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Baryogenesis, Cosmological Moduli and Gravitino Problems, and Dark Matter

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Supersymmetric Grand Unified Theories

Part of the book series: Lecture Notes in Physics ((LNP,volume 939))

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Abstract

SUSY GUTs provide a framework for describing cosmology. In particular, the LSP is a natural candidate for dark matter. In addition, since baryon and lepton number are violated, the theory allows for an understanding of why there is more matter than anti-matter in the universe. The particular scenario discussed in this chapter is known as baryogenesis via leptogenesis. SUSY GUTs also introduce some possible problems for cosmology. We discuss the so-called cosmological moduli problem and the gravitino problem. Note, we have no insight on the most serious problem of cosmology, i.e. the cosmological constant problem. Perhaps the solution to this problem is an accident of our location in a multi-verse.

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Notes

  1. 1.

    A possible model of inflation with the gauge symmetry breaking scale determining the energy density during inflation is given in [249, 250].

  2. 2.

    The gravitino is described by a Rarita-Schwinger spin 3/2 field, \(\tilde{G}_{\mu }\).

  3. 3.

    This is given simply by dimensional analysis.

  4. 4.

    This is not quite true since every time some particles annihilate out of the thermal bath, photons get heated up while the gravitinos don’t.

  5. 5.

    This result neglects the right-handed neutrinos needed for the See-Saw mechanism. But assuming they are heavy, they can safely be ignored.

  6. 6.

    See problem 9.

  7. 7.

    In particular Heterotic string models with a discrete \(\mathbb{Z}_{4}^{R}\) symmetry it has been argued that most of the moduli may be stabilized in supersymmetric vacua with string scale masses [276].

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  1. Department of Physics, The Ohio State University, Columbus, Ohio, USA

    Stuart Raby

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Raby, S. (2017). Baryogenesis, Cosmological Moduli and Gravitino Problems, and Dark Matter. In: Supersymmetric Grand Unified Theories. Lecture Notes in Physics, vol 939. Springer, Cham. https://doi.org/10.1007/978-3-319-55255-2_11

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