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

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 vertical bar f(R0)vertical bar for n = 1. The 95% C.L. is log(10) vertical bar f(R0)vertical bar < -4.82 given WMAP9 priors on (Omega(m), A(s)). With Planck15 priors, the corresponding result is log(10) vertical bar f(R0)vertical bar < -5.16.