Pole-induced Higgs inflation with hyperbolic Kähler geometries
C. Pallis
Abstract
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 s which parameterize the (SU(1,1)/U(1)) 2 or SU(2,1)/(SU(2) × U(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 others 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 Kähler potentials associated with the manifolds above allow for inflation, realized with just renormalizable superpotential terms, which results to higher tensor-to-scalar ratios as N approaches its maximum at N ≃ 40.