Unitarity-safe models of non-minimal inflation in supergravity.

We show that models of chaotic inflation based on the ϕp potential and a linear non-minimal coupling to gravity, fR=1+cRϕ, can be done consistent with data in the context of Supergravity, retaining the perturbative unitarity up to the Planck scale, if we employ logarithmic Kähler potentials with prefactors -p(1+n) or -p(n+1)-1, where -0.035≲n≲0.007 for p=2 or -0.0145≲n≲0.006 for p=4. Focusing, moreover, on a model employing a gauge non-singlet inflaton, we show that a solution to the μ problem of MSSM and baryogenesis via non-thermal leptogenesis can be also accommodated. [ABSTRACT FROM AUTHOR]