# Stochastic Baryogenesis

Abstract : Using a multi-field stochastic approach, we investigate the vacuum expectation value (VEV) during inflation of a scalar field charged under a mildly broken global $U(1)$ symmetry that can play the role of baryon or lepton number, or possibly a dark baryon number or a combination of the three. Even for a CP invariant Lagrangian, the stochastic distribution of inflationary VEVs in general breaks CP spontaneously, allowing for successful baryogenesis via the Affleck-Dine mechanism. For the Hubble scale during inflation $H_\ast$ as high as $10^{13}$ GeV, we show that the post-inflationary relaxation of the charged scalar with stochastic initial conditions can explain the observed baryon asymmetry, and that a charged scalar mass at the order of $H_\ast$ is favored by the isocurvature constraints.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-02934066
Contributor : Inspire Hep <>
Submitted on : Tuesday, September 8, 2020 - 11:11:07 PM
Last modification on : Tuesday, September 22, 2020 - 11:20:45 PM

### Citation

Yi-Peng Wu, Kalliopi Petraki. Stochastic Baryogenesis. 2020. ⟨hal-02934066⟩

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