See Saw Inflation / Dark Matter / Dark Energy / Baryogenesis

Abstract

Motivated by BICEP2 results that imply gravitational waves are produced when the universe has an expansion energy of about $Mc^2 \approx 10^{14}$ GeV and that a natural extension to the Standard Model of Particle physics is a right-handed neutrino that would or could be at $m_{\nu_R}c^2 \approx 10^{14}$ GeV, I propose here a See-Saw Inflation model which fits into the general class of models we have dubbed "Wiggly Whipped Inflation"\cite{Hazra:2014WWI}. The residual heavy right-handed neutrinos work out to be Dark Matter in reasonable physical scenarios. The same scalar boson that stabilises the heavy right-handed neutrino mass then becomes the Inflaton whose potential is set by self-coupling and the heavy right-handed neutrino mass coupling. Following this See-Saw Inflation one also finds that the seesaw mechanism provides for an after electroweak symmetry breaking offset in the Inflaton potential at the near GUT scale vev by an amount set by the lightest neutrino and thus as a consequence produces a "Dark Energy" at a scale set by the lightest left-handed neutrino mass $m_{\nu_L} \sim 10^{-3}$ eV. Since these neutrinos are Majorana particles and violate lepton number conservation, they are the natural mediators of baryogenesis at the electroweak scale. The residual heavy right-handed neutrinos work out to be Dark Matter with some fine tuning. So an unaesthetic fine-tuned model can address the four remaining fundamental issues of cosmology by linking them to the neutrino sector. The resurrected SO(10) GUT model provides a framework for the development of this scenario and allows a specific prediction for the Inflaton potential and a framework for fitting to neutrino as well as cosmological observables.