Pole-Induced Higgs Inflation With Hyperbolic Kaehler Geometries

Abstract

We present novel realizations of Higgs inflation within Supergravity which are largely tied to the existence of a pole of order two in the kinetic term of the inflaton field. This pole arises due to the selected Kaehler potentials which parameterize the (SU(1,1)/U(1))^2 or SU(2,1)/(SU(2)xU(1)) manifolds with scalar curvatures R_{(11)^2}=-4/N or R_{21}=-3/N respectively. The associated superpotential includes, in addition to the Higgs superfields, a stabilizer superfield, respects the gauge and an R symmetries and contains the first allowed nonrenormalizable term. If the coefficient of this term is almost equal to that of the renormalizable terms within about 10^-5 and N=1, the inflationary observables can be done compatible with the present data and the scale M of gauge-symmetry breaking may assume its value within MSSM. Increasing M beyond this value, though, inflation may be attained with less tuning. Modifications to the Kaehler potentials associated with the manifolds above allow for inflation, realized with just renormalizable terms, resulting to higher tensor-to-scalar ratios as N approaches its maximum at N=40.

Some typos corrected

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• SU(2,1) / (SU(2) x U(1)) B-L Higgs Inflation
• E- & T-Model Hybrid Inflation
• Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6
• Starobinsky Inflation with T-Model Kaehler Geometries