  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.
