Affleck-Dine Baryogenesis with Observable Neutron-Anti-Neutron Oscillation

TL;DR

This paper explores how Affleck-Dine baryogenesis, especially when the AD field acts as the inflaton, can lead to observable neutron-antineutron oscillations within certain models, linking baryogenesis to potential experimental signals.

Contribution

It demonstrates that a split scalar spectrum model compatible with AD baryogenesis can produce observable neutron-antineutron oscillations, integrating the scenario into a grand unified SO(10) framework.

Findings

Split scalar spectrum enhances $n-ar{n}$ observability.

AD baryogenesis constrains $n-ar{n}$ oscillation parameters.

Observable $n-ar{n}$ oscillation compatible with low-scale baryogenesis.

Abstract

We discuss the implications of Affleck-Dine (AD) baryogenesis for different classes of baryon and lepton number violating processes: specially focussing on implications for neutron-anti-neutron ($n-\bar{n}$) 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 find 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 $n-\bar{n}$ oscillation, we study some of the familiar operators that connect the AD field to $n-\bar{n}$ oscillation and find that a split scalar spectrum model turns out to be most advantageous for obtaining an observable $n-\bar{n}$ while remaining consistent with AD baryogenesis. It is interesting that this spectrum is similar to a non-supersymmetyric SO(10) model for observable $n-\bar{n}$ 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 $n-\bar{n}$ oscillation is compatible with viable AD baryogenesis. A feature of this baryogenesis scenario for $n-\bar{n}$ oscillation is that it necessarily predicts processes with $\Delta B=4$ or higher, all be it with highly suppressed amplitudes.