Supersymmetric Hybrid Inflation in Light of CMB Experiments and Swampland Conjectures

In this study, we revisit supersymmetric (SUSY) hybrid inflation within the context of considering the latest Cosmic Microwave Background (CMB) observations and swampland conjectures. We demonstrate that SUSY hybrid inflation remains consistent with Planck 2018 data when radiative, soft mass, and supergravity (SUGRA) corrections are applied to the scalar potential. It is commonly perceived that SUSY hybrid inflation with a minimal Kähler potential results in a gauge symmetry breaking scale M of GeV, leading to issues with the proton decay rate. In our analysis, we introduce a novel parameter space that alleviates the proton decay issue by achieving GeV with and . This scenario necessitates a soft SUSY breaking scale GeV. Further, we find that the tensor-to-scalar ratio r spans from to , indicating a very small value. This small ratio allows the modified swampland criteria to hold, although satisfying the trans-Planckian censorship conjecture (TCC) remains challenging. To address this, we also explo non-minimal Kähler potentials. By fixing the spectral index at , consistent with the central value of Planck 2018 data, and setting GeV, we present our calculations. We show that the canonical measure of primordial gravitational waves, r , for 1 TeV, 1 TeV, and for 1 and 2, ranges from to , rendering it detectable by Planck and upcoming experiments such as LiteBIRD, Simons Observatory, PRISM, PIXIE, CORE, CMB-S4, and CMB-HD. Additionally, we outline the parametric space and provide benchmark points for the non-minimal case to ensure compatibility with both the modified swampland conjecture and TCC.