MGHalofit is a modified gravity extension of the fitting formula for the matter power spectrum of HALOFIT and its improvement by Takahashi et al. MGHalofit is implemented in MGCAMB, which is based on CAMB. MGHalofit calculates the nonlinear matter power spectrum P(k) for the Hu-Sawicki model. Comparing MGHalofit predictions at various redshifts (z<=1) to the f(R) simulations, the accuracy on P(k) is 6% at k<1 h/Mpc and 12% at 1<k<10 h/Mpc respectively.
https://ui.adsabs.harvard.edu/abs/2014ApJS..211...23Z , https://ui.adsabs.harvard.edu/abs/2011JCAP...08..005H , and https://ui.adsabs.harvard.edu/abs/2009PhRvD..79h3513Z