Constraining $f(R)$ Gravity with a $k$-cut Cosmic Shear Analysis of the Hyper Suprime-Cam First-Year Data

Abstract

Using Subaru Hyper Suprime-Cam (HSC) year 1 data, we perform the first $k$-cut cosmic shear analysis constraining both $\Lambda$CDM and $f(R)$ Hu-Sawicki modified gravity. To generate the $f(R)$ cosmic shear theory vector, we use the matter power spectrum emulator trained on COLA (COmoving Lagrangian Acceleration) simulations. The $k$-cut method is used to significantly down-weight sensitivity to small scale ($k>1h{\mathrm{Mpc}}^{-1}$) modes in the matter power spectrum where the emulator is less accurate, while simultaneously ensuring our results are robust to baryonic feedback model uncertainty. We have also developed a test to ensure that the effects of poorly modeled small scales are nulled as intended. For $\Lambda$CDM we find $S_8={\sigma }_8({\Omega }_m/0.3{)}^{0.5}=0.789_{-0.022}^{+0.039}$, while the constraints on the $f(R)$ modified gravity parameters are prior dominated. In the future, the $k$-cut method could be used to constrain a large number of theories of gravity where computational limitations make it infeasible to model the matter power spectrum down to extremely small scales.

11 pages, 7 figures. PRD accepted

References in corpus (8)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• COSMOS Photometric Redshifts with 30-bands for 2-deg2
• Dark energy constraints from cosmic shear power spectra: impact of intrinsic alignments on photometric redshift requirements
• Extended Limber Approximation
• Constraints on intrinsic alignment contamination of weak lensing surveys using the MegaZ-LRG sample
• Constraining chameleon models with cosmology
• On the road to percent accuracy IV: ReACT -- computing the non-linear power spectrum beyond $\Lambda$CDM
• Sufficiency of a Gaussian power spectrum likelihood for accurate cosmology from upcoming weak lensing surveys

Cited by in corpus (7)

• The matter density PDF for modified gravity and dark energy with Large Deviations Theory
• Fast simulation mapping: from standard to modified gravity cosmologies using the bias assignment method
• Cosmological gravity on all scales IV: 3x2pt Fisher forecasts for pixelised phenomenological modified gravity
• Forecasting the Constraint on the Hu-Sawicki $f(R)$ Modified Gravity in the CSST $3\times 2$pt Photometric Survey
• Cosmological gravity on all scales V: MCMC forecasts combining large scale structure and CMB lensing for binned phenomenological modified gravity
• The Covariance of Photometric and Spectroscopic Two-Point Statistics: Implications for Cosmological Parameter Inference
• Categorizing models using Self-Organizing Maps: an application to modified gravity theories probed by cosmic shear