Convolution Lagrangian Perturbation Theory for biased tracers beyond general relativity

We extend the Convolution Lagrangian Perturbation Theory (CLPT) resummation formalism to analytically predict real and Fourier space two-point statistics for biased tracers in f(R) Hu-Sawicki and the nDGP braneworld modified gravity theories and compare the CLPT performance against predictions from Standard Perturbation Theory (SPT) and Lagrangian Resummation Theory. We show that the novel physics of gravitational collapse in scalar tensor theories with the chameleon or the Vainshtein screening mechanism, including sensitivity to the environment, can be effectively factored into CLPT with bias parameters analytically predicted through the Peak-Background Split formalism. Through comparison against state of the art N-body simulations we demonstrate that CLPT and SPT approaches provide accurate analytic methods to predict the correlation function and power spectra, respectively, for biased tracers in modified gravity models and are able to characterize both the BAO, power-law and small scale regimes needed for upcoming galaxy surveys such as DESI, Euclid, LSST and WFIRST.