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

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.

21 pages, 1 figure, to be published in Physical Review D

References in corpus (8)

• Superconformal Symmetry, NMSSM, and Inflation
• Post--Sphaleron Baryogenesis
• Lattice QCD determination of neutron-antineutron matrix elements with physical quark masses
• Unified TeV Scale Picture of Baryogenesis and Dark Matter
• Neutron-Antineutron Oscillation Search using a 0.37 Megaton$\cdot$Year Exposure of Super-Kamiokande
• Affleck-Dine inflation
• Affleck-Dine Baryogenesis, Split Supersymmetry, and Inflation
• Inflatonic baryogenesis with large tensor mode

Cited by in corpus (12)

• Type II Seesaw Leptogenesis
• Form factors of $P\to T$ transition within the light-front quark models
• Lepton Flavour Violation Tests of Type II Seesaw Leptogenesis
• Affleck-Dine Cogenesis of Baryon and Dark Matter
• Neutrino Mass from Affleck-Dine Leptogenesis and WIMP Dark Matter
• Vacuum stability of the type II seesaw leptogenesis from inflation
• Leptogenesis via Inflaton Mass Terms in Non-Minimally Coupled Inflation
• Probing baryogenesis with gravitational waves
• Predicting the Dark Matter -- Baryon Abundance Ratio
• Leptogenesis and neutrino mass with one right-handed neutrino and Higgs inflaton
• Unified Origin of Curvature Perturbation and Baryon Asymmetry of the Universe
• A Unified Model for Inflation, pseudo-Goldstone Dark Matter, Neutrino Mass and Baryogenesis