Abstract
We propose a new construction of the supergravity inflation as an UV completion of the Higgs-R2 inflation. In the dual description of R2-supergravity, we show that there appear dual chiral superfields containing the scalaron or sigma field in the Starobinsky inflation, which unitarizes the supersymmetric Higgs inflation with a large non-minimal coupling up to the Planck scale. We find that a successful slow-roll inflation is achievable in the Higgs-sigma field space, but under the condition that higher curvature terms are introduced to cure the tachyonic mass problems for spectator singlet scalar fields. We also discuss supersymmetry breaking and its transmission to the visible sector as a result of the couplings of the dual chiral superfields and the non-minimal gravity coupling of the Higgs fields.
Highlights
R2-supergravity and Next-to-Minimal Supersymmetric Standard Model (NMSSM)In order to include the R2 term and the non-minimal coupling for Higgs fields in 4D supergravity, we consider the action in superconformal setup [42,43,44,45,46],1 as follows,
We introduced equivalent frames for the supergravity Lagrangian in the superconformal framework, among which the sigma model frame makes the conformal symmetry and the validity of unitarity up to the Planck scale more manifest
We have shown that the slow-roll inflation can be realized from the mixture of the SM Higgs and the real part of T, and ensured the stability of the slow-roll inflation from the decoupling conditions for extra scalar fields in the model
Summary
In order to include the R2 term and the non-minimal coupling for Higgs fields in 4D supergravity, we consider the action in superconformal setup [42,43,44,45,46],1 as follows,. We impose the dilatation gauge condition by X0 = 1 on the lowest scalar component of X0-multiplet, in order to obtain the action with the field-dependent Einstein term from the product of Ωand R (i.e., Jordan frame action). In the second line of eq (2.3), we find that the Lagrangian contains the non-minimal couplings between matter chiral multiplets and the Ricci scalar, Ω (zα, zα)R, and R2 as desired for the supersymmetric extension of the Higgs-R2 inflation. We are not going to pursue the above form of the R2-supergravity any longer, but instead we rely on the dual-scalar description of the R2-supergravity in the subsection
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