Supersymmetric hybrid inflation with non-minimal coupling to gravity

Abstract

We have studied the paradigm of cosmic inflation using the simplest model based on the idea of supersymmetric hybrid inflation with non-minimal coupling to gravity, specially under the slow-roll approximation following the superconformal approach to supergravity. It is found that within a range of values of the non-minimal coupling parameter $\xi$, the model can accommodate the inflation data reported by the Planck ($n_s$ and upper limit of $r$) and BICEP2/Keck (upper limit of $r$) collaborations. The study shows that the most probable value of $\xi$ should be $\sim 0.0134\pm 0.0005$. That is coupling is found to be very week. Within this range of $\xi$, the values of $r$ estimated from our model for $50-70$ e-foldings are found to be laying well below the upper limits set by the Planck and BICEP2/Keck collaborations. Similarly, values of $n_s$ obtained for the said parameters are in good agreement with its latest data of the Planck collaboration. The constraint equations for the running of the scalar spectral index $n_{sk}$ and its running $n_{skk}$ are derived from the numerical solutions of our model for these parameters. These equations can be used to test our model from the data of future cosmological observations.

31 pages, 10 figures

References in corpus (16)

• The Standard Model Higgs boson as the inflaton
• Higgs inflation: consistency and generalisations
• Inflation scenario via the Standard Model Higgs boson and LHC
• Superconformal Symmetry, NMSSM, and Inflation
• New models of chaotic inflation in supergravity
• Inflation and the Scale Dependent Spectral Index: Prospects and Strategies
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Multifield Dynamics of Higgs Inflation
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings
• Non-Minimal Two-Loop Inflation
• Inflation from Supersymmetry Breaking
• Testing Hybrid Natural Inflation with BICEP2
• Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory
• Beginning of Universe through large field hybrid inflation
• Supergravity Contributions to Inflation in models with non-minimal coupling to gravity

Cited by in corpus (4)

• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• Anisotropic LRS-BI Universe with $f(Q)$ gravity theory
• Observational Constraints on Hybrid Scale Factor in f(Q,T) Gravity with Anisotropic Space-Time
• Black Hole Quasi-Periodic Oscillations in the Presence of Gauss-Bonnet Trace Anomaly