Pole-Induced Higgs Inflation With Hyperbolic Kaehler Geometries

TL;DR

This paper introduces new Higgs inflation models in Supergravity using hyperbolic Kaehler geometries with a pole in the kinetic term, achieving compatibility with observations and exploring effects of different parameters.

Contribution

It presents novel Higgs inflation realizations in Supergravity based on specific Kaehler geometries and pole structures, with detailed analysis of parameter effects on inflationary predictions.

Findings

Inflation compatible with current data when nonrenormalizable term coefficient is finely tuned.

Higher tensor-to-scalar ratios achievable with modified Kaehler potentials as N approaches 40.

Inflation can occur with just renormalizable terms under certain geometric conditions.

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.