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We study the single field slow-roll inflation models that better fit theavailable CMB and LSS data including the three years WMAP data: new inflationand hybrid inflation. We study them as effective field theories in theGinsburg-Landau context: a trinomial potential turns out to be a simple andwell motivated model. The compute the spectral index n_s of the adiabaticfluctuations, the ratio r of tensor to scalar fluctuations and the runningindex d n_s/dln k, derive explicit formulae and provide relevant plots. In newinflation, and for the three years WMAP central value n_s = 0.95, we predict0.03<r<0.04 and -0.00070<d n_s/d ln k<-0.00055. In hybrid inflation, and forn_s = 0.95, we predict r = 0.2 and dn_s/dln k=-0.001.We find in new inflationn_s bounded from above by n_{smax} = 0.9615 and that r is a two valued functionof n_s in the interval 0.96<n_s<0.9615. In the first branch we find r<r_{max} =0.1148.In hybrid inflation we find a critical value mu_{0 crit}^2 for the massparameter mu_0^2 of the field sigma coupled to the inflaton.For mu_0^2<Lambda_0 M_{Pl}^2/192, hybrid inflation is ruled out by the WMAP three yearsdata since it yields n_s>1. Hybrid inflation for mu_0^2>Lambda_0 M_{Pl}^2/192can fullfill all the present CMB+LSS data. Even if chaotic inflation predictsn_s values compatible with the data, chaotic inflation is disfavoured since itpredicts a too high value for the ratio r=0.27. The model which best fits thecurrent data and which best prepares the way to the expected data r < 0.1, isthe trinomial potential with negative mass term: new inflation.Comment: Some comments and a few new results adde

Predictions of single field inflation for the tensor/scalar ratio and the running spectral index