Future CMB ISW-Lensing bispectrum constraints on modified gravity in the Parameterized Post-Friedmann formalism

Abstract

We forecast the constraints on both Hu-Sawicki model and Bertschinger-Zukin model of modified gravity within the Parameterized Post-Friedmann (PPF) formalism for the Planck satellite experiment by performing the joint analysis of ISW-Lensing bispectrum and CMB power spectrum. We find that, even considering the temperature-temperature mode of CMB power spectrum only, Planck data are expected to reduce the error bars on the modified gravity parameter $B_0$ (related to the present value of Compton wavelength of the extra scalar degree of freedom) at least one order magnitude compared with WMAP. The spectrum-bispectrum joint analysis can further improve the results by a factor ranging from 1.14 to 5.32 depending on the specific modified gravity model. One of our main results is that the cross-correlation between ISW-Lensing bispectrum and power spectrum can be safely neglected when performing the joint analysis. For simplicity, we only investigate the likelihood of one parameter ({$B_0$}) and fix all other cosmological parameters to their best-fit values in WMAP7yr results.

Updates to the published version. 1 figure added, references added, some explanations improved

References in corpus (28)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• The Large Scale Structure of f(R) Gravity
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Measuring the dark side (with weak lensing)
• A discriminating probe of gravity at cosmological scales
• Correlation of CMB with large-scale structure: I. ISW Tomography and Cosmological Implications
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Distinguishing Modified Gravity from Dark Energy
• Cosmology and the Bispectrum
• Searching for modified growth patterns with tomographic surveys
• Observational Tests of Modified Gravity
• Crossing the Phantom Divide with Parameterized Post-Friedmann Dark Energy
• Cluster Constraints on f(R) Gravity
• Cosmic Microwave Weak lensing data as a test for the dark universe
• Testing gravity with CAMB and CosmoMC
• Correlation of CMB with large-scale structure: II. Weak lensing
• Current constraints on the cosmic growth history
• On the Growth of Perturbations as a Test of Dark Energy
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• The acceleration of the universe and the physics behind it
• Weak Lensing Probes of Modified Gravity
• Parametrized Post-Friedmann Signatures of Acceleration in the CMB
• Is Modified Gravity Required by Observations? An Empirical Consistency Test of Dark Energy Models
• Practical solutions for perturbed f(R) gravity
• Parametrised modified gravity and the CMB Bispectrum
• Cosmic Microwave Background Bispectrum from the Lensing--Rees-Sciama Correlation Reexamined: Effects of Non-linear Matter Clustering

Cited by in corpus (11)

• Testing General Relativity in Cosmology
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• Constraining models of $f(R)$ gravity with Planck and WiggleZ power spectrum data
• Halo modelling in chameleon theories
• Testing Hu-Sawicki f(R) gravity with the Effective Field Theory approach
• Parametrized modified gravity constraints after Planck
• On the current status of Modified Gravity
• Polarization bispectrum for measuring primordial magnetic fields
• Probing Modified Gravity Theories with ISW and CMB Lensing
• Lensing-induced morphology changes in CMB temperature maps in modified gravity theories
• Estimates of cluster masses in screened modified gravity