A bottom-up approach to moduli dynamics in heavy gravitino scenario

Moduli dynamics is discussed in the scenario where gravitino is relatively heavy with mass of the order of 10 TeV, which is favored to relax the gravitino problem. Imposing a phenomenological requirement that CP phases in the gaugino masses do not arise from the conformal anomaly mediation, we find that the form of the superpotential for the modulus field is determined. Interestingly one solution is the sum of an exponential and a constant, which is identical to the one recently obtained by Kachru et al (KKLT). Supersymmetry breaking is discussed with this superpotential. In particular, it is shown that the soft supersymmetry breaking masses are admixture of the modulus mediation and the conformal anomaly mediation of supersymmetry breaking. The resulting mass spectrum is very characteristic. It is rather compact compared to the minimal supergravity or to the pure anomaly mediation, which is testable at future collider experiments. The higgsino mass parameter is expected to be small, and hence the lightest of the neutralinos, which is a candidate for dark matter of the universe, is an admixture of the gauinos and higgsinos. This has some impacts on dark matter searches. This talk is based on the work with Motoi Endo and Koichi Yoshioka.