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Supersymmetric Hybrid Inflation with Non-Minimal Kahler potential

M. Bastero-Gil·S. F. King·Q. Shafi
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Abstract

Minimal supersymmetric hybrid inflation based on a minimal Kahler potential predicts a spectral index n_s\gsim 0.98. On the other hand, WMAP three year data prefers a central value n_s \approx 0.95. We propose a class of supersymmetric hybrid inflation models based on the same minimal superpotential but with a non-minimal Kahler potential. Including radiative corrections using the one-loop effective potential, we show that the prediction for the spectral index is sensitive to the small non-minimal corrections, and can lead to a significantly red-tilted spectrum, in agreement with WMAP.

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M. Bastero-Gil, S. F. King, Q. Shafi. 2006-04-27. Supersymmetric Hybrid Inflation with Non-Minimal Kahler potential. https://doi.org/10.1016/j.physletb.2006.06.085

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