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      Hilltop Supernatural Inflation and Gravitino Problem

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          Abstract

          In this paper, we explore the parameter space of hilltop supernatural inflation model and show the regime within which there is no gravitino problem even if we consider both thermal and nonthermal production mechanisms. We make plots for the allowed reheating temperature as a function of gravitino mass by constraints from big-bang nucleosynthesis. We also plot the constraint when gravitino is assumed to be stable and plays the role of dark matter.

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          Big-Bang Nucleosynthesis and Gravitino

          Takeo Moroi, Akira Yotsuyanagi, Masahiro Kawasaki … (2008)
          We derive big-bang nucleosynthesis (BBN) constraints on both unstable and stable gravitino taking account of recent progresses in theoretical study of the BBN processes as well as observations of primordial light-element abundances. In the case of unstable gravitino, we set the upper limit on the reheating temperature assuming that the primordial gravitinos are mainly produced by the scattering processes of thermal particles. For stable gravitino, we consider Bino, stau and sneutrino as the next-to-the-lightest supersymmetric particle and obtain constraints on their properties. Compared with the previous works, we improved the following points: (i) we use the most recent observational data, (ii) for gravitino production, we include contribution of the longitudinal component, and (iii) for the case with unstable long-lived stau, we estimate the bound-state effect of stau accurately by solving the Boltzmann equation.
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            Retrofitted Gravity Mediation without the Gravitino-overproduction Problem

            Fuminobu Takahashi, Motoi Endo, T. T. Yanagida (2007)
            We propose a retrofitted gravity mediation model which alleviates the gravitino overproduction from decays of an inflaton and a supersymmetry breaking field. In the model, we introduce an approximate U(1) symmetry under which the supersymmetry breaking field is charged, although it is broken by a mass term of messenger fields to generate gaugino masses of order the weak scale. In a low-scale inflation model, we find regions in which the gravitino overproduction problem is avoided.
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              Reducing the Spectral Index in Supernatural Inflation

              , (2013)
              Supernatural inflation is an attractive model based just on a flat direction with soft SUSY breaking mass terms in the framework of supersymmetry. The beauty of the model is inferred from its name that the model needs no fine-tuning. However, the prediction of the spectral index is \(n_s \gae 1\), in contrast to experimental data. In this paper, we show that the beauty of supernatural inflation with the spectral index reduced to \(n_s=0.96\) without any fine-tuning, by considering the general feature that a flat direction is lifted by a non-renormalizable term with an A-term.
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                Author and article information

                Journal
                Publication date Created: 18 August 2010
                Publication date Updated: 2010-10-25
                Article
                DOI: 10.1088/1475-7516/2010/11/010
                ArXiV ID: 1008.3200
                SO-VID: 2bbd28ef-b572-434b-ba9d-305d8a203257
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Report No KEK-TH-1386, KEK-Cosmo-43
                Journal reference JCAP 1011:010,2010
                Comments 11 pages, 3 figures, to appear in JCAP
                Categories hep-ph astro-ph.CO astro-ph.HE hep-th

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