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We study the cosmological predictions of two recently proposed non-local mod-ifications of General Relativity. Both models have the same number of parameters as ΛCDM, with a mass parameter m replacing the cosmological constant. We imple-ment the cosmological perturbations of the non-local models into a modification of the CLASS Boltzmann code, and we make a full comparison to CMB, BAO and supernova data. We find that the non-local models fit these datasets as well as ΛCDM. For both non-local models parameter estimation using Planck +JLA+BAO data gives a value of H0 higher than in ΛCDM, and in better agreement with the values obtained from local measurements. 1Based on observations obtained with Planck
Dirian et al. (Mon,) studied this question.