Constraining $f(R)$ Gravity Theory Using Weak Lensing Peak Statistics from the Canada-France-Hawaii-Telescope Lensing Survey

Abstract

In this Letter, we report the observational constraints on the Hu-Sawicki $f(R)$ theory derived from weak lensing peak abundances, which are closely related to the mass function of massive halos. In comparison with studies using optical or x-ray clusters of galaxies, weak lensing peak analyses have the advantages of not relying on mass-baryonic observable calibrations. With observations from the Canada-France-Hawaii-Telescope Lensing Survey, our peak analyses give rise to a tight constraint on the model parameter $|f_{R0}|$ for $n=1$. The $95\%$ CL limit is ${\log }_{10}|f_{R0}|<-4.82$ given WMAP9 priors on $({\Omega }_{\mathrm{m}},A_{\mathrm{s}})$. With Planck15 priors, the corresponding result is ${\log }_{10}|f_{R0}|<-5.16$.

6 pages, 3 figures. Updated to journal version

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