Leptogenesis in the Symmetric Phase of the Early Universe: Baryon Asymmetry and Hypermagnetic Helicity Evolution

Abstract

We investigate the evolution of the baryon asymmetry of the Universe (BAU) in its symmetric phase before the electroweak phase transition (EWPT) induced by leptogenesis in the hypermagnetic field of an arbitrary structure and with a maximum hypermagnetic helicity density. The novelty of this work is that the BAU has been calculated for a continuous hypermagnetic helicity spectrum. The observed BAU $B_{obs}=10^{-10}$ that can be in large-scale hypermagnetic fields satisfying the wave number inequality $k\le k_{max}$ grows with increasing $k_{max}$. We will also show that the initial right-handed electron asymmetry ${\xi }_{eR}({\eta }_0)$ used in our leptogenesis model as a free parameter cannot take too large values, ${\xi }_{eR}({\eta }_0)=10^{-4}$, because this leads to a negative BAU by the EWPT time. In contrast, a sufficiently small initial right-handed electron asymmetry, ${\xi }_{eR}({\eta }_0)$, provides its further growth and the corresponding BAU growth from zero to some positive value,including the observed $B_{obs}=10^{-10}$.

arXiv comment9 pages, 3 figures

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Cited by in corpus (11)

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• Large-scale magnetic fields can explain the baryon asymmetry of the Universe
• Evolution of the Baryon Asymmetry through the Electroweak Crossover in the Presence of a Helical Magnetic Field
• Generation of hypermagnetic helicity and leptogenesis in early universe
• Asymmetric Dark Matter and Baryogenesis from Pseudoscalar Inflation
• Chiral Charge Erasure via Thermal Fluctuations of Magnetic Helicity
• On the Contributions to the ${\mathbf{U}}_{\mathbf{Y}}(1)$ Chern-Simons Term and the Evolution of Fermionic Asymmetries and Hypermagnetic Fields
• The effects of the U${}_{\text{Y}}$(1) Chern-Simons term and its baryonic contribution on matter asymmetries and hypermagnetic fields
• A Minimal System Including Weak Sphalerons for Investigating the Evolution of Matter Asymmetries and Hypermagnetic Fields
• Flavon Magneto-Baryogenesis
• Magnetogenesis From Baryon Asymmetry During an Early Matter Dominated Era