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Affleck-Dine Baryogenesis in Type IIB String Models

Rouzbeh Allahverdi, Michele Cicoli, Francesco Muia

TL;DR

This work presents an explicit string-theoretic realization of Affleck-Dine baryogenesis within type IIB sequestered LVS models, where the final baryon asymmetry is generated during a tachyonic phase of the AD field induced by inflaton-dependent Kahler corrections. Inflation is driven by a blow-up modulus, and the lightest volume modulus chi controls a late-time reheating at $T_{ m rh} \sim 10^{3}$–$10^{4}$ GeV, diluting preexisting relics. A split SUSY-like spectrum arises, with gauginos around $10^{3}$–$10^{5}$ GeV and scalars near $10^{9}$–$10^{10}$ GeV, allowing the AD mechanism to produce the observed BAU for natural initial AD displacements $\phi_0\sim 0.1 M_p$ and moderate $|A|$-terms. The late modulus decay yields a compatible cosmology with thermal Higgsino-like dark matter of mass $\sim 1$ TeV, while non-thermal DM from modulus decay is avoided by the branching constraints, making the scenario a coherent link between inflation, SUSY breaking, baryogenesis, and dark matter in a single string compactification.

Abstract

We present a viable string embedding of Affleck-Dine baryogenesis in type IIB sequestered models where the late-time decay of the lightest modulus reheats the universe to relatively low temperatures. We show that if inflation is driven by a blow-up Kaehler modulus, the Affleck-Dine field can become tachyonic during inflation if the Kaehler metric for matter fields has an appropriate inflaton-dependent contribution. We find that the Affleck-Dine mechanism can generate the observed baryon asymmetry for natural values of the underlying parameters which lead also to successful inflation and low-energy gaugino masses in a split supersymmetry scenario. The reheating temperature from the lightest modulus decay is high enough to allow thermal Higgsino-like dark matter.

Affleck-Dine Baryogenesis in Type IIB String Models

TL;DR

This work presents an explicit string-theoretic realization of Affleck-Dine baryogenesis within type IIB sequestered LVS models, where the final baryon asymmetry is generated during a tachyonic phase of the AD field induced by inflaton-dependent Kahler corrections. Inflation is driven by a blow-up modulus, and the lightest volume modulus chi controls a late-time reheating at – GeV, diluting preexisting relics. A split SUSY-like spectrum arises, with gauginos around – GeV and scalars near – GeV, allowing the AD mechanism to produce the observed BAU for natural initial AD displacements and moderate -terms. The late modulus decay yields a compatible cosmology with thermal Higgsino-like dark matter of mass TeV, while non-thermal DM from modulus decay is avoided by the branching constraints, making the scenario a coherent link between inflation, SUSY breaking, baryogenesis, and dark matter in a single string compactification.

Abstract

We present a viable string embedding of Affleck-Dine baryogenesis in type IIB sequestered models where the late-time decay of the lightest modulus reheats the universe to relatively low temperatures. We show that if inflation is driven by a blow-up Kaehler modulus, the Affleck-Dine field can become tachyonic during inflation if the Kaehler metric for matter fields has an appropriate inflaton-dependent contribution. We find that the Affleck-Dine mechanism can generate the observed baryon asymmetry for natural values of the underlying parameters which lead also to successful inflation and low-energy gaugino masses in a split supersymmetry scenario. The reheating temperature from the lightest modulus decay is high enough to allow thermal Higgsino-like dark matter.

Paper Structure

This paper contains 23 sections, 71 equations, 1 figure, 2 tables.

Table of Contents

  1. Introduction
  2. Review of Affleck-Dine baryogenesis
  3. Basic mechanism
  4. Supergravity constraints
  5. Sequestered Large Volume Scenario
  6. Setup of the compactification
  7. Moduli stabilisation
  8. F-terms
  9. Soft-terms
  10. Gaugino masses
  11. Scalar masses
  12. $A$-terms
  13. Inflation, reheating and Affleck-Dine baryogenesis
  14. Inflationary dynamics
  15. Dynamics of the Affleck-Dine field
  16. ...and 8 more sections

Figures (1)

  • Figure 1: $T_{\rm rh}$ as a function of ${\mathcal{V}}$ and gaugino masses $M$ for $a_i=2\pi$ and $g_s = 0.06$. The blue dots correspond to the points of the parameter space in Tab. \ref{['tab:tab1']}. The amplitude of density perturbations in these points matches the measured one provided that the displacement of the AD field at the start of oscillations is that given in Tab. \ref{['tab:tab2']}.