Abstract
We extend our previous study of supersymmetric Higgs inflation in the context of no-scale supergravity and grand unification, to include models based on the flipped SU(5) and the Pati-Salam group. Like the previous SU(5) GUT model, these yield a class of inflation models whose inflation predictions interpolate between those of the quadratic chaotic inflation and Starobinsky-like inflation, while avoiding tension with proton decay limits. We further analyse the reheating process in these models, and derive the number of e-folds, which is independent of the reheating temperature. We derive the corresponding predictions for the scalar tilt and the tensor-to-scalar ratio in cosmic microwave background perturbations, as well as discussing the gravitino production following inflation.
Highlights
We extend our previous study of supersymmetric Higgs inflation in the context of no-scale supergravity and grand unification, to include models based on the flipped SU(5) and the Pati-Salam group
We have given previously an explicit realization of a no-scale supersymmetric GUT scenario for inflation [29], in which Higgs inflation is realized in an SU(5) GUT embedded in no-scale supergravity
After presenting the no-scale Higgs inflation modelsa la flipped SU(5) and Pati-Salam, we investigate the reheating process in these GUT models
Summary
Generalizing our previous no-scale SU(5) GUT model construction [29], we construct new models of Higgs inflation in no-scale GUTs with other GUT groups. Supersymmetric GUT unification of the gauge couplings implies that vG 2 × 1016 GeV, so the colored Higgs fields can be heavy, with masses MHc = 2λvG This is a significant advantage over the minimal no-scale SU(5) GUT inflationary model studied in [29]. We identify the D-flat component h = |Hu0| + |Hd0| as the inflaton, which has a value around the Planck scale MP during inflation This provides a large positive contribution to the effective mass of G, leading to minimization of the potential at G = 0. In the case of minimal SU(5), we need to impose a discrete Z2 symmetry in order to remove any odd power of adjoint GUT Higgs fields in the superpotential, which is necessary to produce the desired inflation potential and avoid the colored Higgs mass being too light. In the current flipped SU(5) GUT model odd powers of the GUT Higgs field G are automatically absent due to the charge assignments, and there is no need to impose any extra discrete symmetry
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