Dynamical Generation of the Baryon Asymmetry from a Scale Hierarchy

Abstract

We propose a novel baryogenesis scenario where the baryon asymmetry originates directly from a hierarchy between two fundamental mass scales: the electroweak scale $v$ and the Planck scale $M_P$, in the form of \begin{equation} Y_B \sim \sqrt{\frac{v}{M_P}} \, . \nonumber \end{equation} This relation straightforwardly gives the observed baryon yield today $Y_B$, which can be a hint for underlying fundamental physics. We provide an example of baryogenesis models that yield this relation. Our model is based on the neutrino-portal Affleck-Dine mechanism, which generates the asymmetry of the Affleck-Dine sector during the radiation-dominated era and subsequently transfers it to the baryon number before the electroweak phase transition. The observed baryon asymmetry is then a natural outcome of this scenario. The model is testable as it predicts the existence of a Majoron with a keV mass and an electroweak scale decay constant. The impact of the relic Majoron on the effective number of neutrinos ($\Delta N_{\rm eff}$) can be measured through near-future cosmic microwave background observations.