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We propose a minimal framework to address successful quartic inflation, darkmatter (DM) production in the early universe and non-vanishing tiny Majorananeutrino mass from a common gravitational origin point of view. In this setup,the quartic inflation is revived successfully via non-minimal coupling ofinflaton to gravity while the production of DM takes place from purelygravitational effects through a misalignment mechanism. The generation of lightMajorana neutrino mass is aided by explicit breaking of global lepton numbersymmetry through Planck suppressed operators involving non-zero vacuumexpectation value (VEV) of the inflaton field. We present a detailed study ofthe DM yield in presence of non-minimal inflation, considering both the metricand the Palatini formalisms of gravity wherever appropriate. We reach at someinteresting and different results in the DM sector compared to the earlierworks in the similar direction with minimal inflationary background.Restricting to the light DM regime ($\mathcal{O}(1)$ keV- $\mathcal{O}(100)$MeV) where classical production is expected to dominate over the quantumproduction, we numerically predict the DM mass by varying the DM quartic andnon-minimal coupling, to be consistent with relic density requirements. We alsoobtain some non-trivial dependence of DM phenomenology on some of the relevantparameters of the inflation sector {\it e.g.} non minimal coupling and inflatonVEV. To explore the dependence on inflationary parameters further, we alsoestimate the DM relic using the same mechanism for two other inflationarymodels consistent with latest data and observe that one of these modelspredicts different range of DM mass upto hundreds of TeV.

Gravitational origin of dark matter and Majorana neutrino mass with non-minimal quartic inflation