Pole-induced Higgs inflation with hyperbolic Kähler geometries

Abstract

We present novel realizations of Higgs inflation within Supergravitywhich are largely tied to the existence of a pole of order two inthe kinetic term of the inflaton field. This pole arises due tothe selected s which parameterize the (SU(1,1)/U(1))2 orSU(2,1)/(SU(2) × U(1)) manifolds with scalar curvatures ℛ(11)2 =-4/N or ℛ21=-3/N respectively. Theassociated superpotential includes, in addition to the Higgssuperfields, a stabilizer superfield, respects the gauge and anR symmetries and contains the first allowed nonrenormalizableterm. If the coefficient of this term is almost equal to that ofthe others within about 10-5 and N=1, the inflationaryobservables can be done compatible with the present data and thescale M of gauge-symmetry breaking may assume its value withinMSSM. Increasing M beyond this value, though, inflation may beattained with less tuning. Modifications to the Kähler potentials associatedwith the manifolds above allow for inflation, realized with justrenormalizable superpotential terms, which results to highertensor-to-scalar ratios as N approaches its maximum atN ≃ 40.