On the equivalence of Starobinsky and Higgs inflationary models in gravity and supergravity

Abstract

Starobinsky inflation and Higgs inflation in gravity, and their equivalence based on the common inflationary potential are extended to supergravity in the proper framework, where the Starobinsky and Higgs descriptions of inflation arise in two different gauges of the same supergravity model.

Removing the conspiracy of BSM physics and BSM cosmology

“…being at f ∼ 10 14 GeV Ω GW ≈ 10 −9 . For 1 < Λ < 10 8 GeV the maximum of the spectrum corresponds to…”

“…At Λ < 1 GeV and f = 10 14 GeV it happens at t > 0.1 s, what can lead to interesting observable consequences. Closed wall collapse leads to primordial gravitational wave (GW) spectrum, estimated as peaked at [35] ν 0 = 3 × 10 11 (Λ/f )Hz.…”

“…This case implies non-SUSY solution for the problem of divergence of the Higgs mass and origin of the electroweak symmetry (see the next subsection), but has the advantage to unify all the four fundamental natural forces, including gravity, in the framework of Supergravity. Starobinsky supergravity can provide simultaneous BSM solution for dark matter in the form of superheavy gravitino [12,13,14] and Starobinsky inflation [15]. This solution can be hardly probed by any direct experimental mean and makes cosmological consequences the unique way for its indirect test.…”

Minimal Starobinsky supergravity coupled to a dilaton-axion superfield

“…that is exactly same as the KKLT vacuum. 5 The relevant masses at the stationary point are explicitly given by…”

“…A supergravity extension of the Starobinsky inflationary model is not unique, being dependent upon the supergravity framework chosen, see e.g., Ref. [5] for a review.…”