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We investigate the impact of a non-minimal coupling of the scalar field withgravity in inflationary models, where a small coupling is allowed. As aconcrete example, we consider the Witten-O'Raifeartaigh model, where, in linewith other models, the presence of a coupling strength $\xi$ can recoverconcordance of the inflationary parameters with cosmic microwave background(CMB) constraints, provided by the Planck collaboration. We go beyond theslow-roll regime and investigate the impact in the description of CMBanisotropies by performing a statistical analysis of the model with the mostrecent Planck + Baryon Acoustic Oscillations (BAO) data to seek for anyindication of a non-zero coupling by data within the model. We find that notonly the presence of a non-minimal coupling is seen, but the model has a slightstatistical preference when compared with the standard $\Lambda$CDM one. Wealso discuss the results on the minimally-coupled model, which in general,favours the simple setting where the associated mass scale is equal to thereduced Planck mass $M_p$ while being, in general, disfavored concerning thestandard model.

Constraints on the non-minimally coupled Witten-O'Raifeartaigh inflation