Warm $\frac{\lambda}{4}\phi^{4}$ inflationary universe model in light of Planck 2015 results

In the present work we show that warm chaotic inflation characterized by a simple $\frac{\lambda}{4}\phi^{4}$ self-interaction potential for the inflaton, excluded by current data in standard cold inflation, and by an inflaton decay rate proportional to the temperature, is in agreement with the latest Planck data. The parameters of the model are constrained, and our results show that the model predicts a negligible tensor-to-scalar ratio in the strong dissipative regime, while in the weak dissipative regime the tensor-to-scalar ratio can be large enough to be observed.