Phenomenology of Large Scale Structure in scalar-tensor theories: joint prior covariance of $w_{\text{DE}}$, $\Sigma$ and $\mu$ in Horndeski

Abstract

Ongoing and upcoming cosmological surveys will significantly improve our ability to probe the equation of state of dark energy, $w_{\mathrm{DE}}$, and the phenomenology of Large Scale Structure. They will allow us to constrain deviations from the $\Lambda$CDM predictions for the relations between the matter density contrast and the weak lensing and the Newtonian potential, described by the functions $\Sigma$ and $\mu$, respectively. In this work, we derive the theoretical prior for the joint covariance of $w_{\mathrm{DE}}$, $\Sigma$ and $\mu$, expected in general scalar-tensor theories with second order equations of motion (Horndeski gravity), focusing on their time-dependence at certain representative scales. We employ Monte-Carlo methods to generate large ensembles of statistically independent Horndeski models, focusing on those that are physically viable and in broad agreement with local tests of gravity, the observed cosmic expansion history and the measurement of the speed of gravitational waves from a binary neutron star merger. We identify several interesting features and trends in the distribution functions of $w_{\mathrm{DE}}$, $\Sigma$ and $\mu$, as well as in their covariances; we confirm the high degree of correlation between $\Sigma$ and $\mu$ in scalar-tensor theories. The derived prior covariance matrices will allow us to reconstruct jointly $w_{\mathrm{DE}}$, $\Sigma$ and $\mu$ in a non-parametric way.

arXiv comment10 pages, 7 figures - accepted version by PRD

References in corpus (48)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Observation of Gravitational Waves from a Binary Black Hole Merger
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Efficient Computation of CMB anisotropies in closed FRW models
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Beyond the Cosmological Standard Model
• Generalized G-inflation: Inflation with the most general second-order field equations
• Swope Supernova Survey 2017a (SSS17a), the Optical Counterpart to a Gravitational Wave Source
• From k-essence to generalised Galileons
• Varying constants, Gravitation and Cosmology
• Imperfect Dark Energy from Kinetic Gravity Braiding
• The Effective Field Theory of Dark Energy
• Dynamical dark energy in light of the latest observations
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Measuring the dark side (with weak lensing)
• Essential Building Blocks of Dark Energy
• Approaches to Understanding Cosmic Acceleration
• Dark Energy or Modified Gravity? An Effective Field Theory Approach
• Distinguishing Modified Gravity from Dark Energy
• Searching for modified growth patterns with tomographic surveys
• Effective Field Theory of Cosmic Acceleration: an implementation in CAMB
• Gravitational Rainbows: LIGO and Dark Energy at its Cutoff
• Testing gravity with CAMB and CosmoMC
• A Unified Description of Screened Modified Gravity
• CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• How to optimally parametrize deviations from General Relativity in the evolution of cosmological perturbations
• Effective Field Theory of Cosmological Perturbations
• A practical approach to cosmological perturbations in modified gravity
• Examining the evidence for dynamical dark energy
• A Simplified Approach to General Scalar-Tensor Theories
• What can Cosmology tell us about Gravity? Constraining Horndeski with Sigma and Mu
• Cosmological Tests of General Relativity with Future Tomographic Surveys
• Fables of reconstruction: controlling bias in the dark energy equation of state
• Investigating dark energy experiments with principal components
• Cosmological tests of General Relativity: a principal component analysis
• Complementarity of Weak Lensing and Peculiar Velocity Measurements in Testing General Relativity
• Large-scale structure phenomenology of viable Horndeski theories
• Phenomenology of dark energy: general features of large-scale perturbations
• Constraints on Born-Infeld gravity from the speed of gravitational waves after GW170817 and GRB 170817A
• Principal Component Analysis of Modified Gravity using Weak Lensing and Peculiar Velocity Measurements
• Priors on the effective Dark Energy equation of state in scalar-tensor theories
• The Effect of Weak Lensing on the Angular Correlation Function of Faint Galaxies

Cited by in corpus (33)

• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• Cosmological Tests of Gravity
• Probing observational bounds on scalar-tensor theories from standard sirens
• Hints of Nonminimally Coupled Gravity in DESI 2024 Baryon Acoustic Oscillation Measurements
• Reconstructing Gravity on Cosmological Scales
• Can dark energy be dynamical?
• Phenomenology of Modified Gravity at Recombination
• MGCAMB with massive neutrinos and dynamical dark energy
• Generalized framework for testing gravity with gravitational-wave propagation. III. Future prospect
• The road ahead of Horndeski: cosmology of surviving scalar-tensor theories
• Optimising growth of structure constraints on modified gravity
• Principal reconstructed modes of dark energy and gravity
• Model selection applied to reconstructions of the Dark Energy
• Primordial gravitational waves in Horndeski gravity
• Model-independent constraints on ${\Omega }_m$ and $H(z)$ from the link between geometry and growth
• Cosmological Constraints on sub-horizon scales modified gravity theories with MGCLASS II
• New MGCAMB tests of gravity with CosmoMC and Cobaya
• The role of the tachyonic instability in Horndeski gravity
• New cosmological constraints on $f(T)$ gravity in light of full Planck-CMB and type Ia supernovae data
• 50 Years of Horndeski Gravity: Past, Present and Future
• Joint reconstructions of growth and expansion histories from stage-IV surveys with minimal assumptions. II. Modified gravity and massive neutrinos
• Phenomenological Gravitational Phase Transition: Reconciliation between the Late and Early Universe
• Limited Modified Gravity
• Non-minimally coupled gravity constraints from DESI DR2 data
• The impact of the Universe's expansion rate on constraints on modified growth of structure
• Weak gravity on a $\Lambda$CDM background
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• Searching for dark energy in the matter-dominated era
• Exploring Modified Gravity: Constraints on the $\mu$ and $\Sigma$ Parametrization with WMAP, ACT, and SPT
• Testing $f(T)$ Gravity with Cosmological Observations: Confronting the Hubble Tension and Implications for the Late-Time Universe
• Non-linear matter power spectrum without screening dynamics modelling in $f(R)$ gravity
• Theoretical priors in scalar-tensor cosmologies: Shift-symmetric Horndeski models
• Constraining beyond $\Lambda$CDM models with 21cm intensity mapping forecast observations combined with latest CMB data