Abstract

Abstract We consider the cosmological moduli problem in the context of high-scale supersymmetry breaking suggested by the recent discovery of the standard-model like Higgs boson. In order to solve the notorious moduli-induced gravitino problem, we focus on the LARGE volume scenario, in which the modulus decay into gravitinos can be kinematically forbidden. We then consider the Affleck-Dine mechanism with or without an enhanced coupling with the inflaton, taking account of possible Q-ball formation. We show that the baryon asymmetry of the present Universe can be generated by the Affleck-Dine mechanism in LARGE volume scenario, solving the moduli and gravitino problems. We also find that the overall volume modulus decays into a pair of the axionic superpartners, which contribute to the extra relativistic degrees of freedom.

Highlights

  • The string theory is a plausible candidate for an underlying high-energy theory, and in particular, it seems to possess some features the quantum theory of gravity should possess

  • In order to solve the notorious moduli-induced gravitino problem, we focus on the LARGE volume scenario, in which the modulus decay into gravitinos can be kinematically forbidden

  • We show that the baryon asymmetry of the present Universe can be generated by the Affleck-Dine mechanism in LARGE volume scenario, solving the moduli and gravitino problems

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Summary

Affleck-Dine baryogenesis

We first review the AD mechanism [13, 18, 19], in which the baryon asymmetry is generated thorough the dynamics of scalar fields with baryon and/or lepton charge. We assume a mild hierarchy between gaugino and scalar masses, such that the scalar mass is several orders of magnitude heavier than the typical gaugino mass. Such mass spectrum is realized in simple anomaly mediation with a generic Kahler potential as well as in the modulus mediation, as we shall see . We consider the effect of a large negative Hubble-induced mass on the AD mechanism and its cosmological consequences. Such an enhanced coupling of the AD field with the inflaton is expected in the context of LVS. The Q balls decay before BBN, and so, they do not play any important role in our scenario

Affleck-Dine baryogenesis in high-scale SUSY breaking
Effect of large negative Hubble induced mass
Field-theoretical interpretation
LARGE volume scenario with three Kahler moduli in the geometric regime
Moduli sector
F T3 2τ3
Visible sector
F T1 2τ1
Moduli problem in LVS
AD baryogenesis in LVS model in the geometric regime
LVS with three Kahler moduli in the singular regime
Discussion and conclusions
Examples: heavy chiral fields
Examples: heavy vector field
Full Text
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