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We study a model of inflation with terms quadratic and logarithmic in the Ricci scalar, where the gravitational action is f(R)=R+aR2+bR2lnR. These terms are expected to arise from one loop corrections involving matter fields in curved space-time. The spectral index ns and the tensor to scalar ratio yield 10-4-5.2*10-4,u<2.1*10-8,y<2.6*10-9. Despite the enhancement in r, if the recent BICEP2 measurement stands, this model is disfavoured.
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