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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 LagrangianAcceleration) simulations. The $k$-cut method is used to significantlydown-weight sensitivity to small scale ($k > 1 \ h {\rm Mpc }^{-1}$) modes inthe matter power spectrum where the emulator is less accurate, whilesimultaneously ensuring our results are robust to baryonic feedback modeluncertainty. We have also developed a test to ensure that the effects of poorlymodeled small scales are nulled as intended. For $\Lambda$CDM we find $S_8 =\sigma_8 (\Omega_m / 0.3) ^ {0.5} = 0.789 ^{+0.039}_{-0.022}$, while theconstraints on the $f(R)$ modified gravity parameters are prior dominated. Inthe future, the $k$-cut method could be used to constrain a large number oftheories of gravity where computational limitations make it infeasible to modelthe matter power spectrum down to extremely small scales.

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