Constraining non-minimally coupled $\beta$-exponential inflation with CMB data
Felipe Bruno Medeiros dos Santos, Simony Santos da Costa, Raimundo, Silva, Micol Benetti, Jailson Alcaniz

TL;DR
This paper updates constraints on the $eta$-exponential inflation model, derived from braneworld scenarios, testing both minimal and non-minimal couplings against recent CMB and clustering data, and finds moderate preference for the non-minimal case.
Contribution
It extends previous work by deriving equations for non-minimal coupling and compares both models with latest observational data using DIC.
Findings
Moderate preference for non-minimal coupling in data
Updated constraints on $eta$-exponential inflation models
Comparison with $ m{ extLambda CDM}$ shows competitive fit
Abstract
The -exponential inflation is driven by a class of primordial potentials, derived in the framework of braneworld scenarios, that generalizes the well-known power law inflation. In this paper we update previous constraints on the minimal coupled -exponential model [1] and extend the results also deriving the equations for the non-minimal coupled scenario. The predictions of both models are tested in light of the latest temperature and polarization maps of the Cosmic Microwave Background and clustering data. We also compare the predictions of these models with the standard CDM cosmology using the Deviance Information Criterion (DIC), and find that the observational data show a moderate preference for the non-minimally coupled -exponential inflationary model.
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