Two-Field quintessential Higgs Inflation

We study a two-field quintessential Higgs inflation model in which a quintessence field with an exponential potential $e^{-\beta\phi/M_P}$ is coupled to the Higgs field from the beginning of inflation. The Higgs field itself is also non-minimally coupled to gravity. The inflationary predictions of this model for $n_s$ and $r$ are in good agreement with Planck 2018 data. We calculate the observables $n_s$ and $r$ against the free parameter $\beta$. Comparing these parameters with the observed $n_s$ and $r$ in Planck 2018 paper, we find $\beta \lesssim 8\times 10^{-3}$ that strongly disfavors the Swampland conjecture.