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MSSM Electroweak Baryogenesis and Flavour Mixing in Transport Equations

T. Konstandin, T. Prokopec, M. G. Schmidt, M. Seco

Abstract

We make use of the formalism developed in Ref. [1], and calculate the chargino mediated baryogenesis in the Minimal Supersymmetric Standard Model. The formalism makes use of a gradient expansion of the Kadanoff-Baym equations for mixing fermions. For illustrative purposes, we first discuss the semiclassical transport equations for mixing bosons in a space-time dependent Higgs background. To calculate the baryon asymmetry, we solve a standard set of diffusion equations, according to which the chargino asymmetry is transported to the top sector, where it biases sphaleron transitions. At the end we make a qualitative and quantitative comparison of our results with the existing work. We find that the production of the baryon asymmetry of the Universe by CP-violating currents in the chargino sector is strongly constrained by measurements of electric dipole moments.

MSSM Electroweak Baryogenesis and Flavour Mixing in Transport Equations

Abstract

We make use of the formalism developed in Ref. [1], and calculate the chargino mediated baryogenesis in the Minimal Supersymmetric Standard Model. The formalism makes use of a gradient expansion of the Kadanoff-Baym equations for mixing fermions. For illustrative purposes, we first discuss the semiclassical transport equations for mixing bosons in a space-time dependent Higgs background. To calculate the baryon asymmetry, we solve a standard set of diffusion equations, according to which the chargino asymmetry is transported to the top sector, where it biases sphaleron transitions. At the end we make a qualitative and quantitative comparison of our results with the existing work. We find that the production of the baryon asymmetry of the Universe by CP-violating currents in the chargino sector is strongly constrained by measurements of electric dipole moments.

Paper Structure

This paper contains 11 sections, 62 equations, 6 figures.

Table of Contents

  1. Introduction
  2. Transport Equations for Mixing Bosons
  3. Kadanoff-Baym Equations and the Approximation Scheme
  4. Lowest Order Solution
  5. First order solution and CP violation
  6. The Damping Term
  7. Transport Equations for Mixing Charginos
  8. Diffusion Equations
  9. Numerical Results
  10. Conclusions and Discussion
  11. Comparison of Bosonic Sources

Figures (6)

  • Figure 1: The original Higgsino densities and the corresponding back-reactions. The parameters of the plot are $\mu_c=200$ GeV, $M_2=180$ GeV, $m_A=200$ GeV
  • Figure 2: This plot shows the first and second order sources as a function of $\mu_c$ with $M_2=200$ GeV. The plot on the left are the sources with the damping, $\Gamma=\alpha_wT_c$, while on the right plot, $\Gamma=0.25\alpha_wT_c$.
  • Figure 3: This plot shows $\eta_{10}=10^{10}\eta$ as a function of $\mu_c$ with $M_2=200$ GeV and for several values of $m_A$ in GeV.
  • Figure 4: This plot shows $\eta_{10}=10^{10}\eta$ as a function of $\mu_c$, $M_2=\mu_c - 20$ GeV and for several values of $m_A$ (in GeV) .
  • Figure 5: The baryon-to-entropy ratio $\eta_{10}=10^{10}\times \eta$ in the $( M_2, \mu_c )$ parameter space from (0 GeV,0 GeV) to (500 GeV,500 GeV). For the left plot the value $m_A=200$ GeV is used, for the right plot $m_A=400$ GeV. The black region denotes $\eta_{10}>1$, where baryogenesis is viable. The other four regions are bordered by the values of $\eta_{10}$, $\{-0.5,0,0.5,1\}$, beginning with the lightest color.
  • ...and 1 more figures