Quadratic-inflation tilt-tensor relation (source code)

= Quadratic-inflation tilt-tensor relation
{title2=$r=4(1-n_s)$}

The quadratic potential has equal <potential slow-roll parameters>, $\epsilon_V=\eta_V=1/(2N+1)$. Consequently $n_s=1-4/(2N+1)$ and $r=16/(2N+1)$ at leading order. The relation $r=4(1-n_s)$ is independent of the <inflaton> mass, so a satisfactory scalar tilt does not by itself guarantee a satisfactory tensor prediction.