae with iterative smoothing while sampling the light-curve hyper-parameters, we find hyper-parameters consistent with those from ΛCDM, CPL and PEDE fits, and no significant redshift evolution.

DOI · arXiv:2001.10887

Supernovae IaLissage itératif

Reconstructions of Omegade(z) (left) and the growth index gamma(z) (right) that fit the growth data better than ΛCDM, for three cases.
Reconstructions of Ωde(z)\Omega_\mathrm{de}(z) (left) and the growth index γ(z)\gamma(z) (right) that fit the growth data better than ΛCDM, for three cases.

2020 · MNRAS 494 (2020) 819

Defying the laws of Gravity I: model-independent reconstruction of the Universe expansion from growth data

L'Huillier, B., Shafieloo, A., Polarski, D., Starobinsky, A. A.

From redshift-space distortion data alone, we reconstruct the growth history with crossing statistics and Gaussian processes, derive the expansion history from it, and fit supernovae to constrain Ωm,0\Omega_{\mathrm{m},0} and σ8,0\sigma_{8,0}. The results are consistent with flat ΛCDM and General Relativity.

DOI · arXiv:1906.05991

Gravité modifiéeCroissance des structures (RSD)Supernovae IaProcessus gaussiensPremier auteur

Gaussian-process reconstructions of 1/H(z) and DL(z) from standard sirens and supernovae for a ΛCDM input, relative to the best-fit ΛCDM.
Gaussian-process reconstructions of 1/H(z)1/H(z) and DL(z)D_L(z) from standard sirens and supernovae for a ΛCDM input, relative to the best-fit ΛCDM.

2020 · MNRAS 491 (2020) 3983

Debiasing cosmic gravitational wave sirens

Keeley, R. E., Shafieloo, A., L'Huillier, B., Linder, E. V.

Gaussian process regression can remove the bias in reconstructing H(z)H(z) from gravitational-wave standard sirens, and combined with supernovae it tests H0H_0 and ΛCDM. Dark-siren redshifts need close to spectroscopic precision to avoid significant bias.

DOI · arXiv:1905.10216

Ondes gravitationnellesSupernovae IaProcessus gaussiens

Iterative smoothing of Pantheon: residuals, h(z), the Om diagnostic and w(z). Every curve fits the data better than the best-fit ΛCDM.
Iterative smoothing of Pantheon: residuals, h(z)h(z), the OmOm diagnostic and w(z)w(z). Every curve fits the data better than the best-fit ΛCDM.

2019 · MNRAS 485 (2019) 2783

Model independent expansion history from supernovae: cosmology versus systematics

L'Huillier, B., Shafieloo, A., Linder, E. V., Kim, A. G.

A model-independent analysis of the Pantheon supernovae shows deviations from ΛCDM at z≳1z \gtrsim 1. They vanish with a simple Malmquist-like correction, but neither χ2\chi^2 tests nor Gaussian processes find that this extra correction is statistically required.

DOI · arXiv:1812.03623

Supernovae IaProcessus gaussiensPremier auteur

Theta(z) (top) and Ok(z) (bottom) from supernovae and BOSS/eBOSS BAO. A flat FLRW universe gives Theta = 1.
Θ(z)\Theta(z) (top) and Ok(z)\mathcal{O}_k(z) (bottom) from supernovae and BOSS/eBOSS BAO. A flat FLRW universe gives Θ=1\Theta = 1.

2018 · Phys. Rev. D 98 (2018) 083526

Falsifying ΛCDM: model-independent tests of the concordance model with eBOSS DR14Q and Pantheon

Shafieloo, A., L'Huillier, B.*, Starobinsky, A. A.

Combining model-independent expansion reconstructions from Pantheon supernovae and BAO, we test the FLRW metric and flatness, and use eBOSS DR14Q growth data to constrain Ωm\Omega_\mathrm{m}, γ\gamma and σ8\sigma_8. Everything is consistent with a flat FLRW universe, General Relativity and Λ\Lambda, with some tension at z>1z > 1.

DOI · arXiv:1804.04320

Articles clésCourbure et FLRWGravité modifiéeSupernovae IaBAOCroissance des structures (RSD)Lissage itératif

Model-independent regions allowed by growth data (blue) compared with ΛCDM (red), at fixed gamma = 0.55 (left) and fixed sigma8 = 0.8 (right).
Model-independent regions allowed by growth data (blue) compared with ΛCDM (red), at fixed γ=0.55\gamma = 0.55 (left) and fixed σ8=0.8\sigma_8 = 0.8 (right).

2018 · MNRAS 476 (2018) 3263

Model-independent cosmological constraints from growth and expansion

L'Huillier, B., Shafieloo, A., Kim, H.†

We reconstruct the expansion history from supernovae and fit growth-rate data to constrain Ωm\Omega_\mathrm{m}, the growth index γ\gamma and σ8\sigma_8 without a dark energy model. The results agree with ΛCDM in General Relativity, and requiring a positive dark energy density tightens them further.

DOI · arXiv:1712.04865

Articles clésGravité modifiéeSupernovae IaCroissance des structures (RSD)Premier auteurAvec mes étudiants

Theta(z) and the curvature diagnostic Ok(z) at the BOSS LOWZ and CMASS redshifts, one point per supernova-based reconstruction. A flat FLRW universe gives Theta = 1 and Ok = 0.
Θ(z)\Theta(z) and the curvature diagnostic Ok(z)\mathcal{O}_k(z) at the BOSS LOWZ and CMASS redshifts, one point per supernova-based reconstruction. A flat FLRW universe gives Θ=1\Theta = 1 and Ok=0\mathcal{O}_k = 0.

Tester ΛCDM sans le supposer

2017 · JCAP 01 (2017) 015

Model-independent test of the FLRW metric, the flatness of the Universe, and non-local measurement of H0rdH_0 r_\mathrm{d}

L'Huillier, B., Shafieloo, A.

Combining BOSS DR12 BAO with JLA supernovae, we measure H0rdH_0 r_\mathrm{d} without assuming a cosmological model and introduce the Θ(z)\Theta(z) diagnostic of the flat-FLRW metric. The results are consistent with a flat FLRW universe within 2σ2\sigma.

DOI · arXiv:1606.06832

Articles clésCourbure et FLRWSupernovae IaBAOLissage itératifPremier auteur

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