Alejandro Avilés

Universidad Intercontinental

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Jorge L. Cervantes–Cota

Center for Research and Advanced Studies of the National Polytechnic Institute

Mariana Vargas-Magaña

Universidad Nacional Autónoma de México

Axel de la Macorra

Universidad Nacional Autónoma de México

H. E. Noriega

Universidad Nacional Autónoma de México

Gustavo Niz

Universidad de Guanajuato

Héctor Gil-Marín

Institut d'Estudis Espacials de Catalunya

Jaime E. Forero-Romero

Universidad de Los Andes

Cullan Howlett

University of Queensland

S. Nadathur

University of Portsmouth

Sihan Yuan

Commissariat à l'Énergie Atomique et aux Énergies Alternatives

Cooperative Institutions

Lawrence Berkeley National Laboratory

109

University of California, Berkeley

The Ohio State University

Fermi National Accelerator Laboratory

Commissariat à l'Énergie Atomique et aux Énergies Alternatives

Institut de Recherche sur les Lois Fondamentales de l'Univers

Universidad Nacional Autónoma de México

University of Michigan–Ann Arbor

CEA Paris-Saclay

Centre National de la Recherche Scientifique

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An analysis of parameter compression and Full-Modeling techniques with Velocileptors for DESI 2024 and beyond

Journal of Cosmology and Astroparticle Physics (2025)

M Maus S. Chen Martin White José Aguilar S. P. Ahlen

Abstract In anticipation of forthcoming data releases of current and future spectroscopic surveys, we present the validation tests and analysis of systematic effects within velocileptors modeling pipeline when fitting mock data from the AbacusSummit N-body simulations. We compare the constraints obtained from parameter compression methods to the direct fitting (Full-Modeling) approaches of modeling the galaxy power spectra, and show that the ShapeFit extension to the traditional template method is consistent with the Full-Modeling method within the standard ΛCDM parameter space. We show the dependence on scale cuts when fitting the different redshift bins using the ShapeFit and Full-Modeling methods. We test the ability to jointly fit data from multiple redshift bins as well as joint analysis of the pre-reconstruction power spectrum with the post-reconstruction BAO correlation function signal. We further demonstrate the behavior of the model when opening up the parameter space beyond ΛCDM and also when combining likelihoods with external datasets, namely the Planck CMB priors. Finally, we describe different parametrization options for the galaxy bias, counterterm, and stochastic parameters, and employ the halo model in order to physically motivate suitable priors that are necessary to ensure the stability of the perturbation theory.

10.1088/1475-7516/2025/01/138

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Towards testing the theory of gravity with DESI: summary statistics, model predictions and future simulation requirements

Journal of Cosmology and Astroparticle Physics (2021)

Shadab Alam Christian Arnold Alejandro Avilés Rachel Bean Yan-Chuan Cai

Abstract Shortly after its discovery, General Relativity (GR) was applied to predict the behavior of our Universe on the largest scales, and later became the foundation of modern cosmology. Its validity has been verified on a range of scales and environments from the Solar system to merging black holes. However, experimental confirmations of GR on cosmological scales have so far lacked the accuracy one would hope for — its applications on those scales being largely based on extrapolation and its validity there sometimes questioned in the shadow of the discovery of the unexpected cosmic acceleration. Future astronomical instruments surveying the distribution and evolution of galaxies over substantial portions of the observable Universe, such as the Dark Energy Spectroscopic Instrument (DESI), will be able to measure the fingerprints of gravity and their statistical power will allow strong constraints on alternatives to GR. In this paper, based on a set of N -body simulations and mock galaxy catalogs, we study the predictions of a number of traditional and novel summary statistics beyond linear redshift distortions in two well-studied modified gravity models — chameleon f ( R ) gravity and a braneworld model — and the potential of testing these deviations from GR using DESI. These summary statistics employ a wide array of statistical properties of the galaxy and the underlying dark matter field, including two-point and higher-order statistics, environmental dependence, redshift space distortions and weak lensing. We find that they hold promising power for testing GR to unprecedented precision. The major future challenge is to make realistic, simulation-based mock galaxy catalogs for both GR and alternative models to fully exploit the statistic power of the DESI survey (by matching the volumes and galaxy number densities of the mocks to those in the real survey) and to better understand the impact of key systematic effects. Using these, we identify future simulation and analysis needs for gravity tests using DESI.

Redshift-space distortions

Observable universe

10.1088/1475-7516/2021/11/050

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Citations (52)

Precision cosmology with Padé rational approximations: Theoretical predictions versus observational limits

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology (2014)

Alejandro Avilés Alessandro Bravetti Salvatore Capozziello Orlando Luongo

We propose a novel approach for parameterizing the luminosity distance, based on the use of rational "Pad\'e" approximations. This new technique extends standard Taylor treatments, overcoming possible convergence issues at high redshifts plaguing standard cosmography. Indeed, we show that Pad\'e expansions enable us to confidently use data over a larger interval with respect to the usual Taylor series. To show this property in detail, we propose several Pad\'e expansions and we compare these approximations with cosmic data, thus obtaining cosmographic bounds from the observable universe for all cases. In particular, we fit Pad\'e luminosity distances with observational data from different uncorrelated surveys. We employ union 2.1 supernova data, baryonic acoustic oscillation, Hubble space telescope measurements and differential age data. In so doing, we also demonstrate that the use of Pad\'e approximants can improve the analyses carried out by introducing cosmographic auxiliary variables, i.e. a standard technique usually employed in cosmography in order to overcome the divergence problem. Moreover, for any drawback related to standard cosmography, we emphasize possible resolutions in the framework of Pad\'e approximants. In particular, we investigate how to reduce systematics, how to overcome the degeneracy between cosmological coefficients, how to treat divergences and so forth. As a result, we show that cosmic bounds are actually refined through the use of Pad\'e treatments and the thus derived best values of the cosmographic parameters show slight departures from the standard cosmological paradigm. Although all our results are perfectly consistent with the $\Lambda$CDM model, evolving dark energy components different from a pure cosmological constant are not definitively ruled out.

10.1103/physrevd.90.043531

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CONSTRAINTS FROM COSMOGRAPHY IN VARIOUS PARAMETRIZATIONS

Alejandro Avilés Christine Gruber Orlando Luongo Hernando Quevedo

10.1142/9789814623995_0227

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Galaxy three-point correlation function in modified gravity

Physical review. D/Physical review. D. (2023)

Alejandro Avilés Gustavo Niz

The next generation of galaxy surveys will provide highly accurate measurements of the large-scale structure of the Universe, allowing for more stringent tests of gravity on cosmological scales. Higher-order statistics are a valuable tool to study the non-Gaussianities in the matter field and to break degeneracies between modified gravity and other physical or nuisance parameters. However, understanding from first principles the behavior of these correlations is essential to characterize deviations from General Relativity (GR), and the purpose of this work. This work uses contemporary ideas of standard perturbation theory on biased tracers to characterize the three-point correlation function at tree level for modified gravity models with a scale-dependent gravitational strength, and applies the theory to two specific models [$f(R)$ and DGP] that are representative for Chameleon and Vainshtein screening mechanisms. Additionally, we use a multipole decomposition, which apart from speeding up the algorithm to extract the signal from data, also helps to visualize and characterize GR deviations.

Fifth force

10.1103/physrevd.107.063525

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Comparing Compressed and Full-modeling Analyses with FOLPS: Implications for DESI 2024 and beyond

arXiv (Cornell University) (2024)

H. E. Noriega Alejandro Avilés Héctor Gil-Marín S. Ramírez-Solano S. Fromenteau

The Dark Energy Spectroscopic Instrument (DESI) will provide unprecedented information about the large-scale structure of our Universe. In this work, we study the robustness of the theoretical modelling of the power spectrum of FOLPS, a novel effective field theory-based package for evaluating the redshift space power spectrum in the presence of massive neutrinos. We perform this validation by fitting the AbacusSummit high-accuracy $N$-body simulations for Luminous Red Galaxies, Emission Line Galaxies and Quasar tracers, calibrated to describe DESI observations. We quantify the potential systematic error budget of FOLPS, finding that the modelling errors are fully sub-dominant for the DESI statistical precision within the studied range of scales. Additionally, we study two complementary approaches to fit and analyse the power spectrum data, one based on direct Full-Modelling fits and the other on the ShapeFit compression variables, both resulting in very good agreement in precision and accuracy. In each of these approaches, we study a set of potential systematic errors induced by several assumptions, such as the choice of template cosmology, the effect of prior choice in the nuisance parameters of the model, or the range of scales used in the analysis. Furthermore, we show how opening up the parameter space beyond the vanilla $\Lambda$CDM model affects the DESI observables. These studies include the addition of massive neutrinos, spatial curvature, and dark energy equation of state. We also examine how relaxing the usual Cosmic Microwave Background and Big Bang Nucleosynthesis priors on the primordial spectral index and the baryonic matter abundance, respectively, impacts the inference on the rest of the parameters of interest. This paper pathways towards performing a robust and reliable analysis of the shape of the power spectrum of DESI galaxy and quasar clustering using FOLPS.

Matter power spectrum

10.48550/arxiv.2404.07269

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Citations (3)

Comparing Compressed and Full-Modeling analyses with FOLPS: implications for DESI 2024 and beyond

Journal of Cosmology and Astroparticle Physics (2025)

H. E. Noriega Alejandro Avilés Héctor Gil-Marín S. Ramirez-Solano S. Fromenteau

Abstract The Dark Energy Spectroscopic Instrument (DESI) will provide unprecedented information about the large-scale structure of our Universe. In this work, we study the robustness of the theoretical modelling of the power spectrum of Folps , a novel effective field theory-based package for evaluating the redshift space power spectrum in the presence of massive neutrinos. We perform this validation by fitting the AbacusSummit high-accuracy N -body simulations for Luminous Red Galaxies, Emission Line Galaxies and Quasar tracers, calibrated to describe DESI observations. We quantify the potential systematic error budget of Folps finding that the modelling errors are fully sub-dominant for the DESI statistical precision within the studied range of scales. Additionally, we study two complementary approaches to fit and analyse the power spectrum data, one based on direct Full-Modelling fits and the other on the ShapeFit compression variables, both resulting in very good agreement in precision and accuracy. In each of these approaches, we study a set of potential systematic errors induced by several assumptions, such as the choice of template cosmology, the effect of prior choice in the nuisance parameters of the model, or the range of scales used in the analysis. Furthermore, we show how opening up the parameter space beyond the vanilla ΛCDM model affects the DESI observables. These studies include the addition of massive neutrinos, spatial curvature, and dark energy equation of state. We also examine how relaxing the usual Cosmic Microwave Background and Big Bang Nucleosynthesis priors on the primordial spectral index and the baryonic matter abundance, respectively, impacts the inference on the rest of the parameters of interest. This paper pathways towards performing a robust and reliable analysis of the shape of the power spectrum of DESI galaxy and quasar clustering using Folps .

10.1088/1475-7516/2025/01/136

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Citations (4)

Emerging the dark sector from thermodynamics of cosmological systems with constant pressure

General Relativity and Gravitation (2015)

Alejandro Avilés Norman Cruz Jaime Klapp Orlando Luongo

Cosmological constant

Quintessence

10.1007/s10714-015-1904-6

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Citations (20)

Cosmography with the Hubble Rate: The Eis Approach