Affleck-Dine baryogenesis with observable neutron-antineutron oscillation

We discuss the implications of Affleck-Dine (AD) baryogenesis for different classes of baryon and lepton number violating processes: specially focusing on implications for neutron-antineutron (n - (n) over bar) oscillation. The class of AD baryogenesis scenarios we work with uses the AD field also as the inflaton which is nonminimally coupled to gravity. We fmd that adequate baryogenesis and no washout by the baryon number (B) or the lepton number (L) violating operators implies constraints on the observability of the process or in the case of neutrino mass with compatibility with neutrino oscillation observations. In particular for n - (n) over bar oscillation, we study some of the familiar operators that connect the AD field to n - (n) over bar oscillation and find that a split scalar spectrum model turns out to be most advantageous for obtaining an observable n - (n) over bar while remaining consistent with AD baryogenesis. It is interesting that this spectrum is similar to a nonsupersymmetyric SO(10) model for observable n - (n) over bar oscillation discussed before, suggesting that this AD scenario can be embedded into a grand unified SO(10) model. We also find that for a low scale (all scales in the 100 TeV range), there is a narrow range of parameters where the observable n - (n) over bar oscillation is compatible with viable AD baryogenesis. A feature of this baryogenesis scenario for n - (n) over bar oscillation is that it necessarily predicts processes with Delta B = 4 or higher, all be it with highly suppressed amplitudes.

Automated summary

In this study, we investigate the implications of Affleck-Dine (AD) baryogenesis on various baryon and lepton number violating processes, with a focus on neutron-antineutron oscillation. The analysis shows that adequate baryogenesis without washout by violating operators imposes constraints on the observability of the process. Interestingly, a split scalar spectrum model is found to be most advantageous for achieving observable neutron-antineutron oscillation while remaining consistent with AD baryogenesis, suggesting a possible embedding of this scenario into a grand unified SO(10) model. Additionally, for low scales in the 100 TeV range, there is a narrow parameter range where observable neutron-antineutron oscillation is compatible with viable AD baryogenesis, which predicts processes with Delta B = 4 or higher, albeit with highly suppressed amplitudes.