  We study the single field slow-roll inflation models that better fit the
available CMB and LSS data including the three years WMAP data: new inflation
and hybrid inflation. We study them as effective field theories in the
Ginsburg-Landau context: a trinomial potential turns out to be a simple and
well motivated model. The compute the spectral index n_s of the adiabatic
fluctuations, the ratio r of tensor to scalar fluctuations and the running
index d n_s/dln k, derive explicit formulae and provide relevant plots. In new
inflation, and for the three years WMAP central value n_s = 0.95, we predict
0.03<r<0.04 and -0.00070<d n_s/d ln k<-0.00055. In hybrid inflation, and for
n_s = 0.95, we predict r = 0.2 and dn_s/dln k=-0.001.We find in new inflation
n_s bounded from above by n_{smax} = 0.9615 and that r is a two valued function
of 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 mass
parameter 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 years
data since it yields n_s>1. Hybrid inflation for mu_0^2>Lambda_0 M_{Pl}^2/192
can fullfill all the present CMB+LSS data. Even if chaotic inflation predicts
n_s values compatible with the data, chaotic inflation is disfavoured since it
predicts a too high value for the ratio r=0.27. The model which best fits the
current data and which best prepares the way to the expected data r < 0.1, is
the trinomial potential with negative mass term: new inflation.
