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We apply the multiple point criticality principle to inflationary modelbuilding and study Coleman-Weinberg inflation when the scalar potential isquadratic in the logarithmic correction. We analyze also the impact of anon-minimal coupling to gravity under two possible gravity formulation: metricor Palatini. We compare the eventual compatibility of the results with thefinal data release of the Planck mission.

Multiple point criticality principle and Coleman-Weinberg inflation