Abstract
We analyse the shifted hybrid inflation in a no-scale supersymmetric SU(5) GUT model which naturally circumvents the monopole problem. The no-scale framework is derivable as the effective field theory of the supersymmetric (SUSY) compactifications of string theory, and yields a flat potential with no anti-de Sitter vacua, resolving the η problem. The model predicts a scalar spectral tilt ns compatible with the most recent measurements by the Planck satellite, while also accommodating large values of the tensor-to-scalar ratio r (~ 0.0015), potentially measurable by the near-future experiments. Moreover, the proton decay lifetime in the presence of the dimension-5 operators is found to lie above the current limit imposed by the Super-Kamiokande experiment. A realistic scenario of reheating and non-thermal leptogenesis is employed, wherein the reheating temperature Tr lies in the (2 × 106 ≲ Tr ≲ 2 × 109) GeV range, and at the same time realizing gravitino as a viable dark matter (DM) candidate.
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Acknowledgments
The authors are thankful to George K. Leonatris and Mansoor Ur Rehman for helpful discussions. WA is partially supported by the Program for Excellent Talents in Hubei Polytechnic University (21xjz22R, 21xjz21R, 21xjz20R) and SM would like to acknowledge support from the ICTP through the Associates Programme (2022-2027).
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Ahmed, W., Moosa, M., Munir, S. et al. Observable r, gravitino dark matter, and non-thermal leptogenesis in no-scale supergravity. J. High Energ. Phys. 2023, 11 (2023). https://doi.org/10.1007/JHEP05(2023)011
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DOI: https://doi.org/10.1007/JHEP05(2023)011