Minimal fine tuning in supersymmetric Higgs inflation
We investigate characteristic features of a realistic parameter choice for primordial inflation with the supersymmetric Higgs inflaton as an example of a particle physics inflation model. We discuss constraints from observational results and analyze the degree of fine tuning needed to induce slow-roll inflation for a wide range of soft supersymmetry-breaking scales. The observed amplitude of density fluctuations implies that the minimal fine tuning for the combined electroweak scale and inflaton flatness predicts a spectral index of n(s) = 0.950 - 0.965, which includes the central value from observational data.